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TW201805080A - Tapered-shape determining method and passage schedule setting method - Google Patents

Tapered-shape determining method and passage schedule setting method Download PDF

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Publication number
TW201805080A
TW201805080A TW106124162A TW106124162A TW201805080A TW 201805080 A TW201805080 A TW 201805080A TW 106124162 A TW106124162 A TW 106124162A TW 106124162 A TW106124162 A TW 106124162A TW 201805080 A TW201805080 A TW 201805080A
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Taiwan
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shape
shape control
rolling
width
cone
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TW106124162A
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Chinese (zh)
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相沢敦
山下悟
冨村宏紀
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日新製鋼股份有限公司
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Priority claimed from JP2016143483A external-priority patent/JP6251334B1/en
Priority claimed from JP2016143482A external-priority patent/JP6154945B1/en
Application filed by 日新製鋼股份有限公司 filed Critical 日新製鋼股份有限公司
Publication of TW201805080A publication Critical patent/TW201805080A/en

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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B37/00Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/28Control of flatness or profile during rolling of strip, sheets or plates
    • B21B37/38Control of flatness or profile during rolling of strip, sheets or plates using roll bending
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B37/00Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/58Roll-force control; Roll-gap control

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Control Of Metal Rolling (AREA)

Abstract

This method for determining a taper shape of an intermediate roll (10) in a six-stage rolling mill (1) equipped with an intermediate roll shift mechanism (2) comprises: an input step for inputting conditions, other than those for the taper shape, which are necessary for determining a shape control region indicating a range in which shape control can be performed on a rolled material (8); and a determination step for determining the taper shape so that the shape control region includes the origin of a two-dimensional plane of coordinates both under a first condition where a load exerted per unit width of the rolled material (8) is minimized, and under a second condition where the load exerted per unit width is maximized.

Description

錐體形狀決定方法及路徑排程設定方法Method for determining cone shape and path schedule setting method

本發明係關於冷軋機所具有之中間輥的錐體形狀決定方法,以及多級軋製機中路徑排程的設定方法。The present invention relates to a method for determining a cone shape of an intermediate roll provided in a cold rolling mill and a method for setting a path schedule in a multi-stage rolling mill.

一直以來,在冷軋中,廣泛地使用具備中間輥的多級軋製機(六級軋製機、十二級軋製機、二十級軋製機等)。具備中間輥的多級軋製機係至少包含:一對工作輥,將作為軋製對象的軋製材(例如,金屬帶)朝其厚度方向夾入;一對中間輥,各自設於該一對工作輥的背後;一對支撐輥,透過該中間輥支撐前述工作輥。因為前述工作輥係受到軋製材的變形阻力而偏轉,故多級軋製機係具備用於控制軋製後之薄板形狀的各種形狀控制機構(形狀控制手段)。In cold rolling, multi-stage rolling mills (six-stage rolling mill, twelve-stage rolling mill, and twenty-stage rolling mill) having intermediate rolls have been widely used. A multi-stage rolling mill including an intermediate roll includes at least a pair of work rolls that sandwich a rolled material (for example, a metal strip) as a rolling target in a thickness direction thereof, and a pair of intermediate rolls each provided in the pair. Behind the work roll; a pair of support rolls through which the work roll is supported. Since the work roll system is deflected by the deformation resistance of the rolled material, the multi-stage rolling mill is provided with various shape control mechanisms (shape control means) for controlling the shape of the sheet after rolling.

在冷軋中,一般採用下述方法:於軋製開始時,在初始設定輥彎曲機構及輥移動機構等之形狀控制機構之控制量的同時,使用設置於軋製機出口側之形狀檢測器來測定軋製中的軋製材形狀,並基於測定結果來修正形狀控制機構的控制量。In cold rolling, the following methods are generally used: at the beginning of rolling, the shape detectors such as the roll bending mechanism and the roll moving mechanism are initially set, and a shape detector provided at the exit side of the rolling mill is used. The shape of the rolled material during rolling is measured, and the control amount of the shape control mechanism is corrected based on the measurement result.

在軋製後之薄板的形狀中,不僅具有耳部延伸(於軋製方向中,板端部的延伸較薄板中央更長)、中部延伸(於軋製方向中,中央的延伸較板端部更長)等單純的形狀不良,亦具有由四分之一(Quarter)延伸及各種延伸所組合之複合延伸。因此,較佳係在薄板寬度方向中的複數個位置,來評價軋製形狀。具體而言,一般係進行下述控制:以相對於板端部及四分之一部之板寬中央的延伸率差值,評價軋製形狀,並以使各延伸率差值成為目標值的方式,來控制形狀。再者,四分之一部係意味著,在板寬方向中薄板中央與板端部之間的部分。In the shape of the rolled sheet, not only the ear extension (in the rolling direction, the end of the plate is longer than the center of the sheet), the middle extension (in the rolling direction, the center is longer than the end of the plate) Longer) and other simple shape defects, it also has a composite extension by a quarter extension (Quarter) and various extensions. Therefore, the rolled shape is preferably evaluated at a plurality of positions in the sheet width direction. Specifically, generally, the following control is performed: the rolling shape is evaluated based on the elongation difference with respect to the plate width center of the plate end portion and the quarter portion, and the elongation difference is set to a target value. Way to control the shape. Furthermore, the quarter portion means a portion between the center of the thin plate and the end portion of the plate in the plate width direction.

在六級軋製機、十二級軋製機、二十級軋製機等多級軋製機中,利用中間輥移動機構作為形狀控制機構,其係使被設於一側端部之一級或多級錐體的中間輥朝軸方向移動。中間輥移動機構係藉由使中間輥朝軸方向移動來將錐體部移動,藉此,使中間輥、工作輥及支撐輥的接觸荷重分布變化,並控制軋製後薄板的形狀。接著,若將中間輥的錐體形狀(錐體角度、錐體長度)最適化,則藉由組合中間輥移動機構及輥彎曲機構等形狀控制機構,並藉由使用高精度形狀控制系統來進行形狀控制,能夠有效地進行形狀控制並獲得良好的軋製形狀。然而,一般係基於經驗並依賴嘗試錯誤法來決定中間輥之錐體形狀,且因為未進行錐體形狀的最適化,故無法獲得良好的軋製形狀。In a multi-stage rolling mill such as a six-stage rolling mill, a twelve-stage rolling mill, and a twenty-stage rolling mill, an intermediate roll moving mechanism is used as a shape control mechanism, and it is arranged at one end of one side. Or the middle roller of the multi-stage cone moves in the axial direction. The intermediate roll moving mechanism moves the cone portion by moving the intermediate roll in the axial direction, thereby changing the contact load distribution of the intermediate roll, the work roll, and the backup roll, and controlling the shape of the sheet after rolling. Next, if the cone shape (cone angle, cone length) of the intermediate roller is optimized, it is performed by combining shape control mechanisms such as the intermediate roller moving mechanism and roller bending mechanism, and by using a high-precision shape control system. Shape control can effectively perform shape control and obtain a good rolled shape. However, generally, the cone shape of the intermediate roll is determined based on experience and trial-and-error methods, and because the cone shape is not optimized, a good rolled shape cannot be obtained.

此處,舉例來說,於專利文獻1中記載一種方法,其係使用數值分析模組來預測軋製形狀,並使此預測形狀儘量接近目標形狀。詳細而言,記載一種方法,其係以含有未知數之4次方以上的函數來近似多級軋製機的中間輥形狀,並使用最小平方法,來決定代表中間輥形狀的未知數。Here, for example, a method is described in Patent Document 1, which uses a numerical analysis module to predict a rolled shape and makes the predicted shape as close as possible to a target shape. In detail, there is described a method for approximating the shape of an intermediate roll of a multi-stage rolling mill by a function including an unknown power to a power of 4 or more, and determining an unknown number representing the shape of the intermediate roll using a least square method.

然而,每次都依照軋製材的板寬、板厚、材質等來變更中間輥的形狀在生產管理上係困難的。因此,在製造現場,較佳係使用同一形狀的中間輥,並以寬廣範圍的軋製條件進行軋製。在經過專利文獻1所記載之方法使形狀最適化後之中間輥中,使用同一形狀的中間輥並在作為該中間輥的對象之整個軋製條件下,獲得良好的軋製形狀係困難的。However, it is difficult to change the shape of the intermediate roll in accordance with the plate width, plate thickness, material, etc. of the rolled material each time in terms of production management. Therefore, at the manufacturing site, it is preferable to use intermediate rolls of the same shape and to roll under a wide range of rolling conditions. Among the intermediate rolls whose shape has been optimized by the method described in Patent Document 1, it is difficult to obtain a good rolled shape under the entire rolling conditions as the target of the intermediate roll by using the intermediate roll of the same shape.

為了解決如此問題,專利文獻2提案了一種方法,於進行形狀預測之數值解析的同時,定義形狀評價函數並決定多級軋製機用之中間輥的錐體形狀,使得即使在標準軋製路徑排程以外也能獲得良好的軋製形狀。In order to solve such a problem, Patent Document 2 proposes a method that, while performing numerical analysis of shape prediction, defines a shape evaluation function and determines a cone shape of an intermediate roll for a multi-stage rolling mill, so that even in a standard rolling path A good rolled shape can also be obtained outside the schedule.

[先前技術文獻] [專利文獻] [專利文獻1]日本國公開專利公報「特開昭62-142012號公報(1987年6月25日公開)」 [專利文獻2]日本國公開專利公報「特開平6-39414號公報(1994年2月15日公開)」[Prior Art Documents] [Patent Documents] [Patent Documents 1] Japanese Published Patent Gazette "Japanese Patent Publication No. 62-142012 (published on June 25, 1987)" [Patent Document 2] Japanese Published Patent Gazette "Special Kaiping No. 6-39414 (published on February 15, 1994) "

[發明概要] [發明所欲解決的課題] 若使用經過專利文獻2所記載方法來決定之中間輥,則其係使用經決定後之錐體形狀的中間輥,故可擴大能夠獲得良好軋製形狀之軋製條件的範圍。然而,即使使用具有經專利文獻2所記載方法而決定之錐體形狀的中間輥,能夠對應之軋製條件的範圍亦有極限,故具有無法獲得良好軋製形狀的情形。[Summary of the Invention] [Problems to be Solved by the Invention] If the intermediate roll determined by the method described in Patent Document 2 is used, since the intermediate roll having the determined cone shape is used, it can be expanded to obtain good rolling. Range of shape rolling conditions. However, even if an intermediate roll having a tapered shape determined by the method described in Patent Document 2 is used, there is a limit to the range of rolling conditions that can be supported, so that a good rolled shape may not be obtained.

本發明係有鑑於上述習知之問題點,且本發明的目的係提供一種方法,其係能夠決定可獲得作為軋製對象的複數種類軋製材之良好軋製形狀的軋製條件(特別是中間輥的錐體形狀)。The present invention is conceived in view of the conventional problems described above, and an object of the present invention is to provide a method for determining rolling conditions (especially intermediate rolls) capable of obtaining a good rolling shape of a plurality of types of rolled materials as rolling targets. Cone shape).

[用以解決課題之手段] 本發明之錐體形狀決定方法,其係具備控制作為軋製對象之軋製材軋製形狀之複數種類的形狀控制機構,而作為前述形狀控制機構一例的冷軋機,係具備有使在一側端部含有錐體形狀之中間輥朝向該中間輥的軸方向移動之中間輥移動機構,且前述錐體形狀決定方法係決定冷軋機所具有之前述中間輥之前述錐體形狀的方法,其係包含:輸入步驟,將前述軋製材寬度方向的端部之延伸率與寬度方向中央之延伸率兩者的差值作為x座標,且將較前述端部更靠近前述中央的中間部之延伸率與前述中央之延伸率兩者的差值作為y座標,以形成二次元座標平面,並在前述二次元座標平面中,藉由使複數種類的前述形狀控制機構作動,來輸入用於決定顯示前述軋製材的形狀可控制範圍的形狀控制區域之前述錐體形狀以外的條件;決定步驟,於將具有預先設定之前述中間輥寬度範圍中最大寬度的軋製材作為形狀控制對象時,使前述軋製材的單位寬度荷重成為最小來作為第一條件,以及於將具有前述寬度範圍中最小寬度的軋製材作為形狀控制對象時,使前述單位寬度荷重成為最大來作為第二條件,且在第一條件與第二條件下,以使前述形狀控制區域包含前述二次元座標平面之原點的方式,來決定前述錐體形狀。[Means for Solving the Problems] The cone shape determination method of the present invention includes a shape control mechanism that controls a plurality of types of rolled shapes of rolling materials to be rolled, and is a cold rolling mill as an example of the shape control mechanism. Is provided with an intermediate roll moving mechanism for moving an intermediate roll including a cone shape at one end portion toward the axial direction of the intermediate roll, and the method for determining the shape of the cone is to determine the intermediate roll included in the cold rolling mill. The method of the cone shape includes an input step of using the difference between the elongation of the widthwise end of the rolled material and the elongation of the widthwise center as the x-coordinate, and making it closer to the end. The difference between the elongation of the middle portion of the center and the elongation of the center is used as the y-coordinate to form a two-dimensional coordinate plane, and in the two-dimensional coordinate plane, a plurality of types of the shape control mechanisms are operated. , To input conditions other than the cone shape used to determine the shape control region in which the shape controllable range of the rolled material is displayed; a determination step, in When the rolled material having the maximum width in the aforementioned intermediate roll width range is used as a shape control object, the unit width load of the rolled material is minimized as the first condition, and the rolled material having the smallest width in the aforementioned width range is used as the first condition. When it is a shape control object, the second unit width load is maximized as the second condition, and the first and second conditions are determined so that the shape control region includes the origin of the two-dimensional coordinate plane. The aforementioned cone shape.

