A one-way clutch outer ring profile design method, system, device and medium
Patent Information
- Application Number
- CN202211492999.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2022-11-25
- Publication Date
- 2026-10-16
- Estimated Expiration
- 2042-11-25
AI Technical Summary
[0006]1)精确度不足,取点位置不同会导致拟合结果不同;
[0057] This invention provides a method, system, device, and medium for designing the outer ring profile of a one-way clutch. Based on the roller radius, inner ring radius, and wedge angle, the curve equation of the logarithmic spiral curve working profile is obtained.
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Figure CN115730404B_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of one-way clutch processing technology, specifically relating to a method, system, equipment, and medium for designing the outer ring surface of a one-way clutch. Background Technology
[0002] One-way clutches, as mechanical devices that can automatically engage and disengage based on changes in the relative speed or direction of the inner and outer rings, are widely used in various fields, especially in automotive transmissions, to achieve power transmission and separation.
[0003] Currently, the widely used friction-type one-way clutch structure, such as Figure 2 As shown, when the outer ring rotates counterclockwise relative to the inner ring, the roller moves away from the spring under the frictional force of the outer ring. When the roller moves to the point where it is tangent to both the outer ring profile and the outer surface of the inner ring, the inner and outer rings gradually approach the same speed due to the frictional force of the rollers, i.e., the one-way clutch locks up. When the outer ring rotates clockwise relative to the inner ring, the roller moves closer to the spring under the frictional force of the outer ring. The roller moves outward under the centrifugal force, and the inner ring is no longer subject to the frictional force of the rollers. The inner and outer rings rotate freely, i.e., the one-way clutch disengages.
[0004] Currently, the outer ring profile mainly adopts eccentric circular arcs, logarithmic spirals, and Archimedean spirals. Among them, logarithmic spirals and Archimedean spirals have fixed angle characteristics, so their wedge angle does not change when the rollers wear, which can improve the service life of one-way clutches. However, their working surfaces are difficult to machine and the accuracy is difficult to guarantee. Therefore, eccentric circular arcs are generally used to fit logarithmic spirals to reduce their machining difficulty.
[0005] Existing techniques generally use the three-point method to fit the logarithmic spiral to the eccentric circular arc, which has the following drawbacks:
[0006] 1) Insufficient accuracy; different point locations will lead to different fitting results.
[0007] 2) The fitting results cannot be expressed with specific formulas, which is not conducive to parametric programming and iterative verification;
[0008] 3) To ensure the minimum fitting error within the working range, it is usually necessary to first determine the starting point and ending point of the curve. Generally, the starting point and ending point of the eccentric arc are ensured to coincide with the logarithmic spiral. However, in actual use, the starting point and ending point of the curve are not the working points, which causes the error within the working range to be greater than the error at the starting point and ending point of the curve. Summary of the Invention
[0009] To address the problems existing in the prior art, this invention provides a method, system, device, and medium for designing the outer ring profile of a one-way clutch, which can improve the accuracy and efficiency of one-way clutch outer ring profile design.
[0010] This invention is achieved through the following technical solution:
[0011] 1. A method for designing the outer ring profile of a one-way clutch, comprising the following steps:
[0012] Based on the roller radius, inner ring radius, and wedge angle, the curve equation of the logarithmic spiral curve working surface is obtained;
[0013] Based on the curve equation, the inner ring circle and roller circle are plotted on the logarithmic spiral curve diagram, such that the roller circle and the inner ring circle are tangent at point M, and the roller circle and the spiral curve are tangent at point K. The polar coordinate angle and radial direction of the contact point between the outer ring surface and the roller are obtained.
[0014] Using the intersection of the extension of the line connecting point K and the center of the roller circle with the perpendicular line connecting the center of the inner ring circle and the center of the roller circle as the center, draw a circle with the distance between the intersection point and point K as the radius. The radius and eccentricity of the eccentric arc can be obtained by using the cosine theorem and the sine theorem.
[0015] Draw the tangent line to the inner ring through point M, and the tangent line to the fitted outer ring surface of the eccentric circular arc through point K. The two tangent lines intersect at point N, and the equation of the wedge angle formed by the eccentric circular arc curve is obtained.
[0016] The change in wedge angle with roller wear is verified to determine whether the change in wedge angle when roller wear is at its maximum is within an acceptable range. Based on the polar coordinate equation of the eccentric circular arc, it is compared with the logarithmic spiral curve equation to obtain the error of the radial direction of the two curves under the same polar coordinate angle, and the effective segment of the fitted eccentric circular arc curve is obtained.
