CN111829477A - Calculation method, device, storage medium and equipment for wheel hub bearing negative clearance - Google Patents
Calculation method, device, storage medium and equipment for wheel hub bearing negative clearance Download PDFInfo
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Abstract
本发明提供一种轮毂轴承负游隙的计算方法、装置、存储介质及设备,包括以下步骤:获取待测的所述轮毂轴承的内法兰在被施加外力F时、所述待测的轮毂轴承的内圈的位移参数;获取初始游隙为零的所述轮毂轴承的内法兰在被施加所述外力F时、所述初始游隙为零的轮毂轴承的内圈的位移参数;根据F、Ac1、以及Ac02,计算得出所述待测轮毂轴承的负游隙值δ。本发明根据施加的外力、待测的轮毂轴承的内圈的位移、以及初始游隙为零的轮毂轴承的内圈位移之间的关系计算出负游隙值,可在待测的轮毂轴承出厂前进行负游隙值的检测,检测结果可再现、准确度高。The present invention provides a method, device, storage medium and device for calculating the negative clearance of a wheel hub bearing, comprising the following steps: obtaining the inner flange of the wheel hub bearing to be tested when an external force F is applied, the wheel hub to be tested Displacement parameters of the inner ring of the bearing; obtain the displacement parameters of the inner ring of the hub bearing with zero initial clearance when the external force F is applied to the inner flange of the hub bearing with zero initial clearance; according to F, A c1 , and A c02 , calculate the negative clearance value δ of the wheel hub bearing to be tested. The invention calculates the negative clearance value according to the relationship between the applied external force, the displacement of the inner ring of the hub bearing to be tested, and the displacement of the inner ring of the hub bearing with zero initial clearance, which can be used in the factory of the hub bearing to be tested. The detection of the negative clearance value is carried out before the detection, and the detection results are reproducible and high in accuracy.
Description
技术领域technical field
本发明涉及轴承负游隙技术领域,特别涉及一种轮毂轴承负游隙的计算方法、装置、存储介质及设备。The invention relates to the technical field of bearing negative clearance, in particular to a calculation method, device, storage medium and equipment for wheel hub bearing negative clearance.
背景技术Background technique
负游隙参数是决定轮毂轴承单元性能的关键要素之一,其设计加工的合理性会直接影响轮毂轴承单元工作寿命以及整车的行驶安全,因此,有必要对轮毂轴承单元的成品进行负游隙检测,并以检测结果作为判断轮毂轴承合格与否的指标之一。现有对轮毂轴承单元成品进行负游隙检测不具备对同一产品的重复检测,不能实现检测的再现性,并且检测为铆前检测,不能反映轮毂轴承成品的负游隙实际情况。Negative clearance parameters are one of the key factors that determine the performance of the wheel hub bearing unit. The rationality of its design and processing will directly affect the working life of the wheel hub bearing unit and the driving safety of the vehicle. Therefore, it is necessary to carry out negative clearance on the finished product of the wheel hub bearing unit. Clearance detection, and use the detection result as one of the indicators for judging whether the hub bearing is qualified or not. The existing negative clearance detection of the finished wheel hub bearing unit does not have the repeated detection of the same product, and cannot achieve the reproducibility of the detection, and the detection is a pre-riveting detection, which cannot reflect the actual situation of the negative clearance of the finished wheel hub bearing.
发明内容SUMMARY OF THE INVENTION
本发明的主要目的是提出一种轮毂轴承负游隙的计算方法,旨在解决不能对轮毂轴承在进行实时在线且可重复的检测的技术问题。The main purpose of the present invention is to propose a method for calculating the negative clearance of a wheel hub bearing, which aims to solve the technical problem that real-time online and repeatable detection of the wheel hub bearing cannot be performed.