本發明之路徑排程設定方法,其係實行複數路徑之多級冷軋機的路徑排程設定方法,其係包含:實行最終路徑的冷軋機,其係具備控制作為軋製對象之軋製材軋製形狀之複數種類的形狀控制機構,而作為前述形狀控制機構的一例,係具備有使在一側端部含有錐體形狀之中間輥朝向該中間輥的軸方向移動之中間輥移動機構;選定步驟,將關於具有前述最終路徑之冷軋機中軋製材寬度方向的端部之延伸率與寬度方向中央之延伸率兩者的差值作為x座標,且將較前述端部更靠近前述中央的中間部之延伸率與前述中央之延伸率兩者的差值作為y座標,以形成二次元座標平面,並在前述二次元座標平面中,藉由使複數種類的前述形狀控制機構作動,以使顯示有前述軋製材的形狀可控制範圍之形狀控制區域包含原點的方式,來選定單位寬度荷重的範圍;設定步驟,以使具有前述最終路徑之冷軋機中的單位寬度荷重被包含在前述選定步驟所選定之單位寬度荷重的範圍內的方式,來設定前述多級冷軋機中至少一個的軋製條件。The route schedule setting method of the present invention is a route schedule setting method of a multi-stage cold rolling mill that implements multiple routes, and includes a cold rolling mill that executes a final route, and is provided with control of rolling materials as rolling targets. A plurality of types of shape control mechanisms for rolling shapes. As an example of the shape control mechanism, an intermediate roller moving mechanism for moving an intermediate roller including a cone shape at one end portion toward the axial direction of the intermediate roller is provided. In the selection step, the difference between the elongation of the widthwise end of the rolled material and the elongation of the widthwise center in the cold rolling mill having the aforementioned final path is taken as the x-coordinate, and it is closer to the center than the end. The difference between the elongation of the middle part and the elongation of the center is used as the y-coordinate to form a two-dimensional coordinate plane, and in the two-dimensional coordinate plane, a plurality of types of the aforementioned shape control mechanisms are operated to The range of the unit width load is selected in such a way that the shape control area showing the shape controllable range of the rolled material includes the origin; setting steps Manner so that the final path of the rolling mill having the unit width load is contained within the width of the selected load range of the selected unit step to set the multi-stage cold rolling mills at least one of the rolling conditions.

[發明之效果] 根據本發明一態樣,能夠決定可獲得複數種類軋製材之良好軋製形狀的軋製條件。[Effects of the Invention] According to one aspect of the present invention, it is possible to determine rolling conditions for obtaining a good rolling shape of a plurality of types of rolled materials.

[用以實施發明之形態] [實施形態1] 以下,若基於圖1~圖5來針對本發明實施形態1進行說明,則如下所示。再者,以下的記載僅係用於更容易理解發明的想法,若非特別指明,則並非限定本發明,又,於本說明書中「A~B」係表示「A以上且B以下」。[Mode for Carrying Out the Invention] [Embodiment 1] Hereinafter, Embodiment 1 of the present invention will be described based on Figs. 1 to 5 as follows. In addition, the following description is only for easier understanding of the idea of the invention, and the invention is not limited thereto unless otherwise specified, and in the present specification, "A to B" means "A to B".

於以下的說明中,為了更容易理解本發明一態樣的錐體形狀決定方法,首先,針對作為前述錐體形狀決定方法的適用對象一例之六級軋製機的概要進行說明,接著,在概略地說明本發明的知識後,針對前述錐體形狀決定方法進行詳細地說明。In the following description, in order to make it easier to understand the cone shape determination method according to one aspect of the present invention, first, the outline of a six-stage rolling mill as an example of the applicable object of the cone shape determination method will be described. After briefly describing the knowledge of the present invention, the method for determining the cone shape will be described in detail.

(六級軋製機的概略構成) 圖1係顯示本發明實施形態1錐體形狀決定方法之適用對象一例之六級軋製機1(冷軋機)構成的概略圖。六級軋製機1係將軋製材8冷軋的冷軋機。此六級軋製機1係可為連續配置有複數軋製機之軋製系統中最終路徑的軋製機,亦可為實行包含最終路徑之複數路徑的單一軋製機。就軋製材8而言,例如為鋼帶等金屬帶。軋製材8亦可為樹脂材料。(Schematic configuration of a six-stage rolling mill) FIG. 1 is a schematic diagram showing a configuration of a six-stage rolling mill 1 (cold rolling mill) which is an example of an application object of a cone shape determination method according to Embodiment 1 of the present invention. The six-stage rolling mill 1 is a cold rolling mill that cold-rolls rolling materials 8. The six-stage rolling mill 1 may be a rolling mill having a final path in a rolling system in which a plurality of rolling mills are continuously disposed, or a single rolling mill that implements a plurality of paths including a final path. The rolled material 8 is, for example, a metal strip such as a steel strip. The rolled material 8 may be a resin material.

如圖1所示,六級軋製機1係具備:一對工作輥9,將軋製材8朝其厚度方向夾入;一對支撐輥11,係將一對工作輥9各自朝其對向方向按壓;一對中間輥10,其係配置於工作輥9與支撐輥11之間,並支撐工作輥9。中間輥10係於一側端部具有錐體形狀。於圖1中,此等輥之相對於紙面的垂直方向係成為長邊方向,軋製材8係在紙面上從右方移向左方並被軋製。As shown in FIG. 1, the six-stage rolling mill 1 is provided with a pair of work rolls 9 that sandwich the rolled material 8 in the thickness direction thereof, and a pair of support rolls 11 that each pair of work rolls 9 face each other. Press in the direction; a pair of intermediate rolls 10 are arranged between the work roll 9 and the support roll 11 and support the work roll 9. The intermediate roller 10 has a tapered shape at one end. In FIG. 1, the vertical direction of these rollers with respect to the paper surface is the long side direction, and the rolled material 8 is moved from the right side to the left side on the paper surface and is rolled.

又,六級軋製機1係具備中間輥移動機構2、中間輥彎曲機構3、差分荷重產生裝置4、形狀檢測器7及程序電腦6。此處,中間輥移動機構2、中間輥彎曲機構3及差分荷重產生裝置4係用於軋製後薄板的形狀控制之形狀控制機構。六級軋製機1係具備複數種類的形狀控制機構,作為其一,可具備中間輥移動機構2。The six-stage rolling mill 1 includes an intermediate roll moving mechanism 2, an intermediate roll bending mechanism 3, a differential load generating device 4, a shape detector 7, and a program computer 6. Here, the intermediate roll moving mechanism 2, the intermediate roll bending mechanism 3, and the differential load generating device 4 are shape control mechanisms for controlling the shape of the sheet after rolling. The six-stage rolling mill 1 is provided with a plurality of types of shape control mechanisms, and may include an intermediate roll moving mechanism 2 as one of them.

中間輥移動機構2係藉由使中間輥10朝其軸方向移動,並使中間輥10所具有之錐體部移動,藉此,使中間輥10、工作輥9及支撐輥11的接觸荷重分布變化,而控制軋製後薄板的形狀。The intermediate roller moving mechanism 2 moves the intermediate roller 10 in the axial direction and moves the cone portion of the intermediate roller 10 to thereby distribute the contact load of the intermediate roller 10, the work roller 9, and the support roller 11. Change while controlling the shape of the sheet after rolling.

中間輥彎曲機構3係將使中間輥10朝軋製材8厚度方向彎曲的力,賦予中間輥10。The intermediate roll bending mechanism 3 applies force to the intermediate roll 10 to bend the intermediate roll 10 in the thickness direction of the rolled material 8.

差分荷重產生裝置4係產生差分荷重,其係用於控制支撐輥11長邊方向之荷重的非對稱性。The differential load generating device 4 generates a differential load, which is used to control the asymmetry of the load in the longitudinal direction of the support roller 11.

形狀檢測器7係檢測軋製後軋製材8形狀的裝置,並將顯示檢測結果的訊號輸出至程序電腦6。The shape detector 7 is a device that detects the shape of the rolled material 8 after rolling, and outputs a signal indicating the detection result to the program computer 6.

程序電腦6係基於形狀檢測器7的輸出訊號,控制中間輥移動機構2、中間輥彎曲機構3及差分荷重產生裝置4。The program computer 6 controls the intermediate roller moving mechanism 2, the intermediate roller bending mechanism 3, and the differential load generating device 4 based on the output signal of the shape detector 7.

再者,六級軋製機1係具備控制程序電腦6的上位電腦5。上位電腦5係具備顯示控制參數等的顯示部5a,以及接收用於變更控制參數之輸入的輸入部5b。The six-stage rolling mill 1 is a host computer 5 including a control program computer 6. The host computer 5 includes a display section 5a that displays control parameters and the like, and an input section 5b that receives an input for changing a control parameter.

(發明知識的概略說明) 在一般的軋製機中,於冷軋後的薄板係產生耳部延伸、中部延伸、及四分之一延伸等各種延伸所組合而成之複合延伸。因此,一般來說,以相對於板端部及四分之一部之板寬中央的延伸率差值來評價軋製形狀,並以使各延伸率差值成為目標值的方式,來控制軋製形狀。良好的軋製形狀係意味著,相對於板端部及四分之一部之板寬中央的延伸率差值小,且板形狀係平坦的。(Brief description of invention knowledge) In a general rolling mill, a thin plate after cold rolling produces a composite extension composed of various extensions such as ear extension, middle extension, and quarter extension. Therefore, generally speaking, the rolling shape is evaluated by the elongation difference with respect to the plate width center of the plate end portion and the quarter portion, and the rolling is controlled so that each elongation difference becomes a target value.制 形。 System shape. A good rolled shape means that the difference in elongation with respect to the center of the plate width of the plate end portion and the quarter portion is small, and the plate shape is flat.

於影響軋製形狀的變動要因中,具有板厚、材質、潤滑狀態、軋製荷重等外部因素,及中間輥彎曲機構、工作輥彎曲機構、中間輥移動機構等形狀控制機構的控制量。板厚係重要的品質項目,通常係藉由自動板厚控制使其幾乎成為一個定值來進行控制。雖然材質及潤滑狀態會影響軋製形狀,但其影響大部分係因應軋製荷重並藉由輥偏轉之變化而產生的。因此,造成軋製中形狀變化的主因係軋製荷重及形狀控制機構的控制量。Among the factors affecting the rolling shape, there are external factors such as plate thickness, material, lubrication status, rolling load, and the control amount of shape control mechanisms such as intermediate roll bending mechanism, work roll bending mechanism, and intermediate roll moving mechanism. Plate thickness is an important quality item, usually controlled by automatic plate thickness control to make it almost a constant value. Although the material shape and lubrication state affect the rolling shape, most of the effects are caused by changes in rolling load and roll deflection. Therefore, the main cause of the shape change during rolling is the rolling load and the control amount of the shape control mechanism.

也就是說,於使用同一軋製機時,在某軋製條件下,基於搭載於該軋製機之形狀控制機構的控制量範圍,來決定軋製形狀的可控制範圍。That is, when the same rolling mill is used, under a certain rolling condition, the controllable range of the rolling shape is determined based on the control amount range of the shape control mechanism mounted on the rolling mill.

針對此軋製形狀的可控制範圍而言,能夠使用如圖2所示之形狀控制平面(形狀控制區域)來視覺上地表示。以下針對該形狀控制平面進行說明。The controllable range of the rolled shape can be visually represented using a shape control plane (shape control region) as shown in FIG. 2. The shape control plane will be described below.