[0017] Furthermore, the curve equation of the logarithmic spiral working surface is:
[0018]
[0019] Where ρ1 is the radius vector of the logarithmic spiral curve; ρ0 is the radius vector of the initial point of the curve; β is the angle between the radius vector of any point on the curve and the tangent at that point; and θ is the polar coordinate angle.
[0020] Furthermore, the center of the inner ring is O1, the center of the roller is O2, the radius of the inner ring is R1, and the radius of the roller is r.
[0021] Let the point where the extension of the line connecting point K and the center O2 of the roller intersects the perpendicular line connecting the center O1 of the inner ring and the center O2 of the roller be the center O3. Then:
[0022] ∠O1KO2=90°-β,
[0023] In △O1KO2, according to the Law of Cosines:
[0024] (R1+r) 2 =r 2 +ρ K 2 -2rρ K cos(90°-β),
[0025] The radial distance ρ at the point of tangency K between the roller circle and the helical curve, which is the working point when the one-way clutch is locked, is obtained. K and polar coordinate angle θ K The calculation formula is:
[0026]
[0027]
[0028] According to the law of sines
[0029] get:
[0030] In right triangle O1O2O3
[0031]
[0032] The formulas for calculating the fitted eccentric arc radius R2 and eccentricity e are as follows:
[0033]
[0034]
[0035] Furthermore, the formula for calculating the wedge angle α is as follows:
[0036]
[0037] Furthermore, the wedge angle α = ∠MNK;
[0038] In quadrilateral O2MNK, ∠O2MN=∠O2KN=90°.
[0039] Then ∠MNK=180°-∠MO2K=∠O1O2O3;
[0040] As the rollers wear down, r gradually decreases, and ∠O3O1O2 is no longer a right angle. In △O1O2O3, according to the law of cosines:
[0041] e 2 =(R²-r) 2 +(R1+r) 2-2(R2-r)(R1+r)cos∠O1O2O3.
[0042] Furthermore, the coordinates of the center of the eccentric circular arc curve are:
[0043]
[0044] The rectangular coordinate equation of the eccentric circular arc is:
[0045]
[0046] Furthermore, let x = ρcosθ and y = ρsinθ, and substitute them into the rectangular coordinate equation to obtain the polar coordinate equation:
[0047]
[0048] A one-way clutch outer ring profile design system, comprising:
[0049] The curve equation acquisition module is used to obtain the curve equation of the logarithmic spiral curve working surface based on the roller radius, inner ring radius, and wedge angle.
[0050] The coordinate angle and radial direction calculation module is used to draw the inner ring circle and roller circle on the logarithmic spiral curve based on the curve equation, so that the roller circle and the inner ring circle are tangent at point M, and the roller circle and the spiral curve are tangent at point K, and obtain the polar coordinate angle and radial direction of the contact point between the outer ring surface and the roller.
[0051] The radius and eccentricity calculation module is used to draw a circle with the intersection of the extension of the line connecting point K and the center of the roller circle and the perpendicular line connecting the center of the inner ring circle and the center of the roller circle as the center, and the distance between the intersection point and point K as the radius. The radius and eccentricity of the eccentric arc are obtained according to the cosine theorem and the sine theorem.
[0052] The wedge angle equation calculation module is used to draw the tangent line of the inner ring through point M and the tangent line of the fitted outer ring surface of the eccentric circular arc through point K. The two tangent lines intersect at point N to obtain the wedge angle equation formed by the eccentric circular arc curve.
[0053] The output results module is used to verify the change of the wedge angle as the roller wears, and to determine whether the change of the wedge angle when the roller wear is at its maximum is within the acceptable range. Based on the polar coordinate equation of the eccentric circular arc, it is compared with the logarithmic spiral curve equation to obtain the error of the radial direction of the two curves under the same polar coordinate angle, and to obtain the effective segment of the fitted eccentric circular arc curve.
[0054] A computer device includes a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the steps of a method for designing the outer ring profile of a one-way clutch.
[0055] A computer-readable storage medium storing a computer program, characterized in that, when executed by a processor, the computer program implements the steps of a method for designing the outer ring profile of a one-way clutch.
[0056] Compared with the prior art, the present invention has the following beneficial technical effects:
[0057] This invention provides a method, system, device, and medium for designing the outer ring profile of a one-way clutch. Based on the roller radius, inner ring radius, and wedge angle, the curve equation of the logarithmic spiral curve working profile is obtained.