为实现上述目的,本发明提出一种轮毂轴承负游隙的计算方法,包括以下步骤:In order to achieve the above purpose, the present invention proposes a method for calculating the negative clearance of a wheel hub bearing, which includes the following steps:
获取待测的所述轮毂轴承的内法兰在被施加外力F时、所述待测的轮毂轴承的内圈的位移参数Ac1;Obtain the displacement parameter A c1 of the inner ring of the hub bearing to be tested when the inner flange of the hub bearing to be tested is applied with an external force F;
获取初始游隙为零的所述轮毂轴承的内法兰在被施加所述外力F时、所述初始游隙为零的轮毂轴承的内圈的位移参数Ac02;Obtain the displacement parameter A c02 of the inner ring of the hub bearing with zero initial clearance when the external force F is applied to the inner flange of the hub bearing with zero initial clearance;
根据F、Ac1、以及Ac02,计算得出所述待测轮毂轴承的负游隙值δ。According to F, A c1 , and A c02 , the negative clearance value δ of the hub bearing to be tested is calculated.
可选地,所述待测轮毂轴承的负游隙值δ为:Optionally, the negative clearance value δ of the hub bearing to be tested is:
式中,∑ρ为钢球接触的曲率函数,E为轴承材料泊松比和弹性模量的综合参数,α为钢球接触角,δ*为点接触椭圆积分参数,n为钢球数量。In the formula, ∑ρ is the curvature function of the steel ball contact, E is the comprehensive parameter of Poisson's ratio and elastic modulus of the bearing material, α is the steel ball contact angle, δ * is the point contact ellipse integral parameter, and n is the number of steel balls.
此外,为实现上述目的,本发明还提出一种轮毂轴承负游隙的控制装置,包括存储器、处理器、以及存储在所述存储器上并可在所述处理器上运行的轮毂轴承负游隙的计算方法的测量程序,所述轮毂轴承负游隙的计算方法的测量程序配置为实现如权利要求1至2中任一项所述的轮毂轴承负游隙的计算方法的步骤。In addition, in order to achieve the above object, the present invention also provides a control device for the negative clearance of a wheel hub bearing, which includes a memory, a processor, and a negative clearance of the wheel hub bearing stored in the memory and running on the processor. The measurement program of the calculation method of the wheel hub bearing negative clearance is configured to realize the steps of the calculation method of the wheel hub bearing negative clearance according to any one of claims 1 to 2.
此外,为实现上述目的,本发明还提出一种存储介质,所述存储介质上存储有轮毂轴承负游隙的计算方法的测量程序,所述存储介质上存储有轮毂轴承负游隙的计算方法的测量程序被处理器执行时实现如权利要求1至2中任一项所述的轮毂轴承负游隙的计算方法的步骤。In addition, in order to achieve the above object, the present invention also proposes a storage medium, the storage medium stores a measurement program of the calculation method of the negative clearance of the wheel hub bearing, and the storage medium stores the calculation method of the negative clearance of the wheel hub bearing The steps of implementing the method for calculating the negative clearance of a wheel hub bearing as claimed in any one of claims 1 to 2 when the measurement program of the is executed by the processor.
此外,为实现上述目的,本发明还提出一种轮毂轴承负游隙的检测设备,包括:In addition, in order to achieve the above purpose, the present invention also proposes a detection device for the negative clearance of the wheel hub bearing, including:
检测设备主体;Detection equipment main body;
加载装置,固定设于所述检测设备主体上,用以对所述待测的轮毂轴承的内法兰、以及所述初始游隙为零的轮毂轴承的内法兰施加外力;a loading device, fixed on the main body of the detection device, for applying external force to the inner flange of the hub bearing to be tested and the inner flange of the hub bearing with zero initial clearance;
测位装置,用以检测所述待测的轮毂轴承内圈的位移量、以及所述初始游隙为零的轮毂轴承内圈的位移量;以及,a positioning device for detecting the displacement of the inner ring of the hub bearing to be measured and the displacement of the inner ring of the hub bearing with zero initial clearance; and,
轮毂轴承负游隙的控制装置,固定设于所述检测设备主体上,与所述检测设备主体、所述加载装置、以及测位装置之间电连接,所述轮毂轴承负游隙的控制装置为如权利要求3所述的轮毂轴承负游隙的控制装置。The control device for the negative clearance of the wheel hub bearing is fixedly arranged on the main body of the detection equipment, and is electrically connected with the main body of the detection equipment, the loading device, and the positioning device. The control device for the negative clearance of the wheel hub bearing A control device for the negative clearance of a wheel hub bearing as claimed in claim 3 .