考慮了將軋製材寬度方向的端部之延伸率與寬度方向中央之延伸率兩者的差值(εe)作為x座標,且將較前述端部更靠近前述中央的中間部(四分之一部)之延伸率與前述中央之延伸率兩者的差值(εq)作為y座標,以形成二次元座標平面。為了簡便,此延伸率的差值(延伸率差)係以10-5 作為單位來表示。The difference (εe) between the elongation at the end in the width direction of the rolled material and the elongation at the center in the width direction is considered as the x-coordinate, and the middle portion (quarter) closer to the center than the end portion The difference (εq) between the elongation at the center and the elongation at the center is used as the y-coordinate to form a two-dimensional coordinate plane. For simplicity, the difference in elongation (elongation difference) is expressed in units of 10 -5 .

接著,在該二次元座標平面中,繪製由各形狀控制機構之控制量在最大值時及在最小值時的組合所獲得的點。該繪製圖係使用既有的解析模組,並能夠藉由於演算中輸入必要的參數進行演算處理而獲得。舉例來說,就作為形狀控制機構之具備有中間輥移動機構與中間輥彎曲機構的軋製機而言,基本上,使中間輥移動機構與中間輥彎曲機構中控制量的最大值及最小值之可組合的四點(x座標:板端部延伸率差值εe;y座標:四分之一部的延伸率差值εq),所能夠結合出之四角形成為形狀控制平面。形狀控制平面係顯示了藉由使複數種類的形狀控制機構作動之軋製材8的形狀可控制範圍。然而,如後述般,並非僅以形狀控制機構的控制量範圍來決定形狀控制平面,其他的軋製條件亦會對形狀控制平面的形狀及位置產生影響。Next, in the two-dimensional coordinate plane, points obtained by combining the control amount of each shape control mechanism at the maximum value and the minimum value are plotted. The drawing is based on an existing analysis module, and can be obtained by inputting necessary parameters for calculation in the calculation. For example, for a rolling mill having an intermediate roll moving mechanism and an intermediate roll bending mechanism as a shape control mechanism, the maximum and minimum values of the control amount in the intermediate roll moving mechanism and the intermediate roll bending mechanism are basically set. The four points that can be combined (x-coordinate: difference in elongation at the end of the plate εe; y-coordinate: difference in elongation at one-quarter of the portion εq). The four corners that can be combined form the shape control plane. The shape control plane shows a controllable range of the shape of the rolled material 8 by operating a plurality of shape control mechanisms. However, as will be described later, the shape control plane is not determined only by the control amount range of the shape control mechanism. Other rolling conditions also affect the shape and position of the shape control plane.

藉由評價此形狀控制平面是否包含原點,即評價是否包含相對於板端部與四分之一部之板寬中央兩者的差值皆為零的點,能夠評價是否具有控制形狀控制機構並獲得良好軋製形狀的可能性。也就是說,在形狀控制平面不含原點的情況下,即使使用高精度形狀控制系統,亦無法獲得良好的軋製形狀。另一方面,在形狀控制平面包含原點的情況下,藉由使用高精度形狀控制系統,能夠獲得良好的軋製形狀。By evaluating whether the shape control plane includes the origin, that is, whether the point with the difference between the end of the plate and the center of the quarter width of the plate is zero, it is possible to evaluate whether a shape control mechanism is included. And the possibility of obtaining a good rolled shape. That is, when the shape control plane does not include the origin, even if a high-precision shape control system is used, a good rolled shape cannot be obtained. On the other hand, when the shape control plane includes the origin, a good rolled shape can be obtained by using a high-precision shape control system.

在本發明的一態樣中,為了獲得能夠得到良好的軋製形狀之軋製條件,使用此形狀控制平面。以下,針對使用形狀控制平面的理由進行說明。In one aspect of the present invention, in order to obtain rolling conditions capable of obtaining a good rolling shape, the shape control plane is used. The reason for using the shape control plane will be described below.

使用習知方法所決定之中間輥,在軋製作為軋製對象之複數種類的軋製材時,因為軋製條件(板寬、軋製荷重)係根據軋製材而變化,亦有無法獲得良好軋製形狀的情形。When the intermediate roll determined by the conventional method is used to roll a plurality of types of rolled materials to be rolled, the rolling conditions (plate width, rolling load) vary depending on the rolled material, and there is also a failure to obtain good rolling. The shape of the system.

本發明人們針對能夠獲得作為軋製對象之複數種類軋製材之良好軋製形狀的軋製條件(特別是,中間輥的錐體形狀)決定方法進行各種調查及探討。結果,在著重於板寬及單位寬度荷重所造成之軋製形狀的影響下,明確地發現:(i)板寬越寬及單位寬度荷重越小時,形狀控制平面係朝中部延伸及W形延伸的方向移動;(ii)板寬越窄及單位寬度荷重越大時,形狀控制平面係朝耳部延伸及四分之一部延伸的方向移動。此處,單位寬度荷重係指以板寬除以軋製荷重而獲得之單位寬度的荷重值。The present inventors have conducted various investigations and studies on a rolling condition (in particular, a cone shape of an intermediate roll) for determining a rolling condition capable of obtaining a good rolling shape of a plurality of types of rolling materials to be rolled. As a result, under the influence of the rolling shape due to the plate width and the unit width load, it was clearly found that: (i) the wider the plate width and the smaller the unit width load, the shape control plane extends toward the middle and W-shape. (Ii) When the board width is narrower and the load per unit width is larger, the shape control plane is moved in the direction in which the ears extend and the quarters extend. Here, the unit width load refers to a load value of a unit width obtained by dividing a plate width by a rolling load.

針對此,使用圖2的(a)及(b)進行說明。圖2的(a)係顯示軋製材板寬對於形狀控制平面之影響的圖,(b)係顯示單位寬度荷重對於形狀控制平面之影響的圖。此處,板端部係指從板端至50mm的位置,四分之一部係指板寬中央到板端部為止之70%距離的位置。This will be described using (a) and (b) of FIG. 2. (A) is a figure which shows the influence of the width of a rolled material plate on a shape control plane, (b) is a figure which shows the influence of a unit width load on a shape control plane. Here, the board end refers to a position from the board end to 50 mm, and the quarter part refers to a position at a distance of 70% from the center of the board width to the board end.

如圖2的(a)所示,將軋製材的板寬變更成850、950、1050mm,並藉由計算來求得各情況下的形狀控制平面。結果,板寬越寬,形狀控制平面的x座標係朝負方向(中部延伸)及y座標係朝負方向(W形延伸方向)移動。另一方面,板寬越窄,則形狀控制平面的x座標係朝正方向(耳部延伸)及y座標係朝正方向(四分之一部延伸方向)移動。As shown in FIG. 2 (a), the sheet width of the rolled material was changed to 850, 950, and 1050 mm, and the shape control plane in each case was obtained by calculation. As a result, the wider the board width, the x-coordinate system of the shape control plane moves in the negative direction (the middle portion extends) and the y-coordinate system moves in the negative direction (the W-shaped extension direction). On the other hand, the narrower the board width, the x-coordinate system of the shape control plane moves in the positive direction (the ear portion extends) and the y-coordinate system moves in the positive direction (the quarter portion extension direction).

又,如圖2的(b)所示,將單位寬度荷重變更成3.46、4.17、4.84kN/mm,並藉由計算來求得各情況下的形狀控制平面。結果,單位寬度荷重越小,形狀控制平面的x座標係朝負方向(中部延伸)及y座標係朝負方向(W形延伸方向)移動。另一方面,單位寬度荷重越大,則形狀控制平面的x座標係朝正方向(耳部延伸)及y座標係朝正方向(四分之一部延伸方向)移動。As shown in FIG. 2 (b), the unit width load was changed to 3.46, 4.17, and 4.84 kN / mm, and the shape control plane in each case was obtained by calculation. As a result, the smaller the unit width load, the x-coordinate system of the shape control plane moves in the negative direction (the middle portion extends) and the y-coordinate system moves in the negative direction (the W-shaped extension direction). On the other hand, as the load per unit width becomes larger, the x-coordinate system of the shape control plane moves in the positive direction (the ear portion extends) and the y-coordinate system moves in the positive direction (the quarter portion extension direction).

如此一來,本發明人們發現,在預先設定軋製機所具備之複數種類形狀控制機構之各個控制量範圍的前提下,形成於前述二次元座標平面之形狀控制平面的位置及形狀變化之主因係中間輥的錐體形狀(錐體角度、錐體長度)、板寬、單位寬度荷重。即使軋製材的材質、板厚、張力等軋製條件改變,只要是同一個單位寬度荷重,形狀控制平面亦不會有太大變化。In this way, the present inventors have found that the position of the shape control plane formed on the above-mentioned two-dimensional coordinate plane and the main cause of the shape change are set on the premise of setting each control amount range of the plurality of shape control mechanisms provided in the rolling mill. It is the cone shape (cone angle, cone length), plate width, and unit width load of the middle roller. Even if the rolling conditions such as the material, sheet thickness, and tension of the rolled material are changed, as long as the same unit width load, the shape control plane will not change much.

從此等來看,本發明人們進而獲得以下技術思想:在作為中間輥對象之板寬範圍中,在最大板寬下,使最終路徑的單位寬度荷重變得最小之條件下,以及在最小板寬下,使最終路徑的單位寬度荷重變得最大之條件下,設定錐體形狀並使形狀控制平面包含原點,在作為前述中間輥對象之製造種類的整體中,形狀控制平面係容易包含原點,且能夠獲得良好的軋製形狀。From these points of view, the inventors have further obtained the following technical ideas: under the condition that the unit width load of the final path is minimized under the maximum plate width in the range of the plate width as the intermediate roll object, and at the minimum plate width Under the condition that the unit width load of the final path is maximized, the shape of the cone is set so that the shape control plane includes the origin. The shape control plane is easy to include the origin in the entirety of the manufacturing type of the intermediate roller object. , And can obtain a good rolled shape.

也就是說,吾人發現在圖2所示之二次元座標平面中,基於作為中間輥之對象的板寬範圍及各種軋製條件,來算出形狀控制平面,並在使形狀控制平面朝最左下方移動與朝最右上方移動的兩個條件下,若採用使形狀控制平面包含原點之錐體形狀,能夠獲得作為軋製對象之複數種類軋製材的良好軋製形狀。In other words, I found that in the two-dimensional coordinate plane shown in FIG. 2, based on the plate width range and various rolling conditions as the target of the intermediate roll, the shape control plane was calculated, and the shape control plane was directed to the lower left. In the two conditions of moving and moving to the upper right, if a cone shape including the origin is included in the shape control plane, it is possible to obtain a good rolled shape of a plurality of types of rolled materials to be rolled.

(上位電腦的構成) 基於以上所說明過之本發明的知識,以下針對錐體形狀決定方法的具體例進行說明。在本實施形態中,作為本發明的一例,使用六級軋製機所含有之上位電腦5,並顯示了決定能夠獲得作為軋製對象之複數種類軋製材之良好軋製形狀的方法。再者,就用於決定錐體形狀所使用之電腦而言,只要是安裝有用於決定形狀控制平面之程序的電腦即可,亦可使用與上位電腦5不同的電腦(例如個人電腦)。(Configuration of Host Computer) Based on the knowledge of the present invention described above, a specific example of a method for determining a cone shape will be described below. In the present embodiment, as an example of the present invention, a method for determining a good rolling shape of a plurality of types of rolled materials to be rolled is shown by using the upper computer 5 included in the six-stage rolling mill. The computer used to determine the shape of the cone may be any computer provided with a program for determining the shape control plane, and a computer different from the host computer 5 (for example, a personal computer) may be used.

基於圖3,針對上位電腦5的構成進行說明。圖3係顯示本實施形態之六級軋製機1所含有上位電腦5之概略構成的方塊圖。再者,除了此處所說明的事項之外,上位電腦5還具備用於控制軋製等各種功能。The configuration of the host computer 5 will be described based on FIG. 3. FIG. 3 is a block diagram showing a schematic configuration of a host computer 5 included in the six-stage rolling mill 1 according to this embodiment. In addition to the matters described here, the host computer 5 has various functions for controlling rolling and the like.

如圖3所示,上位電腦5係具備控制部20、儲存部30、及輸出部40。在上位電腦5中,輸入部5b(例如滑鼠、鍵盤)、顯示部5a(例如液晶顯示器等顯示裝置)、及程序電腦6係處於連接狀態。As shown in FIG. 3, the host computer 5 includes a control unit 20, a storage unit 30, and an output unit 40. In the host computer 5, the input unit 5b (for example, a mouse and a keyboard), the display unit 5a (for example, a display device such as a liquid crystal display), and the program computer 6 are connected.