[0058] Based on the curve equation, the inner ring circle and roller circle are plotted on the logarithmic spiral curve, such that the roller circle and the inner ring circle are tangent at point M, and the roller circle and the spiral curve are tangent at point K. The polar coordinate angle and radial direction of the contact point between the outer ring surface and the roller are obtained. Taking the intersection point of the extension of the line connecting point K and the center of the roller circle with the perpendicular line connecting the center of the inner ring circle and the center of the roller circle as the center, a circle is drawn with the distance between this intersection point and point K as the radius. The radius and eccentricity of the eccentric arc are obtained according to the cosine theorem and the sine theorem. The tangent line of the inner ring is drawn through point M, and the tangent line of the fitted eccentric arc outer ring surface is drawn through point K. The two tangent lines intersect at point N, and the wedge angle equation formed by the eccentric arc curve is obtained. The wear of the roller is verified. The change in the wedge angle is used to determine whether the change in the wedge angle is within acceptable range when the roller wear is at its maximum. Based on the polar coordinate equation of the eccentric circular arc, it is compared with the logarithmic spiral curve equation to obtain the error of the radial direction of the two curves under the same polar coordinate angle. The effective segment of the fitted eccentric circular arc curve is then obtained. This application uses a formula to accurately express the position and radius of the eccentric circular arc curve, which is convenient for subsequent programmed design verification. The maximum angle range of the usable eccentric circular arc is then calculated, which allows for quick selection of multiple alternative schemes when choosing the angle range. At the same time, the closer the fitted eccentric circular arc curve is to the working point, the smaller the error with the initial logarithmic spiral curve, which better meets the actual use requirements. Attached Figure Description
[0059] Figure 1 This is a flowchart of a one-way clutch outer ring profile design method according to the present invention;
[0060] Figure 2 This is a schematic diagram of a friction-type one-way clutch structure in the prior art;
[0061] Figure 3 This is a schematic diagram of the roller circle, annular circle, and eccentric arc drawn in a specific embodiment of the present invention;
[0062] Figure 4 This is a schematic diagram of a one-way clutch structure in a specific embodiment of the present invention. Detailed Implementation
[0063] The present invention will be further described in detail below with reference to specific embodiments. These descriptions are for explanation purposes only and are not intended to limit the scope of the invention.
[0064] To enable those skilled in the art to better understand the present invention, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings of the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort should fall within the scope of protection of the present invention.
[0065] It should be noted that the terms "first," "second," etc., in the specification, claims, and accompanying drawings of this invention are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate so that the embodiments of the invention described herein can be implemented in orders other than those illustrated or described herein. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover a non-exclusive inclusion; for example, a process, method, system, product, or apparatus that comprises a series of steps or units is not necessarily limited to those steps or units explicitly listed, but may include other steps or units not explicitly listed or inherent to such processes, methods, products, or apparatus.
[0066] A method for designing the outer ring profile of a one-way clutch, such as Figure 1 As shown, it includes the following steps:
[0067] Based on the roller radius, inner ring radius, and wedge angle, the curve equation of the logarithmic spiral curve working surface is obtained;
[0068] Based on the curve equation, the inner ring circle and roller circle are plotted on the logarithmic spiral curve diagram, such that the roller circle and the inner ring circle are tangent at point M, and the roller circle and the spiral curve are tangent at point K. The polar coordinate angle and radial direction of the contact point between the outer ring surface and the roller are obtained.
[0069] Using the intersection of the extension of the line connecting point K and the center of the roller circle with the perpendicular line connecting the center of the inner ring circle and the center of the roller circle as the center, draw a circle with the distance between the intersection point and point K as the radius. The radius and eccentricity of the eccentric arc can be obtained by using the cosine theorem and the sine theorem.
[0070] Draw the tangent line to the inner ring through point M, and the tangent line to the fitted outer ring surface of the eccentric circular arc through point K. The two tangent lines intersect at point N, and the equation of the wedge angle formed by the eccentric circular arc curve is obtained.
[0071] The change in wedge angle with roller wear is verified to determine whether the change in wedge angle when roller wear is at its maximum is within an acceptable range. Based on the polar coordinate equation of the eccentric circular arc, it is compared with the logarithmic spiral curve equation to obtain the error of the radial direction of the two curves under the same polar coordinate angle, and the effective segment of the fitted eccentric circular arc curve is obtained.
[0072] Preferred, such as Figure 2 As shown, the curve equation of the logarithmic spiral curve working surface is:
[0073]
[0074] Where ρ1 is the radius vector of the logarithmic spiral curve; ρ0 is the radius vector of the initial point of the curve; β is the angle between the radius vector of any point on the curve and the tangent at that point; and θ is the polar coordinate angle.
[0075] Preferably, the inner ring center is O1, the roller center is O2, the inner ring radius is R1, and the roller radius is r.
