CN115034006B - Sprocket Design Method - Google Patents
Sprocket Design Method Download PDFInfo
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- CN115034006B CN115034006B CN202210612706.8A CN202210612706A CN115034006B CN 115034006 B CN115034006 B CN 115034006B CN 202210612706 A CN202210612706 A CN 202210612706A CN 115034006 B CN115034006 B CN 115034006B
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
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Abstract
The invention discloses a design method of a chain wheel, which comprises the steps of selecting a chain model, determining the number of teeth of the chain wheel, determining the chain ring according to the number of teeth of the chain wheel and the chain model, wherein the chain ring is a closed circular ring formed by alternately arranging a plurality of flat chains and a plurality of vertical chains, the number of the flat chains and the vertical chains is the same as that of the teeth of the chain wheel, determining the overall profile of the chain wheel according to the selected chain, determining the external tooth form of the chain wheel according to the chain ring, and determining the internal tooth form according to the chain ring and the external tooth form of the chain wheel. The chain wheel design method adopts a reverse design thought, and jumps out of an empirical formula to design the chain wheel, so that the design error can be effectively reduced, and the design precision of the chain wheel is improved, thereby enabling the chain to be almost perfectly matched with the chain wheel, and greatly reducing the quality problems of mismatching, tooth clamping, tooth jumping or serious abrasion of the chain.
Description
Technical Field
The invention relates to the technical field of machinery, in particular to a sprocket design method.
Background
Chain transmission is a transmission mode in which motion and power of a driving sprocket having a special tooth form is transmitted to a driven sprocket having a special tooth form through a chain. The chain transmission has the advantages of no elastic sliding and slipping phenomenon, accurate average transmission ratio, reliable work, high efficiency, high transmission power, strong overload capacity, small transmission size under the same working condition, small required tensioning force, small pressure acting on a shaft, capability of working in severe environments such as high temperature, humidity, dustiness, pollution and the like, and can be widely applied to mechanical equipment. The sprocket wheel is a main component of the chain transmission, which plays a very important role in the operation of the chain transmission.
At present, the design of the chain wheel is carried out by calculating the pitch circle diameter, the outer diameter, the chain nest related parameters and the like of the chain wheel through a theoretical empirical formula after determining the tooth number of the chain wheel, the pitch and the diameter of the chain, and the design mode belongs to an empirical and normal theoretical forward design method. The sprocket designed by the theoretical empirical formula and the actual model have larger errors, and generally have the following problems that 1, the sprocket is too empirical, 2, the sprocket designed by the empirical formula has larger errors and larger in-out of the actual sprocket model, and 3, the sprocket designed by the empirical formula has larger probability of being unmatched with a chain and has serious quality problems of tooth clamping, tooth jumping or abrasion.
Disclosure of Invention
The invention aims to provide a sprocket design method which can jump out of an empirical formula, reduce design errors and improve the design accuracy of a sprocket.
The invention provides a sprocket design method, comprising the following steps:
Selecting a chain model and determining the number of teeth of a chain wheel;
Determining a chain ring according to the number of teeth of the chain wheel and the model of the chain, wherein the chain ring is a closed circular ring formed by alternately arranging a plurality of flat chains and a plurality of vertical chains, and the number of the flat chains and the vertical chains is the same as the number of teeth of the chain wheel;
Determining the overall profile of the sprocket from the selected chain;
determining the outer tooth form of the chain wheel according to the chain ring;
And determining the inner tooth form according to the chain ring and the outer tooth form of the chain wheel.
In one embodiment, the sprocket design method further comprises the step of determining the inner hole diameter of the sprocket and the length of the sprocket according to the size of the sprocket shaft.
In one embodiment, when determining the chain link according to the number of teeth of the chain wheel and the chain model, the flat chain and the vertical chain of the chain link have the same structures as those of the selected chain, and the pitch circle radius of the chain link is determined according to the number of teeth of the chain wheel and the chain model.
In one embodiment, the determining the radius of the reference circle of the chain ring specifically includes:
Obtaining half of an included angle of a reference circle corresponding to one flat chain in the chain ring;
According to half of the included angle of the reference circle corresponding to the flat chain;
An actual pitch circle radius of the link is obtained from the theoretical pitch circle radius and an error coefficient of the link.