可选地,所述测位装置包括位移传感器,所述位移传感器用以检测所述待测的轮毂轴承的内圈的位移量、以及所述初始游隙为零的轮毂轴承的内圈的位移量。Optionally, the positioning device includes a displacement sensor, and the displacement sensor is used to detect the displacement of the inner ring of the hub bearing to be measured and the displacement of the inner ring of the hub bearing with zero initial clearance. quantity.
可选地,所述加载装置为电缸或液压缸。Optionally, the loading device is an electric cylinder or a hydraulic cylinder.
本发明的技术方案中,从赫兹接触理论出发,基于轮毂轴承产品的具体结构参数,根据施加的外力、待测的轮毂轴承的内圈的位移、以及初始游隙为零的轮毂轴承的内圈位移之间的关系计算出负游隙值,可在待测的轮毂轴承出厂前进行负游隙值的检测,检测结果可再现、准确度高。In the technical solution of the present invention, starting from the Hertzian contact theory, based on the specific structural parameters of the hub bearing product, according to the applied external force, the displacement of the inner ring of the hub bearing to be measured, and the inner ring of the hub bearing with zero initial clearance The relationship between the displacements can calculate the negative clearance value, and the negative clearance value can be detected before the hub bearing to be tested leaves the factory, and the detection results are reproducible and high in accuracy.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图示出的结构获得其他的附图。In order to explain the embodiments of the present invention or the technical solutions in the prior art more clearly, the following briefly introduces the accompanying drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present invention, and for those of ordinary skill in the art, other drawings can also be obtained according to the structures shown in these drawings without creative efforts.
图1为本发明提供的待测的轮毂轴承一实施例的结构示意图;1 is a schematic structural diagram of an embodiment of a wheel hub bearing to be tested provided by the present invention;
图2为本发明提供的初始游隙为零的轮毂轴承一实施例的结构示意图;2 is a schematic structural diagram of an embodiment of a wheel hub bearing with zero initial clearance provided by the present invention;
图3为本发明提供的轮毂轴承负游隙的计算方法一实施例的流程示意图;3 is a schematic flowchart of an embodiment of a method for calculating the negative clearance of a wheel hub bearing provided by the present invention;
图4为本发明提供的轮毂轴承负游隙的检测设备一实施例的结构示意图;4 is a schematic structural diagram of an embodiment of a detection device for wheel hub bearing negative clearance provided by the present invention;
图5为图4中实施例方案涉及的硬件运行环境的控制装置的结构示意图。FIG. 5 is a schematic structural diagram of a control device of the hardware operating environment involved in the solution of the embodiment in FIG. 4 .
附图标号说明:Description of reference numbers:
本发明目的的实现、功能特点及优点将结合实施例,参照附图做进一步说明。The realization, functional characteristics and advantages of the present invention will be further described with reference to the accompanying drawings in conjunction with the embodiments.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明的一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有作出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
需要说明,若本发明实施例中有涉及方向性指示,则该方向性指示仅用于解释在某一特定姿态下各部件之间的相对位置关系、运动情况等,如果该特定姿态发生改变时,则该方向性指示也相应地随之改变。It should be noted that, if there is a directional indication involved in the embodiment of the present invention, the directional indication is only used to explain the relative positional relationship, motion, etc. between the components under a certain posture. If the specific posture changes , the directional indication changes accordingly.
另外,若本发明实施例中有涉及“第一”、“第二”等的描述,则该“第一”、“第二”等的描述仅用于描述目的,而不能理解为指示或暗示其相对重要性或者隐含指明所指示的技术特征的数量。由此,限定有“第一”、“第二”的特征可以明示或者隐含地包括至少一个该特征。另外,各个实施例之间的技术方案可以相互结合,但是必须是以本领域普通技术人员能够实现为基础,当技术方案的结合出现相互矛盾或无法实现时应当认为这种技术方案的结合不存在,也不在本发明要求的保护范围之内。In addition, if there are descriptions involving "first", "second", etc. in the embodiments of the present invention, the descriptions of "first", "second", etc. are only used for the purpose of description, and should not be construed as indicating or implying Its relative importance or implicitly indicates the number of technical features indicated. Thus, a feature delimited with "first", "second" may expressly or implicitly include at least one of that feature. In addition, the technical solutions between the various embodiments can be combined with each other, but must be based on the realization by those of ordinary skill in the art. When the combination of technical solutions is contradictory or cannot be realized, it should be considered that the combination of such technical solutions does not exist. , is not within the scope of protection required by the present invention.