又,控制部20係具備形狀控制平面決定部21、顯示控制部22、及單位寬度荷重算出部23。儲存部30係儲存軋製參數31、形狀控制平面決定程式32、單位寬度荷重算出程式33。The control unit 20 includes a shape control plane determination unit 21, a display control unit 22, and a unit width load calculation unit 23. The storage unit 30 stores rolling parameters 31, a shape control plane determination program 32, and a unit width load calculation program 33.

控制部20係控制上位電腦5整體的動作,其係例如為CPU(Central Processing Unit)。控制部20所具備的各部分,係可作為由CPU而動作之軟體來實現。The control unit 20 controls the overall operation of the host computer 5 and is, for example, a CPU (Central Processing Unit). Each part of the control unit 20 can be implemented as software that operates by a CPU.

將控制部20中的形狀控制平面決定部21、顯示控制部22、及單位寬度荷重算出部23的詳細說明,與上位電腦5所實行之決定錐體形狀之處理的流程例說明,一同於後述進行說明。The detailed description of the shape control plane determination unit 21, the display control unit 22, and the unit width load calculation unit 23 in the control unit 20 will be described later together with an example of a process for determining the shape of the cone performed by the host computer 5, which will be described later. Be explained.

儲存部30係為可儲存用於控制部20中之各種資料的非揮發性儲存裝置(例如硬碟、快閃記憶體)。The storage section 30 is a non-volatile storage device (eg, a hard disk, a flash memory) that can store various data used in the control section 20.

軋製參數31係透過輸入部5b而被輸入的資料。此軋製參數31係可為六級軋製機1單體的軋製條件,亦可為用於決定含有六級軋製機1之串聯軋製機之路徑排程的軋製條件。軋製參數31係可用於單位寬度荷重算出部23之單位寬度荷重的算出,及形狀控制平面決定部21的演算。The rolling parameters 31 are data input through the input unit 5b. This rolling parameter 31 may be a rolling condition of the six-stage rolling mill 1 alone, or may be a rolling condition for determining a route schedule of a tandem rolling mill including the six-stage rolling mill 1. The rolling parameters 31 are used for calculation of the unit width load of the unit width load calculation unit 23 and calculation by the shape control plane determination unit 21.

形狀控制平面決定程式32係被用於形狀控制平面決定部21的演算,單位寬度荷重算出程式33係被用於單位寬度荷重算出部23之單位寬度荷重的算出。就形狀控制平面決定程式32及單位寬度荷重算出程式33而言,能夠使用既有的程式,例如,能夠使用軋製機製造商等所建構之解析模組。The shape control plane determination program 32 is used for calculation by the shape control plane determination unit 21, and the unit width load calculation program 33 is used for calculation of the unit width load of the unit width load calculation unit 23. The shape control plane determination program 32 and the unit width load calculation program 33 can use existing programs, for example, an analysis module constructed by a rolling mill manufacturer or the like can be used.

輸出部40係將來自控制部20的各種指令輸出至程序電腦6。The output unit 40 outputs various commands from the control unit 20 to the program computer 6.

(決定錐體形狀的處理流程) 接著,使用圖4,說明上位電腦5實行之決定錐體形狀的處理流程。圖4係顯示上位電腦5實行之決定錐體形狀的處理流程一例之流程圖。(Processing Flow for Determining Cone Shape) Next, a processing flow for determining the shape of the cone executed by the host computer 5 will be described using FIG. 4. FIG. 4 is a flowchart showing an example of a processing flow for determining the shape of the cone executed by the host computer 5.

如圖4所示,首先,輸入部5b係接收來自使用者之各種資料(錐體形狀以外)的輸入(步驟11;以下簡稱為S11)(輸入步驟,第一步驟)。控制部20係將輸入之該各種資料作為軋製參數31而儲存於儲存部30。軋製參數31係包含作為軋製條件之參數,舉例來說,其係包含母板厚度、完成品厚度(製品厚度)、板寬、軋製材的材質(變形阻抗)、輥徑、輥材料間摩擦係數、軋台(Stand)間張力等參數。接著,軋製參數31係包含,顯示作為中間輥10處理對象之複數種類軋製材之板寬範圍的資料。As shown in FIG. 4, first, the input unit 5b receives input of various data (other than the cone shape) from the user (step 11; hereinafter simply referred to as S11) (input step, first step). The control unit 20 stores the inputted various data in the storage unit 30 as the rolling parameters 31. Rolling parameters 31 include parameters as rolling conditions. For example, they include the thickness of the master plate, the thickness of the finished product (product thickness), the width of the plate, the material of the rolled material (deformation resistance), the roll diameter, and the roll material. Parameters such as friction coefficient and tension between stands. Next, the rolling parameter 31 includes data showing a plate width range of a plurality of types of rolled materials to be processed by the intermediate roll 10.

接著,單位寬度荷重算出部23係從儲存部30讀出軋製參數31及單位寬度荷重算出程式33,並算出六級軋製機1的最大單位寬度荷重及最小單位寬度荷重(S12)。此最大單位寬度荷重係將來自輸入之軋製條件(軋製參數31)所預測之荷重範圍中的最大荷重,除以作為中間輥10處理對象之複數種類軋製材的板寬中最小的板寬時,所獲得之值。又,最小單位荷重係將前述荷重範圍中的最小荷重,除以前述複數種類軋製材中最大的板寬時,所獲得之值。Next, the unit width load calculation unit 23 reads the rolling parameters 31 and the unit width load calculation formula 33 from the storage unit 30, and calculates the maximum unit width load and the minimum unit width load of the six-stage rolling mill 1 (S12). This maximum unit width load is obtained by dividing the maximum load in the range of loads predicted from the input rolling conditions (rolling parameter 31) by the smallest plate width among the plate widths of the plurality of types of rolled materials to be processed by the intermediate roll 10. Time, the value obtained. The minimum unit load is a value obtained when the minimum load in the load range is divided by the largest plate width in the plurality of types of rolled materials.

之後,輸入部5b係接收來自使用者之顯示中間輥10的錐體形狀之數值(錐體角度、錐體長度)的輸入(S13:第二步驟)。就顯示前述錐體形狀的數值而言,可輸入顯示有具有使用者可使用之複數種類中間輥10中錐體形狀的任一者。又,使用既有的程式進行形狀預測之數值解析的結果,可輸入顯示經使用者判斷後之錐體形狀的數值,且此係為較佳。再者,在多級錐體的情況下,亦可輸入各錐體角度及各錐體長度。After that, the input unit 5b receives input from the user of the values (cone angle, cone length) of the cone shape of the intermediate roll 10 (S13: second step). As for the numerical value for displaying the aforementioned cone shape, any one having a cone shape in a plurality of types of intermediate rollers 10 usable by a user can be input and displayed. In addition, as a result of numerical analysis of shape prediction using an existing program, it is possible to input and display a numerical value of the cone shape after the user judges, and this is preferable. Furthermore, in the case of a multi-stage cone, it is also possible to input each cone angle and each cone length.

接著,形狀控制平面決定部21係使用顯示有軋製參數31及中間輥10錐體形狀的數值,以及使用單位寬度荷重算出部23所算出之最大單位寬度荷重及最小單位寬度荷重,來算出在以下的第一條件及第二條件中,用於形狀控制平面的作成之繪製圖(S14)。也就是說,第一條件係指,將具有針對中間輥10所預先設定之寬度範圍中最大寬度板寬的軋製材8作為形狀控制對象,並使該軋製材8的單位寬度荷重成為最小之條件。第二條件係指,將具有針對中間輥10所預先設定之寬度範圍中最小寬度板寬的軋製材8作為形狀控制對象,並使該軋製材8的單位寬度荷重成為最大之條件。Next, the shape control plane determination unit 21 uses the numerical values showing the rolling parameters 31 and the cone shape of the intermediate roll 10 and the maximum unit width load and the minimum unit width load calculated by the unit width load calculation unit 23 to calculate In the following first and second conditions, a drawing for creating a shape control plane (S14). That is, the first condition refers to a condition in which a rolled material 8 having a maximum width plate width in a width range preset for the intermediate roll 10 is used as a shape control object, and a unit width load of the rolled material 8 is minimized. . The second condition refers to a condition that a rolled material 8 having a minimum width plate width in a width range preset for the intermediate roll 10 is used as a shape control object, and a unit width load of the rolled material 8 is maximized.

形狀控制平面決定部21係針對該等第一條件及第二條件,各自算出界定形狀控制面的4個點。接著,顯示控制部22係使用形狀控制平面決定部21所算出之4點的座標,針對前述第一條件及第二條件,各自生成顯示形狀控制平面的圖像,並將該圖像顯示於顯示部5a(S15)。換言之,使用在前述第一步驟及第二步驟所輸入之數值,來決定前述第一條件及第二條件中各自的形狀控制平面(第三步驟)。The shape control plane determination unit 21 calculates four points defining the shape control surface for each of the first condition and the second condition. Next, the display control unit 22 uses the coordinates of the four points calculated by the shape control plane determination unit 21 to generate an image showing the shape control plane for each of the first condition and the second condition, and displays the image on the display. Section 5a (S15). In other words, the values entered in the first and second steps are used to determine the respective shape control planes in the first and second conditions (third step).

接著,針對前述第一條件及第二條件,使用者判斷各自顯示於顯示部5a的形狀控制平面是否包含二次元座標的原點(S16)。Next, for the first condition and the second condition, the user determines whether or not the shape control planes displayed on the display section 5a include the origin of the two-dimensional coordinate (S16).

在前述第一條件及第二條件中至少任一者的形狀控制平面未包含二次元座標原點之情況下(S16是NO),使用者將顯示中間輥10之錐體形狀的數值(錐體角度、錐體長度)輸入至輸入部5b,並重複S13~S16的處理。In the case where the shape control plane of at least one of the first and second conditions does not include the origin of the quadratic coordinate (NO at S16), the user will display the value of the cone shape of the intermediate roller 10 (cone Angle, cone length) are input to the input section 5b, and the processes of S13 to S16 are repeated.

在前述第一條件及第二條件中任一者的形狀控制平面皆包含二次元座標原點之情況下(S16是YES),採用此時之顯示中間輥10之錐體形狀的數值。換言之,決定中間輥10的錐體形狀(決定步驟)。In the case where the shape control plane of any of the first and second conditions includes the origin of the two-dimensional coordinate (YES at S16), the value showing the cone shape of the intermediate roller 10 at this time is adopted. In other words, the cone shape of the intermediate roller 10 is determined (determination step).

如上述般,本實施形態中錐體形狀決定方法,係決定作為冷軋機之六級軋製機1所具有中間輥10的錐體形狀的方法。六級軋製機1係作為控制為軋製對象之軋製材軋製形狀的形狀控制機構,並具備(i)中間輥移動機構2,其係使在一側端部含有錐體形狀之中間輥10朝向其軸方向移動;及(ii)中間輥彎曲機構3。As described above, the cone shape determination method in this embodiment is a method of determining the cone shape of the intermediate roll 10 included in the six-stage rolling mill 1 as a cold rolling mill. The six-stage rolling mill 1 is a shape control mechanism that controls the rolling shape of the rolling material to be rolled, and is provided with (i) an intermediate roll moving mechanism 2 that includes a cone-shaped intermediate roll at one end portion. 10 moves in the direction of its axis; and (ii) the intermediate roller bending mechanism 3.

此處,將軋製材寬度方向的端部之延伸率與寬度方向中央之延伸率兩者的差值作為x座標,且將較前述端部更靠近前述中央的中間部之延伸率與前述中央之延伸率兩者的差值作為y座標,以形成二次元座標平面,並在前述二次元座標平面中,藉由使中間輥移動機構2及中間輥彎曲機構3作動,以將顯示有前述軋製材的形狀可控制範圍之區域作為形狀控制區域。Here, the difference between the elongation of the end of the rolled material in the width direction and the elongation of the center in the width direction is taken as the x-coordinate, and the elongation of the middle portion closer to the center than the end portion and the center The difference between the two elongations is used as the y-coordinate to form a two-dimensional coordinate plane, and in the aforementioned two-dimensional coordinate plane, the intermediate roll moving mechanism 2 and the intermediate roll bending mechanism 3 are operated to display the aforementioned rolled material. The area of the shape controllable range is used as the shape control area.