In one embodiment, the half of the included angle of the reference circle corresponding to one flat chain in the obtained chain ring is specifically calculated according to the followingCalculating to obtain half of the included angle of the reference circle corresponding to one flat chain in the chain ring;
the obtaining of the theoretical pitch circle radius of the link comprises in particular according to the formula Calculating to obtain the theoretical reference circle radius of the chain ring;
the obtaining of the actual radius of the pitch circle of the chain ring comprises in particular according to The actual pitch circle radius of the link is calculated, wherein,, wherein,As an error coefficient, R is a theoretical reference circle radius, 2α is a reference circle included angle corresponding to a flat chain, d is a chain diameter and p is a chain pitch, R is an actual reference circle radius of a chain ring, z is a determined number of teeth of a chain wheel, and n is the total number of the flat chain and the vertical chain of the chain ring.
In one embodiment, determining the overall profile of the sprocket from the selected chain specifically includes determining a sprocket pitch angle, a sprocket pitch diameter, a sprocket outer diameter, a sprocket standing ring groove diameter, and a short tooth thickness from the selected chain and the determined number of teeth of the sprocket.
In one embodiment, the determining the external tooth shape of the chain wheel according to the chain ring specifically comprises determining the external tooth shape outer diameter according to the external tooth shape outer diameter, determining the external tooth shape inner diameter according to the vertical groove diameter of the chain wheel vertical ring, determining the external tooth shape standard opening angle and the external tooth shape maximum opening angle according to the chain wheel pitch angle, and determining the position of the external tooth shape standard opening angle contour edge line corresponding to the chain wheel tooth according to the short tooth thickness and the vertical chain center line of the chain ring.
In one embodiment, the external tooth profile is equal to the external tooth profile, the internal tooth profile is equal to the vertical groove diameter of the vertical ring of the chain wheel, the external tooth profile standard opening angle is equal to twice the pitch angle of the chain wheel, the external tooth profile maximum opening angle is less than or equal to three times the pitch angle of the chain wheel and is greater than the external tooth profile standard opening angle, the distance from the external tooth profile edge line of the chain wheel tooth to the vertical chain center line of the corresponding chain ring is half of the tooth thickness of the short tooth, the external tooth profile comprises the external tooth profile standard opening angle profile edge line and the external tooth profile maximum opening angle profile line, one end of the external tooth profile edge line is positioned on the circumference of the internal tooth profile, the other end of the external tooth profile maximum opening angle profile line is connected to the external tooth profile maximum opening angle, and one end of the external tooth profile maximum opening angle profile line is positioned on the circumference of the external tooth profile.
In one embodiment, the determining the inner tooth form according to the outer tooth form of the chain ring and the outer tooth form of the chain wheel specifically comprises determining the outer tooth form diameter and the inner tooth form diameter according to the outer tooth form diameter and the outer tooth form diameter, determining the inner tooth form standard opening angle according to the outer tooth form standard opening angle, determining the inner tooth form standard opening angle contour line according to the outer tooth form standard opening angle contour line, determining the inner tooth form running edge line according to the chain ring, determining the inner tooth form running small diameter according to the chain diameter, and determining the inner tooth form running outer tooth diameter according to the chain ring and the inner tooth form running small diameter.
In one embodiment, the inner tooth outer diameter and the inner tooth inner diameter are respectively equal to the outer tooth outer diameter and the outer tooth inner diameter, the inner tooth standard opening angle is equal to the outer tooth standard opening angle, the inner tooth standard opening angle contour edge is the same as the outer tooth standard opening angle contour edge, the outermost contour line of the flat chain of the chain ring is mapped into the inner tooth running edge, the diameter of the inner tooth running edge is equal to the diameter of the chain, an auxiliary circle is made by taking the center point of the far end of the adjacent chain of the chain corresponding to the inner tooth as the center point, the auxiliary circle is tangent with the inner tooth running edge, the inner tooth running edge outer diameter is intersected with the auxiliary circle, the inner tooth comprises an inner tooth running edge, an inner tooth running edge small diameter and an inner tooth running edge outer diameter, two ends of the inner tooth running edge small diameter are respectively connected with the inner tooth running edge and the inner tooth running edge outer diameter, and one end of the inner tooth running edge is positioned on the circumference of the inner tooth running edge.