负游隙参数是决定轮毂轴承单元性能的关键要素之一,其设计加工的合理性会直接影响轮毂轴承单元工作寿命以及整车的行驶安全,因此,有必要对轮毂轴承单元的成品进行负游隙检测,并以检测结果作为判断轮毂轴承合格与否的指标之一。现有对轮毂轴承单元成品进行负游隙检测不具备对同一产品的重复检测,不能实现检测的再现性,并且检测为铆前检测,不能反映轮毂轴承成品的负游隙实际情况。Negative clearance parameters are one of the key factors that determine the performance of the wheel hub bearing unit. The rationality of its design and processing will directly affect the working life of the wheel hub bearing unit and the driving safety of the vehicle. Therefore, it is necessary to carry out negative clearance on the finished product of the wheel hub bearing unit. Clearance detection, and use the detection result as one of the indicators for judging whether the hub bearing is qualified or not. The existing negative clearance detection of the finished wheel hub bearing unit does not have the repeated detection of the same product, and cannot achieve the reproducibility of the detection, and the detection is a pre-riveting detection, which cannot reflect the actual situation of the negative clearance of the finished wheel hub bearing.
鉴于此,本发明提供一种轮毂轴承负游隙的计算方法、装置、存储介质及设备,旨在改善现有技术中,不能对轮毂轴承在进行实时在线且可重复的检测的技术问题。In view of this, the present invention provides a calculation method, device, storage medium and equipment for the negative clearance of a wheel hub bearing, aiming at improving the technical problem of the inability to perform real-time online and repeatable detection of the wheel hub bearing in the prior art.
本发明提供一种轮毂轴承负游隙的检测设备,所述轮毂轴承负游隙的检测设备包括检测设备主体、加载装置、测位装置、以及轮毂轴承负游隙的控制装置。所述加载装置固定设于所述检测设备主体上,当所述加载装置对所述待测的轮毂轴承100的内法兰、以及所述初始游隙为零的轮毂轴承200的内法兰施加沿轮毂轴承轴向的外力时;作用在所述待测的轮毂轴承内圈101、以及所述初始游隙为零的轮毂轴承内圈201上的测位装置检测出所述待测的轮毂轴承内圈101的位移量、以及所述初始游隙为零的轮毂轴承内圈201的位移量。所述轮毂轴承负游隙的控制装置固定设于所述检测设备主体上,与所述检测设备主体、所述加载装置、以及测位装置之间电连接。在本发明中,通过加载装置施加的沿轮毂轴承轴向的外力值、待测的轮毂轴承的内圈101的位移量、以及初始游隙为零的轮毂轴承的内圈201位移量之间的关系计算出负游隙值,可在待测的轮毂轴承100出厂前进行负游隙值的检测,检测结果可再现、准确度高。The invention provides a detection device for the negative clearance of a wheel hub bearing, which includes a detection device main body, a loading device, a positioning device, and a control device for the negative clearance of the wheel hub bearing. The loading device is fixedly arranged on the main body of the testing equipment. When the loading device is applied to the inner flange of the wheel hub bearing 100 to be tested and the inner flange of the wheel hub bearing 200 with zero initial clearance When there is an external force along the axial direction of the hub bearing; the positioning device acting on the
进一步的,参见图1、图2,为了能够准确的测出待测的轮毂轴承内圈101的位移量、以及初始游隙为零的轮毂轴承内圈201位移量,所述测位装置包括位移传感器,所述位移传感器设在待测的轮毂轴承内圈101和初始游隙为零的轮毂轴承内圈201上,并与所述轮毂轴承负游隙的控制装置电连接,将测出来的待测的轮毂轴承内圈101的位移量和初始游隙为零的轮毂轴承内圈201位移量输入到所述轮毂轴承负游隙的控制装置中。测量实时并且测量结果准确、可靠。Further, referring to FIG. 1 and FIG. 2 , in order to accurately measure the displacement of the
需要说明的是,所述加载装置有多种实施方式,可以为电缸或者液压缸。在本实施例中采用的是电缸,采用电缸可以精密的控制推力,并且噪音低、节能、干净、高刚性、抗冲击力强、超长寿命、操作维护简单。It should be noted that the loading device has various implementations, which may be an electric cylinder or a hydraulic cylinder. In this embodiment, an electric cylinder is used, which can precisely control the thrust, and has low noise, energy saving, cleanliness, high rigidity, strong impact resistance, long service life, and simple operation and maintenance.