本實施形態中的錐體形狀決定方法係包含:(i)第一步驟,輸入顯示有用於決定前述形狀控制區域之軋製條件的數值;(ii)第二步驟,輸入顯示中間輥10的錐體形狀之數值;(iii)第三步驟,使用在前述第一步驟及第二步驟所輸入之數值,來決定前述第一條件及第二條件中各自的形狀控制平面,且第一條件及第二條件分別為:(a)將具有針對中間輥10所預先設定之寬度範圍中最大寬度的板寬之軋製材作為形狀控制對象時,該軋製材的單位寬度荷重成為最小之條件;(b)將具有針對中間輥10所預先設定之寬度範圍中最小寬度的板寬之軋製材作為形狀控制對象時,該單位寬度荷重成為最大之條件。The method for determining the shape of the cone in this embodiment includes: (i) a first step of inputting and displaying a numerical value for determining a rolling condition for the shape control region; (ii) a second step of inputting and displaying the cone of the intermediate roll 10 The value of the body shape; (iii) the third step, using the values entered in the first step and the second step to determine the respective shape control planes in the first and second conditions; and the first and second conditions The two conditions are: (a) the condition that the unit width load of the rolled material becomes the smallest when a rolled material having a plate width of the largest width in the width range preset for the intermediate roll 10 is used as the shape control object; (b) When a rolled material having a plate width having a minimum width in the width range preset for the intermediate roll 10 is used as a shape control object, the unit width load becomes the maximum condition.

接著,使用者係以使在前述第三步驟所決定之各形狀控制區域包含前述二次元座標平面的方式,一邊改變前述第二步驟中所輸入之顯示前述錐體形狀的數值,一邊重複前述第二步驟及第三步驟。Next, the user repeats the first step while changing the numerical value of the cone shape input in the second step so that the shape control regions determined in the third step include the two-dimensional coordinate plane. Second step and third step.

根據上述構成,能夠決定可獲得作為軋製對象的複數種類軋製材之良好軋製形狀的中間輥錐體形狀。According to the above configuration, it is possible to determine the shape of the intermediate roll cone that can obtain a good rolling shape of a plurality of types of rolled materials to be rolled.

再者,在本實施形態中,雖然將具有作為形狀控制機構的中間輥移動機構及中間輥彎曲機構之六級軋製機,作為本發明一態樣之錐體形狀決定方法的對象而進行說明,但即使針對十二級軋製機及二十級軋製機等六級軋製機以外的軋製機,也當然能夠同樣地適用本發明。又,就形狀控制機構而言,亦可具備作為中間輥彎曲機構之替代的工作輥彎曲機構。In this embodiment, a six-stage rolling mill having an intermediate roll moving mechanism and an intermediate roll bending mechanism as shape control mechanisms will be described as an object of the cone shape determination method according to one aspect of the present invention. However, it goes without saying that the present invention can be similarly applied to rolling mills other than a six-stage rolling mill such as a twelve-stage rolling mill and a twenty-stage rolling mill. The shape control mechanism may include a work roll bending mechanism as an alternative to the intermediate roll bending mechanism.

(實施例) 在與圖2的探討中所使用之軋製機相同的六級軋製機中,使用中間輥10並將對象板寬範圍設為1050mm~1250mm,並在形狀控制完成品的板厚使其成為0.8mm~2.0mm鋼帶之情況下,說明適用本發明一態樣之錐體形狀決定方法的例子。(Example) In the same six-stage rolling mill as the rolling mill used in the examination of FIG. 2, the intermediate roll 10 was used, and the target plate width range was set to 1050 mm to 1250 mm. In the case where the thickness is a steel strip of 0.8 mm to 2.0 mm, an example in which the cone shape determination method according to one aspect of the present invention is applied will be described.

再者,使形狀控制平面中的板端部位於離板端50mm的位置,以及使四分之一部位於從板端中央至板端部為止之70%距離的位置。在第一條件及第二條件中,以使形狀控制平面包含原點的方式來探討錐體條件,並將錐體條件設定為錐體長度為230mm,錐體角度為35/10000。此處,第一條件為:將軋製材8的板寬設為作為中間輥10對象之板寬範圍中的最大板寬1250mm,並使最終路徑的單位寬度荷重成為最小值3.47kN/mm;第二條件為:將軋製材8的板寬設為作為中間輥10對象之板寬範圍中的最小板寬1050mm,並使最終路徑的單位寬度荷重成為最大值4.47kN/mm。Further, the plate end portion in the shape control plane was positioned 50 mm from the plate end, and the quarter portion was positioned at a distance of 70% from the center of the plate end to the plate end portion. In the first condition and the second condition, the cone condition is discussed so that the shape control plane includes the origin, and the cone condition is set to a cone length of 230 mm and a cone angle of 35/10000. Here, the first condition is that the plate width of the rolled material 8 is set to a maximum plate width of 1250 mm in the plate width range as the target of the intermediate roll 10, and the unit width load of the final path is a minimum value of 3.47 kN / mm; The second condition is that the plate width of the rolled material 8 is set to a minimum plate width of 1050 mm in the plate width range as the target of the intermediate roll 10, and the unit width load of the final path is a maximum value of 4.47 kN / mm.

如圖5的(a)所示,在錐體長度為230mm,錐體角度為35/10000的條件中,前述第一條件及第二條件兩者皆使形狀控制平面包含原點。再者,藉由形狀預測的數值分析,確認到在前述錐體條件之作為前述中間輥10對象的製造種類整體中,形狀控制平面包含原點。適用前述中間輥10並將其經過軋製時的最終路徑形狀測定結果顯示於圖5的(b)。藉由形狀檢測器資料,各自算出相對於板端部及四分之一部中央的延伸率差值εe、εq。εe、εq皆在目標值以內。As shown in FIG. 5 (a), in the condition that the cone length is 230 mm and the cone angle is 35/10000, both of the first condition and the second condition described above include the origin of the shape control plane. Furthermore, it was confirmed by numerical analysis of the shape prediction that the shape control plane includes the origin point in the entire manufacturing type that is the object of the intermediate roll 10 in the cone condition. The measurement result of the final path shape when the intermediate roll 10 is applied and rolled is shown in (b) of FIG. 5. From the shape detector data, the elongation differences εe and εq with respect to the plate end portion and the center of the quarter portion were calculated. εe and εq are both within the target value.

[實施形態2] 針對本發明的其他實施形態,若基於圖6~9進行說明,則如下所述。再者,本實施形態中所進行說明的構成之外的構成係與前述實施形態1相同。又,為了方便說明,就與前述實施形態1圖式所示之部件具有相同功能的部件而言,標記相同符號,並省略其說明。[Embodiment 2] Another embodiment of the present invention will be described below based on Figs. 6 to 9. The configuration other than the configuration described in this embodiment is the same as that in the first embodiment. In addition, for convenience of explanation, components having the same functions as those shown in the drawings of the first embodiment are denoted by the same reference numerals, and descriptions thereof are omitted.

在前述實施形態1的錐體形狀決定方法中,在第一條件及第二條件任一者的形狀控制平面皆包含二次元座標平面的原點之情況下,此時採用經設定之中間輥10的錐體形狀。相對於此,在本實施形態中具有下述相異處:即使將錐體形狀變更成各種值,在第一條件及第二條件的形狀控制平面兩者亦皆無法獲得包含二次元座標平面原點之錐體形狀的值時,修正路徑排程的設定。In the method for determining the shape of the cone in the first embodiment, in the case where the shape control plane of either the first condition or the second condition includes the origin of the quadratic coordinate plane, the set intermediate roller 10 is used at this time. Cone shape. On the other hand, this embodiment has the following differences: Even if the shape of the cone is changed to various values, the shape control plane including the two-dimensional coordinate plane cannot be obtained in both the first condition and the second condition of the shape control plane. When the value of the point cone shape is set, the setting of the route schedule is corrected.

就本實施形態方法的一例而言,考慮了下述方法:在決定了第一條件及第二條件的任一者係具有包含二次元座標平面的原點之錐體形狀後,第一條件及第二條件任一者的形狀控制平面係選定了包含二次元座標平面的原點之最終路徑之單位寬度荷重的範圍,且以使最終路徑之單位寬度荷重被包含在此範圍的方式,來修正最終路徑排程的設定。As an example of the method of this embodiment, the following method is considered: After determining that either of the first condition and the second condition has a cone shape including the origin of the plane of the two-dimensional coordinate, the first condition and The shape control plane of any of the second conditions is a range of the unit width load of the final path including the origin of the quadratic coordinate plane, and is corrected so that the unit width load of the final path is included in this range. The setting of the final route schedule.

在前述實施形態1中,舉例來說,使用作為軋製步驟最終路徑而設置的六級軋製機1,並針對本發明一態樣中的錐體形狀決定方法進行說明。一般來說,冷軋的複數軋製機係經常被排成直列來設置,並以連續式串聯冷軋來將一個軋製材連續地進行軋製。就此串聯軋製機的概略構成而言,使用圖6進行說明。圖6係顯示作為本發明實施形態2中路徑排程之設定方法的適用對象一例之串聯軋製機50的構成之概略圖。In the first embodiment described above, for example, the six-stage rolling mill 1 provided as the final path of the rolling step is used, and the method of determining the shape of a cone in one aspect of the present invention will be described. Generally, a plurality of cold rolling mills are often arranged in a row, and a continuous cold rolling is used to continuously roll one rolled material. The schematic structure of this tandem rolling mill is demonstrated using FIG. FIG. 6 is a schematic diagram showing a configuration of a tandem rolling mill 50 as an example of an application target of a route scheduling setting method in Embodiment 2 of the present invention.

如圖6所示,串聯軋製機50(多級冷軋機)係具備作為軋製步驟最終路徑的六級軋製機1,三組的四級軋製機51。再者,四級軋製機51的數量當然並不限於此,又,串聯軋製機50係不僅可為四級軋製機51,亦可具備六級以上的多級軋製機或兩級軋製機,並未特別限定。在圖6中,軋製材8係在紙面上從右方移向左方並被軋製。As shown in FIG. 6, the tandem rolling mill 50 (multi-stage cold rolling mill) includes a six-stage rolling mill 1 as a final path of the rolling step, and three sets of four-stage rolling mills 51. The number of four-stage rolling mills 51 is not limited to this. Of course, the tandem rolling mill 50 series may be not only the four-stage rolling mill 51, but also a multi-stage rolling mill with six or more stages or two stages. The rolling mill is not particularly limited. In FIG. 6, the rolled material 8 is rolled from the right side to the left side on the paper surface.

四級軋製機51係各自具備:一對工作輥51a,將軋製材8朝其厚度方向夾入;一對支撐輥51b,將一對工作輥51a朝其對向方向各自按壓。各四級軋製機51係藉由未圖示的各種感測器及電腦,高度地控制輥的間隙及輥的速度等,並進行軋製中的板厚控制。Each of the four-stage rolling mills 51 includes a pair of work rolls 51 a that sandwich the rolled material 8 in the thickness direction thereof, and a pair of support rolls 51 b that press the pair of work rolls 51 a in the opposite directions. Each of the four-stage rolling mills 51 uses a variety of sensors and computers (not shown) to highly control the roll gap and the speed of the rolls, and performs plate thickness control during rolling.

藉由串連軋製機50,能夠階段性地縮減軋製材8的板厚。在串連軋製機50的各軋製機(軋台)中,將「於軋製材8施加何種程度的軋製荷重(是否縮減板厚)」之條件設定稱為路徑排程。The tandem rolling mill 50 can reduce the thickness of the rolled material 8 in stages. In each rolling mill (roll stand) of the tandem rolling mill 50, the condition setting of "how much rolling load is applied to the rolling material 8 (whether the thickness is reduced or not)" is called a route schedule.

藉由改變路徑排程的設定,能夠使上述六級軋製機1中作為軋製條件之單位寬度荷重的值變化。具體而言,舉例來說,藉由使三台四級軋製機51中的單位寬度荷重增加(使入口側板厚與出口側板厚的差值變大),能夠降低六級軋製機1中的單位寬度荷重。By changing the setting of the path schedule, the value of the unit width load as a rolling condition in the above-mentioned six-stage rolling mill 1 can be changed. Specifically, for example, by increasing the load per unit width in the three four-stage rolling mills 51 (increasing the difference between the thickness on the inlet side and the thickness on the exit side), the six-stage rolling mill 1 can be lowered. Load per unit width.