The chain wheel design method adopts a reverse design thought, and jumps out of an empirical formula to design the chain wheel, so that the design error can be effectively reduced, and the design precision of the chain wheel is improved, thereby enabling the chain to be almost perfectly matched with the chain wheel, and greatly reducing the quality problems of mismatching, tooth clamping, tooth jumping or serious abrasion of the chain.
Drawings
FIG. 1 is a schematic view of a sprocket according to the present invention.
FIG. 2 is a flow chart of a sprocket design method according to an embodiment of the present invention.
FIG. 3 is a schematic structural view of a chain ring involved in the method of designing a sprocket shown in FIG. 2.
FIG. 4 is a schematic view of the outer profile of the sprocket in the method of designing a sprocket shown in FIG. 2.
FIG. 5 is a schematic view of the inner tooth form of the sprocket in the method of designing a sprocket shown in FIG. 2.
Detailed Description
In order to further describe the technical manner and efficacy of the present invention for achieving the intended purpose, the following detailed description of the embodiments, structures, features and efficacy of the invention refers to the accompanying drawings and examples.
The present invention provides a sprocket design method for designing a sprocket, as shown in fig. 1, the sprocket generally includes a main body portion 11 and a plurality of gear teeth 13 provided at an outer peripheral edge of the main body portion 11, the gear teeth 13 including an external tooth portion 132 and an internal tooth portion 134. The design difficulty for the sprocket is the tooth form of the external tooth system and the internal tooth system, as well as the design of the sprocket pockets.
As shown in fig. 2, the sprocket design method according to an embodiment of the present invention includes the steps of:
S11, selecting a chain model, and determining the number z of teeth of the chain wheel. Typically, the chain type may be selected as desired in a national standard or design manual.
S13, determining the chain ring 10 according to the number z of the teeth of the chain wheel and the model of the chain, as shown in fig. 3, the chain ring 10 is formed by alternately arranging a plurality of flat chains 12 and a plurality of vertical chains 14 to form a closed ring, and the number of the flat chains 12 and the vertical chains 14 is the same as the number z of the teeth of the chain wheel. Wherein the chain ring 10 is an intermediate component defined for the design of the sprocket. The links are closed rings consisting of an equal number of alternating vertical and horizontal links, which in theory mesh exactly with the tooth form of the sprocket, i.e. the number n of links 10 is twice the number z of teeth of the sprocket, i.e. Fig. 3 shows a chain link structure with a sprocket tooth number z of 5.
Specifically, the flat chain 12 and the upright chain 14 of the chain link 10 are identical in structure to the flat chain and the upright chain of the selected chain, and the pitch circle radius R of the chain link is determined according to the sprocket tooth number z and the chain type. In this way, the structure of the chain link 10 is determined.
Determining the pitch circle radius R of the chain ring 10 comprises the steps of:
S131, half alpha of an included angle of the reference circle corresponding to one flat chain in the chain ring is obtained. In particular, the method comprises the steps of,
Wherein 2 alpha is the included angle of the reference circle corresponding to a flat chain in the chain ring, d is the diameter of the chain, p is the pitch of the chain, and z is the number of teeth of the chain wheel.
S133, obtaining the theoretical pitch circle radius r of the chain ring according to the fact that the half alpha and d of the pitch circle included angle corresponding to the flat chain are the diameter of the chain and p is the pitch of the chain. In particular, the method comprises the steps of,。
S135, according to the theoretical reference circle radius r and error coefficient of the chain ring 10The actual pitch circle radius R of the link is obtained.