本发明提供一种轮毂轴承负游隙的控制装置,所述轮毂轴承负游隙的控制装置与所述检测设备主体、所述加载装置、以及测位装置之间电连接,用以测量待测的轮毂轴承100的负游隙值。The invention provides a control device for the negative clearance of a wheel hub bearing. The control device for the negative clearance of the wheel hub bearing is electrically connected with the main body of the detection equipment, the loading device, and the positioning device, so as to measure the to-be-measured The negative clearance value of the
所述轮毂轴承负游隙的控制装置可以包括:处理器1001,例如CPU,通信总线1002、用户接口1003,网络接口1004,存储器1005。其中,通信总线1002用于实现这些组件之间的连接通信。用户接口1003可以包括显示屏(Display)、输入单元比如键盘(Keyboard),可选用户接口1003还可以包括标准的有线接口、无线接口。网络接口1004可选的可以包括标准的有线接口、无线接口(如WI-FI接口)。存储器1005可以是高速RAM存储器,也可以是稳定的存储器(non-volatile memory),例如磁盘存储器。存储器1005可选的还可以是独立于前述处理器1001的存储装置。The control device for the negative clearance of the wheel hub bearing may include: a
本领域技术人员可以理解,图2中示出的轮毂轴承负游隙的控制装置的结构并不构成对轮毂轴承负游隙的控制装置的限定,可以包括比图示更多或更少的部件,或者组合某些部件,或者不同的部件布置。Those skilled in the art can understand that the structure of the control device for the negative clearance of the wheel hub bearing shown in FIG. 2 does not constitute a limitation on the control device for the negative clearance of the wheel hub bearing, and may include more or less components than those shown in the drawings. , or a combination of certain components, or a different arrangement of components.
如图5所示,作为一种计算机存储介质的存储器1005中可以包括操作系统、网络通信模块、用户接口模块以及轮毂轴承负游隙的计算方法的测量程序。As shown in FIG. 5 , the
在图4所示的轮毂轴承负游隙的控制装置中,通过所述处理器1001调用存储器1005中存储的轮毂轴承负游隙的计算方法的测量程序,并执行以下操作:In the control device for the negative clearance of the wheel hub bearing shown in FIG. 4, the
获取待测的所述轮毂轴承100的内法兰在被施加外力F时、所述待测的轮毂轴承的内圈101的位移参数Ac1;Obtain the displacement parameter A c1 of the
获取初始游隙为零的所述轮毂轴承200的内法兰在被施加所述外力F时、所述初始游隙为零的轮毂轴承的内圈201的位移参数Ac02;Obtain the displacement parameter A c02 of the
根据F、Ac1、以及Ac02,计算得出所述待测轮毂轴承100的负游隙值δ。According to F, A c1 , and A c02 , the negative clearance value δ of the hub bearing 100 to be tested is calculated.
进一步的,处理器1001调用存储器1005中存储的轮毂轴承负游隙的计算方法的测量程序,还执行以下操作:Further, the
所述待测轮毂轴承100的负游隙值δ为:The negative clearance value δ of the hub bearing 100 to be tested is:
式中,∑ρ为钢球接触的曲率函数,E为轴承材料泊松比和弹性模量的综合参数,α为钢球接触角,δ*为点接触椭圆积分参数,n为钢球数量。In the formula, ∑ρ is the curvature function of the steel ball contact, E is the comprehensive parameter of Poisson's ratio and elastic modulus of the bearing material, α is the steel ball contact angle, δ * is the point contact ellipse integral parameter, and n is the number of steel balls.