根據本發明實施形態2中的路徑排程設定方法,即使在無法直接適用前述實施形態1中錐體形狀決定方法的情況下,亦能夠決定獲得複數種類軋製材之良好軋製形狀的軋製條件。針對此點,於以下進行詳細說明。According to the route schedule setting method in the second embodiment of the present invention, even when the cone shape determination method in the first embodiment cannot be directly applied, rolling conditions for obtaining a good rolling shape of a plurality of types of rolled materials can be determined. . This point will be described in detail below.

在前述實施形態1的錐體形狀決定方法中,在第一條件及第二條件中兩者的形狀控制平面皆包含二次元座標原點之情況下,採用此時之中間輥10的錐體形狀。然而,在板寬範圍及單位寬度荷重範圍大的情況下,在作為中間輥10對象之板寬範圍中,在最大板寬下,使最終路徑的單位寬度荷重變得最小之第一條件下;以及在最小板寬下,使最終路徑的單位寬度荷重變得最大之第二條件下,亦有在此兩條件下皆無法獲得使形狀控制平面包含原點之錐體條件的情形。In the method for determining the shape of the cone of the first embodiment, when the shape control planes of both the first condition and the second condition include the origin of the two-dimensional coordinate, the cone shape of the intermediate roller 10 at this time is used. . However, in the case where the board width range and the unit width load range are large, in the board width range as the object of the intermediate roll 10, under the first board condition, the unit width load of the final path is minimized under the first condition; And under the second condition that the unit width load of the final path becomes the maximum under the minimum plate width, there may be cases in which the cone condition that the shape control plane includes the origin is not obtained under both conditions.

更甚者,即使能夠在前述第一條件及第二條件的兩者中,決定使形狀控制平面包含二次元座標原點的錐體條件,而防止了中部延伸及耳部延伸的情況下,針對作為中間輥10對象之複數種類的軋製材(板寬及單位寬度荷重各自之最大值與最小值之間的範圍),亦有產生四分之一延伸或W型延伸的情形。Furthermore, even if it is possible to determine the cone condition that the shape control plane includes the origin of the two-dimensional coordinate in both of the first and second conditions described above, in the case of preventing the middle extension and the ear extension, A plurality of types of rolled materials (ranges between the maximum and minimum values of the plate width and the unit width load), which are the objects of the intermediate roll 10, may produce a quarter extension or a W-shaped extension.

本發明人們注目於:幾乎以最終路徑的軋製條件來決定經過最終路徑後的軋製形狀,且因為至此為止之路徑的軋製條件影響小,若以使最終路徑的形狀控制平面包含原點的方式來設定路徑排程,能夠獲得良好的軋製形狀。也就是說,如上述般的情況下,本發明人發現新的知識:在固定中間輥10的錐體形狀之後,針對作為軋製對象的板寬,使形狀控制平面包含原點之單位寬度荷重的範圍變得明確,並以使最終路徑的單位寬度荷重被包含在前述範圍內的方式,來設定路徑排程,能夠容易獲得良好的軋製形狀。The inventors have noticed that the rolling shape after the final path is almost determined by the rolling conditions of the final path, and because the rolling conditions of the paths so far have little influence, if the shape control plane of the final path includes the origin The way to set the path schedule can get a good rolled shape. That is, in the case as described above, the present inventors discovered new knowledge: after fixing the cone shape of the intermediate roll 10, for the width of the plate to be rolled, the shape control plane includes the unit width load of the origin The range of is made clear, and the path schedule is set so that the unit width load of the final path is included in the aforementioned range, and a good rolled shape can be easily obtained.

針對此單位寬度荷重的範圍,於以下使用圖7進行說明。圖7係顯示每個作為中間輥10對象的板寬,使形狀控制平面含有原點之單位寬度荷重的範圍之圖。The range of this unit width load is demonstrated below using FIG. FIG. 7 is a diagram showing the range of the plate width of each target of the intermediate roll 10 such that the shape control plane includes the unit width load of the origin.

若固定中間輥10的錐體形狀,並固定軋製材的板寬,再賦予各種軋製條件,則能夠例如圖2的(b)所示般,描繪形狀控制平面。接著,此時,根據使作為軋製條件之一的單位寬度荷重變化,將形狀控制平面在二次元座標平面移動(參照圖2的(b))。如此一來,藉由使單位寬度荷重變化,能夠決定使形狀控制平面包含原點之單位寬度荷重的範圍。When the cone shape of the intermediate roll 10 is fixed, the plate width of the rolled material is fixed, and various rolling conditions are provided, the shape control plane can be drawn, for example, as shown in FIG. 2 (b). Next, at this time, the shape control plane is moved on the two-dimensional coordinate plane based on changing the unit width load which is one of the rolling conditions (see FIG. 2 (b)). In this way, by changing the unit width load, it is possible to determine the range of the unit width load in which the shape control plane includes the origin.

具體而言,舉例來說,如圖7所示,將板寬設為1050mm時,使形狀控制平面包含原點之單位寬度荷重的範圍係能夠被決定在約2kN/mm~6kN/mm的範圍。如此一來,能夠讓作為中間輥10對象的板寬使形狀控制平面含有原點之單位寬度荷重的範圍變得明確。Specifically, for example, as shown in FIG. 7, when the plate width is set to 1050 mm, the range of the unit width load including the origin of the shape control plane can be determined in a range of about 2 kN / mm to 6 kN / mm. . In this way, it is possible to make the plate width that is the target of the intermediate roll 10 such that the range of the unit width load including the origin is included in the shape control plane.

當板寬窄時,使形狀控制平面含有原點之單位寬度荷重變小,當板寬大時,使形狀控制平面含有原點之單位寬度荷重變大。如此一來,針對作為軋製對象的板寬,若使形狀控制平面含有原點之單位寬度荷重的範圍明確,並以使最終路徑的單位寬度荷重被包含在前述範圍內的方式,來設定路徑排程,則能夠獲得良好的軋製形狀。When the plate width is narrow, the unit width load that makes the shape control plane containing the origin point becomes smaller, and when the plate width is large, the unit width load that makes the shape control plane contains the origin point becomes larger. In this way, for the width of the plate to be rolled, if the range of the unit width load of the shape control plane including the origin is clear, and the unit width load of the final route is included in the aforementioned range, the path is set. By scheduling, a good rolled shape can be obtained.

如此之路徑排程的設定係能夠使用在前述實施形態1所說明過的上位電腦5來進行。以下,使用圖8說明路徑排程之設定處理流程的一例。圖8係顯示本發明實施形態中路徑排程的設定處理流程一例的流程圖。The setting of such a route schedule can be performed using the host computer 5 described in the first embodiment. Hereinafter, an example of a processing flow for setting a route schedule will be described using FIG. 8. FIG. 8 is a flowchart showing an example of a processing flow for setting a route schedule in the embodiment of the present invention.

如圖8所示,首先,輸入部5b係接收來自使用者之錐體形狀及板寬的輸入(S21:第一步驟)。此錐體形狀較佳為使第一條件及第二條件的任一者含有二次元座標平面的原點之錐體形狀。藉此,容易獲得使形狀控制平面包含原點之單位寬度荷重的範圍,或者,藉此擴大該範圍。As shown in FIG. 8, first, the input unit 5 b receives input from the user with a cone shape and a plate width (S21: first step). This cone shape is preferably a cone shape in which any one of the first condition and the second condition includes the origin of the quadratic coordinate plane. This makes it easy to obtain a range in which the unit width load of the shape control plane includes the origin, or to expand the range.

若從使用者進行輸入,則單位寬度荷重算出部23從儲存部30讀取軋製參數31及單位寬度荷重算出程式33,並使用上述輸入之板寬訊息,算出最終路徑的單位寬度荷重。使用者藉由變更輸入之軋製參數31,能夠在單位寬度荷重算出部23算出複數個單位寬度荷重。再者,使用者亦可不利用單位寬度荷重算出部23,而依據經驗來將被認為係較佳的複數個單位寬度荷重輸入至上位電腦5。也就是說,單位寬度荷重算出部23將所算出之單位寬度荷重,或者將使用者所輸入之單位寬度荷重輸入至形狀控制平面決定部21(第二步驟)。When input is made by the user, the unit width load calculation unit 23 reads the rolling parameters 31 and the unit width load calculation program 33 from the storage unit 30, and calculates the unit width load of the final path using the input board width information. The user can calculate a plurality of unit width loads in the unit width load calculation unit 23 by changing the input rolling parameters 31. In addition, the user may input a plurality of unit width loads considered to be better to the host computer 5 based on experience without using the unit width load calculation unit 23. That is, the unit width load calculation unit 23 inputs the calculated unit width load or the unit width load input by the user to the shape control plane determination unit 21 (second step).

接著,形狀控制平面決定部21係使用上述單位寬度荷重及其他參數,算出用於形狀控制平面的作成之4點座標。顯示控制部22係使用此4點座標,生成顯示形狀控制平面的圖像,並將該圖像顯示於顯示部5a(第三步驟)。使用者一邊判斷此經顯示之形狀控制平面是否包含二次元座標的原點,一邊改變輸入至輸入部的單位寬度荷重或軋製參數31的值。藉此,能夠選定使形狀控制平面包含原點之單位寬度荷重的範圍(S22)(選定步驟)。Next, the shape control plane determination unit 21 uses the above-mentioned unit width load and other parameters to calculate a four-point coordinate for creating the shape control plane. The display control unit 22 uses this 4-point coordinate to generate an image that displays the shape control plane, and displays the image on the display unit 5a (third step). The user changes the value of the unit width load or the rolling parameter 31 input to the input unit while determining whether the displayed shape control plane includes the origin of the two-dimensional coordinate. Thereby, it is possible to select a range in which the unit width load including the origin is included in the shape control plane (S22) (selection step).

在此步驟S22中,求得使形狀控制平面包含原點之單位寬度荷重的上限值及下限值。亦可使用下述方法中的任一種方法:在輸入可賦予之單位寬度荷重的最大值並解析之後,使輸入的單位寬度荷重變小之方法;在輸入零附近之單位寬度荷重並解析之後,使輸入的單位寬度荷重變大之方法。In this step S22, the upper limit value and the lower limit value of the unit width load including the origin of the shape control plane are obtained. You can also use any of the following methods: after inputting the maximum unit width load that can be given and analyzing it, reducing the input unit width load; after entering and analyzing the unit width load near zero, How to increase the input unit width load.

之後,最終路徑的單位寬度荷重係以被包含在上述選定之範圍內的方式,再設定路徑排程(S23)(設定步驟)。具體而言,藉由變更含於串聯軋製機50之最終路徑以外的軋製機的軋製荷重,變更進入最終路徑的軋製機之軋製材8的厚度,結果,使最終路徑之軋製機中的單位寬度荷重被包含在前述範圍內。此種路徑排程的再設定係可為使用者的手動進行,亦可使用任意的程式來進行。After that, the unit width load of the final path is included in the selected range, and then the path schedule is set (S23) (setting step). Specifically, by changing the rolling load of rolling mills other than the final path of the tandem rolling mill 50, the thickness of the rolling material 8 of the rolling mill entering the final path is changed, and as a result, the final path is rolled. The unit width load in the machine is included in the aforementioned range. The resetting of such a route schedule can be performed manually by a user or by using any program.

如以上般,本實施形態中路徑排程的設定方法,係設定作為實行複數路徑之多級冷軋機的串聯軋製機50的路徑排程之方法。實行最終路徑之冷軋機的六級軋製機1,係作為控制軋製對象之軋製材軋製形狀的形狀控制機構,並具備(i)中間輥移動機構2,其係使在一側端部含有錐體形狀之中間輥10朝向其軸方向移動;及(ii)中間輥彎曲機構3。As described above, the method of setting the route schedule in this embodiment is a method of setting the route schedule of the tandem rolling mill 50 as a multi-stage cold rolling mill that executes a plurality of routes. The six-stage rolling mill 1 of the cold rolling mill that executes the final path is a shape control mechanism that controls the rolling shape of the rolling material to be rolled, and is provided with (i) an intermediate roll moving mechanism 2 that is provided at one end The intermediate roller 10 having a cone shape is moved toward the axial direction; and (ii) the intermediate roller bending mechanism 3.

此處,將軋製材寬度方向的端部之延伸率與寬度方向中央之延伸率兩者的差值作為x座標,且將較前述端部更靠近前述中央的中間部之延伸率與前述中央之延伸率兩者的差值作為y座標,以形成二次元座標平面,並在前述二次元座標平面中,藉由使中間輥移動機構2及中間輥彎曲機構3作動,以將顯示有前述軋製材的形狀可控制範圍之區域作為形狀控制區域。Here, the difference between the elongation of the end of the rolled material in the width direction and the elongation of the center in the width direction is taken as the x-coordinate, and the elongation of the middle portion closer to the center than the end portion and the center The difference between the two elongations is used as the y-coordinate to form a two-dimensional coordinate plane, and in the aforementioned two-dimensional coordinate plane, the intermediate roll moving mechanism 2 and the intermediate roll bending mechanism 3 are operated to display the aforementioned rolled material. The area of the shape controllable range is used as the shape control area.