In particular, the theoretically calculated reference circle radius r is correspondingly error due to the error existing when the polygon approaches the ring. As shown by comparison with the actual model, the error is only 0.75% when the number of teeth is 5, and the error is reduced with the increase of the number of teeth, and is 0.016% when the number of teeth is 36, and the error is completely negligible. When the number of teeth is greater than 36, then the actual pitch circle radius R is considered to be equal to the theoretical pitch circle radius R. The number z of teeth and the error coefficientThe following linear relationship is approximated:
。
The actual pitch circle radius R of the link is:
。
s15, determining the overall profile of the chain wheel according to the selected chain.
Specifically, the sprocket pitch angle is determined based on the selected chain and the determined number of teeth of the sprocketPitch diameter of sprocketAn outer diameter Dg of a sprocket diameter of vertical groove of vertical ring of chain wheelParameters such as tooth thickness W of the short teeth.
Pitch angle of sprocketThe method comprises the following steps:
wherein z is the number of teeth of the sprocket.
Pitch diameter of sprocketThe method comprises the following steps:
Where d is the chain diameter and p is the chain pitch.
The sprocket outer diameter Dg is specifically: . Because the chain and the chain wheel are worn in actual operation, the pitch circles of the chain and the chain wheel are required to be matched Rounding is performed to obtain the sprocket outer diameter Dg.
Diameter of vertical groove of vertical ring of chain wheelThe method comprises the following steps: Wherein b is the maximum outer width of the chain, For the corresponding value of the chain, a corresponding table lookup may be referenced.
The tooth thickness W of the short tooth is specifically as follows: , wherein, ,。
S17, determining the outer tooth shape of the chain wheel according to the chain ring 10.
Specifically, referring to FIG. 4, an outer tooth form outer diameter Dw1 is determined based on a sprocket outer diameter Dg, based on a sprocket standing ring standing groove diameterDetermining the inner diameter Dn1 of the outer tooth form according to the pitch angle of the chain wheelThe external tooth form standard opening angle beta and the external tooth form maximum opening angle delta are determined, and the position of the external tooth form standard opening angle contour edge line 31 corresponding to the sprocket tooth is determined according to the short tooth thickness W and the vertical chain center line of the chain ring.
Specifically, the outer tooth form outer diameter Dw1 is equal to the sprocket outer diameter Dg, and the outer tooth form inner diameter Dn1 is equal to the sprocket standing ring standing groove diameterExternal tooth form standard opening angle beta is equal to the pitch angle of the chain wheelIs twice as large as the maximum opening angle delta of the external tooth profile is less than or equal to the pitch angle of the chain wheelAnd is greater than the external tooth form standard opening angle beta, the distance L from the external tooth form standard opening angle contour edge 31 of the sprocket tooth to the vertical chain centerline of the corresponding link is half the short tooth thickness W. The external tooth profile comprises an external tooth standard opening angle profile edge line 31 and an external tooth maximum opening angle profile line 33, one end of the external tooth standard opening angle profile edge line 31 is positioned on the external tooth inner diameter circumference, the other end of the external tooth standard opening angle profile edge line is connected to the external tooth maximum opening angle profile line 33, and one end of the external tooth maximum opening angle profile line 33 is positioned on the external tooth outer diameter circumference.
S19, determining the inner tooth form according to the chain ring 10 and the outer tooth form of the chain wheel.
Specifically, referring to fig. 5, an inner tooth outer diameter Dw2 and an inner tooth inner diameter Dn2 are determined from an outer tooth outer diameter Dw1 and an outer tooth inner diameter Dn1, an inner tooth standard opening angle βn is determined from an outer tooth standard opening angle β, an inner tooth standard opening angle contour edge 50 is determined from an outer tooth standard opening angle contour edge 31, an inner tooth running edge 51 is determined from the chain ring 10, an inner tooth running minor diameter 53 is determined from a chain diameter d, and an inner tooth running outer diameter 55 is determined from the chain ring 10 and the inner tooth running minor diameter 53.