基于上述硬件结构,本发明提出了一种轮毂轴承负游隙的计算方法,根据施加的外力值、待测的轮毂轴承的内圈101的位移参数、以及初始游隙为零的轮毂轴承的内圈201位移参数之间的关系计算出负游隙值。Based on the above hardware structure, the present invention proposes a method for calculating the negative clearance of a wheel hub bearing. The relationship between the displacement parameters of the
请参照图3,图3为本发明提供的轮毂轴承负游隙的计算方法一实施例的流程示意图。Please refer to FIG. 3 , which is a schematic flowchart of an embodiment of a method for calculating the negative clearance of a wheel hub bearing provided by the present invention.
S10:获取待测的所述轮毂轴承100的内法兰在被施加外力F时、所述待测的轮毂轴承的内圈101的位移参数Ac1;S10: Obtain the displacement parameter A c1 of the
S20:获取初始游隙为零的所述轮毂轴承200的内法兰在被施加所述外力F时、所述初始游隙为零的轮毂轴承的内圈201的位移参数Ac02;S20: Obtain the displacement parameter A c02 of the
S30:根据F、Ac1、以及Ac02,计算得出所述待测轮毂轴承100的负游隙值δ。S30: According to F, A c1 , and A c02 , calculate and obtain the negative clearance value δ of the hub bearing 100 to be tested.
在本实施例中,从赫兹接触理论出发,基于轮毂轴承产品的具体结构参数,通过施加的外力、待测的轮毂轴承的内圈101的位移、以及初始游隙为零的轮毂轴承的内圈201位移之间的关系计算出负游隙值,可在待测的轮毂轴承100出厂前进行负游隙值的检测,检测结果可再现、准确度高。In this embodiment, starting from the Hertzian contact theory, based on the specific structural parameters of the wheel bearing product, the applied external force, the displacement of the
在本实施例中,待测轮毂轴承100的负游隙值δ的计算过程如下:In this embodiment, the calculation process of the negative clearance value δ of the hub bearing 100 to be tested is as follows:
加载装置对待测轮毂轴承100加载外力,加载过程中内外套圈、法兰以及装配部位的变形为Ab1,测位装置测出的总位移为Ac1,轴承钢球接触处的赫兹变形量Am为:Ac1-Ab1。待测轮毂轴承负游隙为δ,在加载前上下列轴承变形均为δ/2,施加外力F以后,下列轴承受力F1,上列轴承受力F2。The loading device loads the external force on the hub bearing to be measured 100. During the loading process, the deformation of the inner and outer rings, flanges and assembly parts is Ab1, the total displacement measured by the positioning device is Ac1, and the Hertzian deformation Am at the contact point of the bearing steel ball is: Ac1-Ab1. The negative clearance of the hub bearing to be tested is δ, and the deformation of the upper and lower bearings before loading is δ/2. After the external force F is applied, the following bearings are subjected to force F1, and the upper row of bearings is subjected to force F2.
轴承上下两列钢球的轴向变形量分别为:The axial deformations of the upper and lower rows of steel balls of the bearing are:
Am=Am1+Am2Am=Am1+Am2
这里,∑ρ为钢球接触的曲率函数,E为轴承材料泊松比和弹性模量的综合参数,α为钢球接触角,δ*为点接触椭圆积分参数,n为钢球数量。这五者均由轴承结构参数确定,对于给定结构的轮毂轴承,这五者的值为常数。将式(1)和(2)进行变形得:Here, ∑ρ is the curvature function of the steel ball contact, E is the comprehensive parameter of Poisson's ratio and elastic modulus of the bearing material, α is the steel ball contact angle, δ * is the point contact ellipse integral parameter, and n is the number of steel balls. These five are determined by the bearing structure parameters, and for a given structure of the hub bearing, the values of these five are constant. Transform equations (1) and (2) into:
在上列钢球没有被完全顶松时,下列钢球被压紧多少,上列钢球就会放松多少。因此在这里有:When the steel balls in the upper row are not completely loosened, how much the following steel balls are compressed will loosen the steel balls in the upper row. So here is:
Am1=Am2 (5)A m1 = A m2 (5)
将公式(3)和(4)相除得:Dividing equations (3) and (4) gives:
当轴承在下方受到载荷F时,有如下力平衡关系:When the bearing is under load F, there is the following force balance relationship:
联立公式(6)和(7),可得:Combining formulas (6) and (7), we can get:
将公式(8)带入公式(4),并整理,可得公式(9):Bringing formula (8) into formula (4) and sorting it out, formula (9) can be obtained:
这里,可以认为ρ内2=ρ外2,令其值为ρ,上式可化简为:Here, it can be considered that ρ inner 2 = ρ outer 2 , let its value be ρ, the above formula can be simplified as:
将公式(10)进一步变形,可得:By further transforming formula (10), we can get:
将公式(11)左边方括号里面的两项分别进行泰勒展开(展开到三阶),可得:The two items in the square brackets on the left side of formula (11) are respectively Taylor expanded (expanded to the third order), we can get:
由于轴承没有完全放松,所以Since the bearing is not fully relaxed, so
当时,对比公式(12)右边中括号内的两项:when , compare the two terms in the brackets on the right side of formula (12):
因此,可以将式(12)右边右边中括号内的三次项舍去,然后Therefore, the cubic term in the square brackets on the right side of Equation (12) can be rounded off, and then
整理后可得:After finishing, you can get:
将Am=Ac1-Ab1带入式(15),整理,可得:Bring Am=Ac1-Ab1 into formula (15) and arrange, we can get:
加载装置对初始游隙为零的轮毂轴承200加载外力,加载过程中内外套圈、法兰以及装配部位的变形为Ab02,测位装置测出的总位移为Ac02,轴承钢球接触处的赫兹变形量Am02为:Ac02-Ab02。同样对初始游隙为零的轮毂轴承加载F,其钢球变形为(初始游隙为零的轮毂轴承只有下列钢球):The loading device loads an external force on the hub bearing 200 with zero initial clearance. During the loading process, the deformation of the inner and outer rings, flanges and assembly parts is Ab02, the total displacement measured by the positioning device is Ac02, and the Hertz at the contact point of the bearing steel ball The deformation amount Am02 is: Ac02-Ab02. Similarly, load F on the hub bearing with zero initial clearance, and its steel balls are deformed as (the hub bearing with zero initial clearance has only the following steel balls):
与负游隙情况一样,认为ρ内2=ρ外2,令其值为ρ,式(17)可化简为:As in the case of negative clearance, it is considered that ρ inner 2 = ρ outer 2 , let its value be ρ, and equation (17) can be simplified as:
在加载力F相同的情况下,可以认为初始游隙为零的轮毂轴承和待测轮毂轴承除钢球以外其他部分(内外套圈、法兰以及装配部位)的变形是相等的,即:In the case of the same loading force F, it can be considered that the deformation of other parts (inner and outer rings, flanges and assembly parts) of the hub bearing with zero initial clearance and the hub bearing to be tested (except the steel ball) are equal, namely:
Ab1=Ab02 (19)A b1 = A b02 (19)
得到负游隙计算公式。结合公式(19),将公式(16)和(18)相减可得公式(20):Obtain the formula for calculating negative clearance. Combined with formula (19), formula (20) can be obtained by subtracting formulas (16) and (18):
将式(20)整理,可得轴承负游隙值为:Arranging the formula (20), the negative clearance value of the bearing can be obtained as:
需要说明的是,在本实施例中,上述计算过程均存储在存储器1005中,处理器1001调用存储器1005中存储的轮毂轴承负游隙的计算方法的测量程序执行上述计算过程,在获取到加载力F、待测的轮毂轴承的内圈101的位移参数Ac1、以及初始游隙为零的轮毂轴承的内圈201的位移参数Ac02后便可以直接读取待测的轮毂轴承的负游隙值。It should be noted that, in this embodiment, the above calculation process is all stored in the
以上所述仅为本发明的优选实施例,并非因此限制本发明的专利范围,凡是在本发明的构思下,利用本发明说明书及附图内容所做的等效结构变换,或直接/间接运用在其他相关的技术领域均包括在本发明的专利保护范围内。The above descriptions are only the preferred embodiments of the present invention, and are not intended to limit the scope of the present invention. Under the conception of the present invention, any equivalent structural transformations made by the contents of the description and drawings of the present invention, or direct/indirect application Other related technical fields are included in the scope of patent protection of the present invention.
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