本實施形態中的最終路徑決定方法係包含:(i)第一步驟,輸入顯示有用於決定前述形狀控制區域之軋製條件的數值,及輸入顯示有前述錐體形狀之數值;(ii)第二步驟,輸入實行前述最終路徑之六級軋製機1的單位寬度荷重;(iii)第三步驟,使用在前述第一及第二步驟所輸入之數值,來決定前述形狀控制區域。The final path determination method in this embodiment includes: (i) a first step of inputting and displaying a numerical value for determining a rolling condition for determining the shape control region, and inputting and displaying a value of the aforementioned cone shape; (ii) the first step In the second step, the unit width load of the six-stage rolling mill 1 that executes the final path is input; (iii) in the third step, the shape control region is determined using the values entered in the first and second steps.

以使在前述第三步驟所決定之各形狀控制區域包含前述二次元座標平面的方式,一邊改變前述第二步驟中所輸入之單位寬度荷重,並藉由一邊重複前述第二步驟及第三步驟,以使前述形狀控制區域包含前述二次元座標平面之原點的方式,來求得前述單位寬度荷重的上限值與下限值。The unit width load input in the second step is changed so that each shape control region determined in the third step includes the two-dimensional coordinate plane, and the second and third steps are repeated The upper limit value and the lower limit value of the unit width load are obtained so that the shape control region includes the origin of the two-dimensional coordinate plane.

接著,本實施形態中路徑排程的設定方法還包含:設定步驟,其係以使六級軋製機1的單位寬度荷重被包含在由前述上限值與前述下限值所定之範圍內的方式,來設定串聯軋製機50的至少一個軋製條件。Next, the method for setting the route schedule in this embodiment further includes a setting step so that the unit width load of the six-stage rolling mill 1 is included in the range defined by the upper limit value and the lower limit value. System to set at least one rolling condition of the tandem rolling mill 50.

根據上述構成,即使將錐體形狀變更成各種值,且即使在第一條件及第二條件的形狀控制平面兩者皆無法獲得包含二次元座標平面原點之錐體形狀的值時,能夠以獲得作為軋製對象之複數種類軋製材的良好軋製形狀的方式,來修正路徑排程的設定。According to the above configuration, even if the shape of the cone is changed to various values, and even if the shape control plane of the first condition and the second condition cannot obtain the value of the cone shape including the origin of the quadratic coordinate plane, A method of obtaining a good rolling shape of a plurality of types of rolled materials as rolling targets, and correcting the setting of the route schedule.

再者,在本實施形態中,雖然針對串聯軋製機50進行說明,但本發明一態樣的路徑排程設定方法,亦適用反向(reverse)軋製機,其係藉由一個多級軋製機使軋製材往返,來進行軋製。Furthermore, in this embodiment, although the tandem rolling mill 50 is described, the route scheduling method of one aspect of the present invention is also applicable to a reverse rolling mill, which uses a multi-stage rolling mill. The rolling machine rolls the rolled material back and forth to perform rolling.

(實施例) 在與圖7的探討中所使用之軋製機相同的六級軋製機中,使用中間輥10並將對象板寬範圍設為850mm~1050mm,並在形狀控制完成品的板厚使其成為0.8mm~2.0mm鋼帶之情況下,說明適用本發明一態樣之路徑排程設定方法的例子。(Example) In the same six-stage rolling mill as the rolling mill used in the examination of FIG. 7, the intermediate roll 10 was used, the target plate width range was set to 850 mm to 1050 mm, and the shape of the finished product was controlled. In the case where the thickness is 0.8 mm to 2.0 mm, a description will be given of an example to which the route scheduling method of one aspect of the present invention is applied.

再者,使形狀控制平面中的板端部位於離板端50mm的位置,以及使四分之一部位於從板端中央至板端部為止之70%距離的位置。在以下條件中(在作為中間輥10對象之板寬範圍中的最大板寬1050mm下,使最終路徑的單位寬度荷重成為最小值3.46kN/mm的條件;以及在作為中間輥10對象之板寬範圍中的最小板寬850mm下,使最終路徑的單位寬度荷重成為最大值4.84kN/mm的條件),以使形狀控制平面包含原點的方式,藉由形狀預測的數值解析,來探討錐體條件的最佳化。然而,並未獲得滿足兩條件的錐體條件。因此,僅有在最大板寬下使最終路徑的單位寬度荷重成為最小值之條件下,為了使形狀控制平面包含原點,將錐體條件設定為錐體長度330mm,錐體角度為35/10000。如圖9的(a)所示,在錐體長度為330mm,錐體角度為35/10000的條件下,僅有在最大板寬下使最終路徑的單位寬度荷重成為最小值之第一條件下,能使形狀控制平面包含原點。接著,求得每個作為中間輥10對象的板寬使形狀控制平面含有原點之單位寬度荷重的範圍。顯示有此結果之圖即前述圖7。Further, the plate end portion in the shape control plane was positioned 50 mm from the plate end, and the quarter portion was positioned at a distance of 70% from the center of the plate end to the plate end portion. Under the following conditions (at a maximum plate width of 1050 mm in the plate width range that is the target of the intermediate roll 10, the unit width load of the final path is a minimum value of 3.46 kN / mm; and in the plate width that is the target of the intermediate roll 10, Under the condition that the minimum plate width in the range is 850mm, the unit width load of the final path is a maximum of 4.84kN / mm), and the shape control plane includes the origin, and the cone is explored by numerical analysis of shape prediction Optimization of conditions. However, a cone condition that satisfies both conditions is not obtained. Therefore, only under the condition that the unit width load of the final path is the minimum under the maximum plate width, in order to include the origin in the shape control plane, the cone condition is set to a cone length of 330 mm and a cone angle of 35/10000. . As shown in Fig. 9 (a), under the condition that the cone length is 330mm and the cone angle is 35/10000, only the first condition that the unit width load of the final path becomes the minimum under the maximum plate width , Can make the shape control plane contain the origin. Next, a range of a unit width load in which the shape control plane includes the origin for each plate width that is an object of the intermediate roller 10 is determined. The graph showing this result is the aforementioned FIG. 7.

接著,為了使最終路徑的單位寬度荷重被包含在前述範圍內,修正路徑排程的設定。具體而言,藉由變更串聯軋製機50所含有之最終路徑以外之軋製機的軋製荷重,來將最終路徑之軋製機中的單位寬度荷重被包含在前述範圍內。Next, the setting of the route schedule is corrected so that the unit width load of the final route is included in the aforementioned range. Specifically, by changing the rolling load of rolling mills other than the final path included in the tandem rolling mill 50, the unit width load in the rolling mill of the final path is included in the aforementioned range.

將適用具有前述錐體形狀之中間輥10來進行軋製時之最終路徑的形狀測定結果,與未修正路徑排程的設定之經過軋製的情況相比,則如圖9的(b)所示。藉由形狀檢測器資料,各自算出相對於板端部及四分之一部中央的延伸率差值εe、εq。雖然在未修正路徑排程的設定之經過軋製的情況下,其εe、εq偏離目標值,但在經過修正路徑排程的設定之情況下,其εe、εq皆在目標值以內。Comparing the shape measurement result of the final path when the intermediate roll 10 having the aforementioned cone shape is used for rolling, as compared with the case where the uncorrected path schedule is set after rolling, as shown in FIG. 9 (b). Show. From the shape detector data, the elongation differences εe and εq with respect to the plate end portion and the center of the quarter portion were calculated. Although εe and εq deviate from the target values when rolling is performed without setting the modified route schedule, both εe and εq are within the target value when the modified route schedule is set.

[總結] 本發明一態樣的錐體形狀決定方法,係具備控制作為軋製對象之軋製材8的軋製形狀之複數種類的形狀控制機構,而作為前述形狀控制機構一例的冷軋機(六級軋製機1),係具備有使在一側端部含有錐體形狀之中間輥10朝向該中間輥10的軸方向移動之中間輥移動機構2,且前述錐體形狀決定方法係決定冷軋機所具有之前述中間輥10之前述錐體形狀的方法,其係包含:輸入步驟,將前述軋製材8寬度方向的端部之延伸率與寬度方向中央之延伸率兩者的差值作為x座標,且將較前述端部更靠近前述中央的中間部(四分之一部)之延伸率與前述中央之延伸率兩者的差值作為y座標,以形成二次元座標平面,並在前述二次元座標平面中,藉由使複數種類的前述形狀控制機構作動,來輸入用於決定顯示前述軋製材的形狀可控制範圍的形狀控制區域(形狀控制平面)之前述錐體形狀以外的條件;決定步驟,於將具有預先設定之前述中間輥10寬度範圍中最大寬度的軋製材8作為形狀控制對象時,使前述軋製材8的單位寬度荷重成為最小來作為第一條件,以及於將具有前述寬度範圍中最小寬度的軋製材作為形狀控制對象時,使前述單位寬度荷重成為最大來作為第二條件,且在第一條件與第二條件下,以使前述形狀控制區域(形狀控制平面)包含前述二次元座標平面之原點的方式,來決定前述錐體形狀。[Summary] A cone shape determination method according to one aspect of the present invention includes a shape control mechanism that controls a plurality of types of rolled shapes of the rolling material 8 as a rolling target, and is a cold rolling mill (as an example of the shape control mechanism) Six-stage rolling mill 1) is provided with an intermediate roll moving mechanism 2 for moving the intermediate roll 10 having a cone shape at one end portion toward the axial direction of the intermediate roll 10, and the method for determining the cone shape is determined The method for forming the cone shape of the intermediate roll 10 in the cold rolling mill includes an input step of calculating a difference between the elongation of the widthwise end of the rolled material 8 and the elongation of the widthwise center. As the x-coordinate, and the difference between the elongation of the middle part (quarter part) closer to the center than the aforementioned end and the elongation of the center as the y-coordinate to form a two-dimensional coordinate plane, and In the two-dimensional coordinate plane, a plurality of types of the shape control mechanisms are operated to input a shape control region (shape control plane) for determining a range in which the shape of the rolled material can be controlled. ) Conditions other than the aforementioned cone shape; a determining step of minimizing a unit width load of the rolled material 8 when the rolled material 8 having a maximum width in the width range of the intermediate roll 10 set in advance is used as a shape control object As a first condition, and when a rolled material having the smallest width in the aforementioned width range is used as a shape control object, the aforementioned unit width load is maximized as the second condition, and under the first condition and the second condition, the The shape control region (shape control plane) includes the origin of the two-dimensional coordinate plane to determine the shape of the cone.

根據上述構成,能夠決定可獲得作為軋製對象的複數種類軋製材之良好軋製形狀的中間輥錐體形狀。According to the above configuration, it is possible to determine the shape of the intermediate roll cone that can obtain a good rolling shape of a plurality of types of rolled materials to be rolled.

又,本發明一態樣的路徑排程設定方法,係實行複數路徑之多級冷軋機(串聯軋製機50)的路徑排程設定方法,其係包含:實行最終路徑的冷軋機(六級軋製機1),其係具備控制作為軋製對象之軋製材8的軋製形狀之複數種類的形狀控制機構,而作為前述形狀控制機構的一例,係具備有使在一側端部含有錐體形狀之中間輥10朝向該中間輥10的軸方向移動之中間輥移動機構2;選定步驟,將關於具有前述最終路徑之冷軋機(六級軋製機1)中軋製材8寬度方向的端部之延伸率與寬度方向中央之延伸率兩者的差值作為x座標,且將較前述端部更靠近前述中央的中間部(四分之一部)之延伸率與前述中央之延伸率兩者的差值作為y座標,以形成二次元座標平面,並在前述二次元座標平面中,藉由使複數種類的前述形狀控制機構作動,以使顯示有前述軋製材8的形狀可控制範圍之形狀控制區域(形狀控制平面)包含原點的方式,來選定單位寬度荷重的範圍;設定步驟,以使具有前述最終路徑之冷軋機(六級軋製機1)中的單位寬度荷重被包含在前述選定步驟所選定之單位寬度荷重的範圍內的方式,來設定前述多級冷軋機中至少一個的軋製條件。In addition, the route schedule setting method according to one aspect of the present invention is a route schedule setting method of a multi-stage cold rolling mill (tandem rolling mill 50) that implements multiple routes, and includes a cold rolling mill that executes a final route ( A six-stage rolling mill 1) is provided with a shape control mechanism that controls a plurality of types of rolling shapes of the rolling material 8 as a rolling target, and as an example of the shape control mechanism, it is provided with an end portion on one side The intermediate roll moving mechanism 2 that moves the intermediate roll 10 including the cone shape toward the axial direction of the intermediate roll 10; the selection step involves the width of the rolled material 8 in the cold rolling mill (six-stage rolling mill 1) having the aforementioned final path. The difference between the elongation at the end in the direction and the elongation at the center in the width direction is taken as the x-coordinate, and the elongation at the middle portion (quarter portion) closer to the center than the end portion is equal to the elongation at the center. The difference between the two elongations is used as the y-coordinate to form a two-dimensional coordinate plane, and a plurality of types of the aforementioned shape control mechanisms are operated in the two-dimensional coordinate plane so that the shape of the rolled material 8 is displayed. The shape control area (shape control plane) of the control range includes the origin to select the range of unit width load; the setting step is to make the unit width in the cold rolling mill (six-stage rolling mill 1) with the aforementioned final path The rolling conditions of at least one of the multi-stage cold rolling mills are set such that the load is included in the range of the unit width load selected in the selection step.