Specifically, the inner tooth outer diameter Dw2 and the inner tooth inner diameter Dn2 are respectively equal to the outer tooth outer diameter Dw1 and the inner tooth inner diameter Dn1, the inner tooth standard opening angle βn is equal to the outer tooth standard opening angle β, the inner tooth standard opening angle contour line 50 is identical to the outer tooth standard opening angle contour line 31, the outermost contour line of the flat chain 12 of the chain ring 10 is mapped into an inner tooth running tooth line 51, the diameter dm of the inner tooth running tooth minor diameter 53 is equal to the chain diameter d, an auxiliary circle is made with the center point a of the distal end of the adjacent vertical chain of the chain corresponding to the inner tooth as the center, the auxiliary circle is tangent with the inner tooth running tooth minor diameter 53, and the inner tooth running tooth outer diameter 55 intersects with the auxiliary circle. The inner tooth shape comprises an inner tooth shape travelling tooth line 51, an inner tooth shape travelling tooth small diameter 53 and an inner tooth shape travelling tooth outer diameter 55, two ends of the inner tooth shape travelling tooth small diameter 53 are respectively connected with the inner tooth shape travelling tooth line 51 and the inner tooth shape travelling tooth outer diameter 55, and one end of the inner tooth shape travelling tooth line 51 is located on the circumference of the inner tooth shape outer diameter.
In this embodiment, the sprocket design method further includes the steps of:
The inner hole diameter Dm of the sprocket and the length of the sprocket are determined according to the size of the sprocket shaft.
When the chain wheel is designed, a chain ring model can be drawn in drawing software according to the step S13, then the whole outline of the chain wheel is drawn according to the parameters of the step S15, and then the outline lines of the outer tooth form and the inner tooth form of the chain wheel are respectively drawn according to the steps S17 and S19, so that a three-dimensional chain wheel model can be obtained, and the structural design of the chain wheel is completed. In steps S17, S19, the chain ring 10 is actually wound around the designed sprocket, so that the designed sprocket can be well matched with the selected chain.
In the method for designing the chain wheel, the reverse design thought is adopted, and the chain wheel is designed by jumping out of an empirical formula, so that the design error can be effectively reduced, and the design precision of the chain wheel is improved, so that the chain is almost perfectly matched with the chain wheel, and the quality problems of mismatching, tooth clamping, tooth jumping or serious abrasion of the chain are greatly reduced.
The present invention is not limited to the preferred embodiments, and the present invention is disclosed in the above description, but is not limited to the preferred embodiments, and any person skilled in the art will appreciate that the present invention is not limited to the embodiments, while the above disclosure is directed to various equivalent embodiments, which are capable of being modified or varied in several ways, any simple modification, equivalent changes and variation of the above embodiments according to the technical principles of the present invention will still fall within the scope of the present invention.
Claims (7)
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210612706.8A CN115034006B (en) | 2022-05-31 | 2022-05-31 | Sprocket Design Method |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210612706.8A CN115034006B (en) | 2022-05-31 | 2022-05-31 | Sprocket Design Method |
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| CN115034006A CN115034006A (en) | 2022-09-09 |
| CN115034006B true CN115034006B (en) | 2025-05-27 |
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| Application Number | Title | Priority Date | Filing Date |
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| CN202210612706.8A Active CN115034006B (en) | 2022-05-31 | 2022-05-31 | Sprocket Design Method |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP4662507B1 (en) * | 2009-11-05 | 2011-03-30 | 株式会社椿本チエイン | Meshing chain |
| EP3144560A1 (en) * | 2015-09-21 | 2017-03-22 | Theodorus Henricus Johannes Carolina Korse | Chain drive |
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2022
- 2022-05-31 CN CN202210612706.8A patent/CN115034006B/en active Active
Non-Patent Citations (1)
| Title |
|---|
| 刮板输送机链轮的逆向设计及建模;范鹏程 等;机械工程与自动化;20221010(第05期);78-79+82 * |
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Effective date of registration: 20251113 Address after: 238200 Anhui Province, Ma'anshan City, Zhengpu Port New District, Zhongfei Avenue No. 277, Modern Industrial Incubation Park Building 6, Room 309 Patentee after: Anhui Zoomlion Foundation Construction Intelligent Equipment Technology Co.,Ltd. Country or region after: China Address before: 201613 Shanghai City Songjiang District Bin Fen Road 297.NO Patentee before: SHANGHAI ZOOMLION PILING MACHINERY Co.,Ltd. Country or region before: China |