根據上述的路徑排程設定方法,即使將錐體形狀變更成各種值,亦無法獲得使前述第一條件及第二條件兩者的形狀控制平面皆包含二次元座標原點之錐體形狀的值時,以能夠獲得作為軋製對象之複數種類的軋製材之良好軋製形狀的方式,來設定路徑排程。According to the above-mentioned path scheduling setting method, even if the shape of the cone is changed to various values, the value of the shape of the cone that makes the shape control plane of both the first condition and the second condition include the origin of the two-dimensional coordinate cannot be obtained. In this case, the route schedule is set so that a good rolling shape of a plurality of types of rolled materials to be rolled can be obtained.

因此,能夠決定獲得複數種類的軋製材之良好軋製形狀的軋製條件。Therefore, it is possible to determine rolling conditions for obtaining a good rolling shape of a plurality of types of rolled materials.

1‧‧‧六級軋製機
2‧‧‧中間輥移動機構(形狀控制機構)
3‧‧‧中間輥彎曲機構(形狀控制機構)
4‧‧‧差分荷重產生裝置
5‧‧‧上位電腦
5a‧‧‧顯示部
5b‧‧‧輸入部
6‧‧‧程序電腦
7‧‧‧形狀檢測器
8‧‧‧軋製材
9‧‧‧工作輥
10‧‧‧中間輥
11‧‧‧支撐輥
20‧‧‧控制部
21‧‧‧形狀控制平面決定部
22‧‧‧顯示控制部
23‧‧‧單位寬度荷重算出部
30‧‧‧儲存部
31‧‧‧軋製參數
32‧‧‧形狀控制平面決定程式
33‧‧‧單位寬度荷重算出程式
40‧‧‧輸出部
50‧‧‧串聯軋製機(多級冷軋機)
S11~S17、S21~S23‧‧‧步驟
1‧‧‧ six-level rolling mill
2‧‧‧ intermediate roller moving mechanism (shape control mechanism)
3‧‧‧Intermediate roller bending mechanism (shape control mechanism)
4‧‧‧ Differential load generating device
5‧‧‧ PC
5a‧‧‧Display
5b‧‧‧Input Department
6‧‧‧ Program Computer
7‧‧‧ Shape Detector
8‧‧‧ rolled material
9‧‧‧Working roller
10‧‧‧ Intermediate roller
11‧‧‧ support roller
20‧‧‧Control Department
21‧‧‧ Shape control plane decision unit
22‧‧‧Display Control Department
23‧‧‧Unit width load calculation unit
30‧‧‧Storage Department
31‧‧‧Rolling parameters
32‧‧‧ Shape control plane decision program
33‧‧‧Unit width load calculation program
40‧‧‧Output Department
50‧‧‧ Tandem rolling mill (multi-stage cold rolling mill)
S11 ~ S17, S21 ~ S23‧‧‧step

[圖1]係顯示本發明實施形態1錐體形狀決定方法之適用對象一例之六級軋製機構成的概略圖。 [圖2](a)係顯示軋製材板寬對於形狀控制平面之影響的圖,(b)係顯示單位寬度荷重對於形狀控制平面之影響的圖。 [圖3]係顯示六級軋製機所含有上位電腦之概略構成的方塊圖。 [圖4]係顯示前述上位電腦所實行之錐體形狀決定處理流程之一例的流程圖。 [圖5](a)係顯示本發明實施形態1實施例中下述兩種條件時的形狀控制平面之圖:作為具有經設定後錐體形狀之中間輥對象的板寬範圍中,在最大板寬下,使最終路徑的單位寬度荷重變得最小之條件;以及在最小板寬下,使最終路徑的單位寬度荷重變得最大之條件。(b)係繪製經軋製之鋼帶的軋製形狀之圖。 [圖6]係顯示作為本發明實施形態2中路徑排程之設定方法的適用對象一例之串聯軋製機的構成之概略圖。 [圖7]係顯示每個作為中間輥對象的板寬,使形狀控制平面含有原點之單位寬度荷重的範圍之圖。 [圖8]係顯示前述本發明實施形態2中六級軋製機所含有之上位電腦實行時,路徑排程的設定處理流程之一例之概略圖。 [圖9](a)係顯示本發明實施形態2實施例中下述兩種條件時的形狀控制平面之圖:作為具有經設定後錐體形狀之中間輥對象的板寬範圍中,在最大板寬下,使最終路徑的單位寬度荷重變得最小之條件;以及在最小板寬下,使最終路徑的單位寬度荷重變得最大之條件。(b)係繪製經軋製之鋼帶的軋製形狀之圖。[FIG. 1] It is a schematic diagram which shows the structure of a six-stage rolling mill which is an example of the application object of the cone shape determination method in Embodiment 1 of this invention. [Fig. 2] (a) is a diagram showing the influence of the width of the rolled material on the shape control plane, and (b) is a diagram showing the influence of the unit width load on the shape control plane. [Fig. 3] A block diagram showing a schematic configuration of a host computer included in the six-stage rolling mill. [Fig. 4] It is a flowchart showing an example of a cone shape determination processing flow executed by the aforementioned host computer. [Fig. 5] (a) is a diagram showing a shape control plane under the following two conditions in the embodiment of the first embodiment of the present invention: in the range of the plate width as the object of the intermediate roller having the set cone shape, the largest The conditions under which the unit width load of the final path is minimized under the board width; and the conditions under which the unit width load of the final path is maximized under the minimum board width. (B) Drawing of rolled shape of rolled steel strip. [FIG. 6] A schematic diagram showing a configuration of a tandem rolling mill as an example of an application object of a method for setting a route schedule in Embodiment 2 of the present invention. [Fig. 7] It is a diagram showing a range of a unit width load for each plate width as an object of the intermediate roller, so that the shape control plane includes the origin. [Fig. 8] It is a schematic diagram showing an example of a process flow for setting a route schedule when a high-level computer included in the six-stage rolling mill according to the second embodiment of the present invention is executed. [Fig. 9] (a) is a diagram showing a shape control plane under the following two conditions in the second embodiment of the present invention: in the range of the plate width as the object of the intermediate roll having the set cone shape, the largest The conditions under which the unit width load of the final path is minimized under the board width; and the conditions under which the unit width load of the final path is maximized under the minimum board width. (B) Drawing of rolled shape of rolled steel strip.

S11~S17‧‧‧步驟 S11 ~ S17‧‧‧step

Claims (2)

一種錐體形狀決定方法,其係具備控制作為軋製對象之軋製材軋製形狀之複數種類的形狀控制機構,而作為前述形狀控制機構一例的冷軋機,係具備有使在一側端部含有錐體形狀之中間輥朝向該中間輥的軸方向移動之中間輥移動機構,且前述錐體形狀決定方法係決定冷軋機所具有之前述中間輥之前述錐體形狀的方法,其係包含: 輸入步驟,將前述軋製材寬度方向的端部之延伸率與寬度方向中央之延伸率兩者的差值作為x座標,且將較前述端部更靠近前述中央的中間部之延伸率與前述中央之延伸率兩者的差值作為y座標,以形成二次元座標平面,並在前述二次元座標平面中,藉由使複數種類的前述形狀控制機構作動,來輸入用於決定顯示前述軋製材的形狀可控制範圍的形狀控制區域之前述錐體形狀以外的條件; 決定步驟,於將具有預先設定之前述中間輥寬度範圍中最大寬度的軋製材作為形狀控制對象時,使前述軋製材的單位寬度荷重成為最小來作為第一條件,以及於將具有前述寬度範圍中最小寬度的軋製材作為形狀控制對象時,使前述單位寬度荷重成為最大來作為第二條件,且在第一條件與第二條件下,以使前述形狀控制區域包含前述二次元座標平面之原點的方式,來決定前述錐體形狀。A method for determining a cone shape is provided with a shape control mechanism that controls a plurality of types of rolling shapes of rolling materials to be rolled, and a cold rolling mill as an example of the shape control mechanism includes an end portion on one side The intermediate roll moving mechanism that moves the intermediate roll including the cone shape toward the axial direction of the intermediate roll, and the method for determining the cone shape is a method for determining the cone shape of the intermediate roll included in the cold rolling mill. : In the input step, the difference between the elongation of the end of the rolled material in the width direction and the elongation of the center in the width direction is taken as the x-coordinate, and the elongation of the middle portion closer to the center than the end is compared with the foregoing. The difference between the elongation at the center is used as the y-coordinate to form a two-dimensional coordinate plane. In the two-dimensional coordinate plane, a plurality of types of the shape control mechanisms are operated to input and determine the display of the rolled material. The condition of the shape control range of the shape control region of the condition other than the aforementioned cone shape; When the rolled material having the largest width in the roll width range is used as the shape control object, the unit width load of the rolled material is minimized as the first condition, and when the rolled material having the smallest width in the width range is used as the shape control object, As the second condition, the unit width load is maximized, and under the first condition and the second condition, the shape of the cone is determined so that the shape control region includes the origin of the two-dimensional coordinate plane. 一種設定方法,其係實行複數路徑之多級冷軋機的路徑排程設定方法,其係包含: 實行最終路徑的冷軋機,其係具備控制作為軋製對象之軋製材軋製形狀之複數種類的形狀控制機構,而作為前述形狀控制機構的一例,係具備有使在一側端部含有錐體形狀之中間輥朝向該中間輥的軸方向移動之中間輥移動機構; 選定步驟,將關於具有前述最終路徑之冷軋機中軋製材寬度方向的端部之延伸率與寬度方向中央之延伸率兩者的差值作為x座標,且將較前述端部更靠近前述中央的中間部之延伸率與前述中央之延伸率兩者的差值作為y座標,以形成二次元座標平面,並在前述二次元座標平面中,藉由使複數種類的前述形狀控制機構作動,以使顯示有前述軋製材的形狀可控制範圍之形狀控制區域包含原點的方式,來選定單位寬度荷重的範圍; 設定步驟,以使具有前述最終路徑之冷軋機中的單位寬度荷重被包含在前述選定步驟所選定之單位寬度荷重的範圍內的方式,來設定前述多級冷軋機中至少一個的軋製條件。A setting method, which is a method for setting a path schedule of a multi-stage cold rolling mill that implements multiple paths, and includes: a cold rolling mill that implements a final path, which is provided with a plurality of controls for controlling the rolling shape of a rolling material as a rolling target Type of shape control mechanism, and as an example of the shape control mechanism described above, it is provided with an intermediate roller moving mechanism that moves an intermediate roller having a cone shape at one end portion toward the axial direction of the intermediate roller; In the cold rolling mill having the aforementioned final path, the difference between the elongation of the widthwise end of the rolled material and the elongation of the widthwise center is taken as the x-coordinate, and the extension of the middle portion closer to the center than the end portion is extended. The difference between the elongation and the central elongation is used as the y-coordinate to form a two-dimensional coordinate plane, and in the two-dimensional coordinate plane, a plurality of types of the aforementioned shape control mechanisms are operated so that the aforementioned rolling is displayed. The shape control area of the shape of the material can be controlled to include the origin to select the range of unit width load; the setting step is to have Load per unit width of said cold rolling mill in the final path of the embodiment is contained within the width of the selected load range of the selected unit step to set the multi-stage cold rolling mills at least one of the rolling conditions.
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