[0076] Let the point where the extension of the line connecting point K and the center O2 of the roller intersects the perpendicular line connecting the center O1 of the inner ring and the center O2 of the roller be the center O3. Then:
[0077] ∠O1KO2=90°-β,
[0078] In △O1KO2, according to the Law of Cosines:
[0079] (R1+r) 2 =r 2 +ρ K 2 -2rρ K cos(90°-β),
[0080] The radial distance ρ at the point of tangency K between the roller circle and the helical curve, which is the working point when the one-way clutch is locked, is obtained. K and polar coordinate angle θ K The calculation formula is:
[0081]
[0082]
[0083] According to the law of sines
[0084] get:
[0085] In right triangle O1O2O3
[0086]
[0087] The formulas for calculating the fitted eccentric arc radius R2 and eccentricity e are as follows:
[0088]
[0089]
[0090] Preferably, the formula for calculating the wedge angle α is:
[0091]
[0092] Preferably, the wedge angle α = ∠MNK;
[0093] In quadrilateral O2MNK, ∠O2MN=∠O2KN=90°.
[0094] Then ∠MNK=180°-∠MO2K=∠O1O2O3;
[0095] As the rollers wear down, r gradually decreases, and ∠O3O1O2 is no longer a right angle. In △O1O2O3, according to the law of cosines:
[0096] e 2 =(R²-r) 2 +(R1+r) 2 -2(R2-r)(R1+r)cos∠O1O2O3.
[0097] Preferably, the coordinates of the center of the eccentric circular arc curve are:
[0098]
[0099] The rectangular coordinate equation of the eccentric circular arc is:
[0100]
[0101] Preferably, let x = ρcosθ, y = ρsinθ, substitute them into the rectangular coordinate equation, and we get the polar coordinate equation as follows:
[0102]
[0103] This invention provides a one-way clutch outer ring profile design system, comprising:
[0104] The curve equation acquisition module is used to obtain the curve equation of the logarithmic spiral curve working surface based on the roller radius, inner ring radius, and wedge angle.
[0105] The coordinate angle and radial direction calculation module is used to draw the inner ring circle and roller circle on the logarithmic spiral curve based on the curve equation, so that the roller circle and the inner ring circle are tangent at point M, and the roller circle and the spiral curve are tangent at point K, and obtain the polar coordinate angle and radial direction of the contact point between the outer ring surface and the roller.
[0106] The radius and eccentricity calculation module is used to draw a circle with the intersection of the extension of the line connecting point K and the center of the roller circle and the perpendicular line connecting the center of the inner ring circle and the center of the roller circle as the center, and the distance between the intersection point and point K as the radius. The radius and eccentricity of the eccentric arc are obtained according to the cosine theorem and the sine theorem.
[0107] The wedge angle equation calculation module is used to draw the tangent line of the inner ring through point M and the tangent line of the fitted outer ring surface of the eccentric circular arc through point K. The two tangent lines intersect at point N to obtain the wedge angle equation formed by the eccentric circular arc curve.
[0108] The output module verifies the change in wedge angle as roller wear increases, and determines whether the change in wedge angle is within acceptable range when roller wear is at its maximum. Based on the polar coordinate equation of the eccentric circular arc, it compares it with the logarithmic spiral curve equation to obtain the error of the radial direction of the two curves under the same polar coordinate angle, and obtains the effective segment of the fitted eccentric circular arc curve.
[0109] The present invention provides an embodiment as follows:
[0110] Step 1. Based on the roller radius r = 5.5 mm, the inner ring radius R1 = 50 mm, and the wedge angle α0 = 8°, determine the initial point radial vector ρ0 = 25 mm for the logarithmic spiral curve. The angle β between the radial vector at any point on the curve and the tangent at that point is 82.72°. Therefore, the initial equation of the logarithmic spiral curve is:
[0111]
[0112] Step 2. Draw the inner ring circle and the roller circle on the logarithmic spiral curve graph, requiring the roller circle to be tangent to the spiral curve, with the point of tangency being K;
[0113] Based on the tangent point K between the roller circle and the helical curve, which is the radial direction ρ of the working point when the one-way clutch is locked, ... K and polar coordinate angle θ K The calculation formula yields the polar coordinate angle θ at the contact point between the outer ring profile and the roller. K and radial direction ρ K :
[0114]
[0115]
[0116] Step 3. Draw a straight line O1O2 connecting the center of the inner ring and the roller, and pass through a straight line L perpendicular to the inner ring center O1 and the connecting line O1O2;
[0117] Step 4. Draw a straight line O2O3 through the point of tangency between the roller and the helix and the center of the roller circle. The straight line O2O3 intersects the straight line L at point O3.
[0118] Step 5. With line segment O3K as the radius and point O3 as the center, draw a circle and select an appropriate arc length to obtain the transformed eccentric circular arc curve.
[0119] Based on the fitted formulas for the eccentric arc radius R2 and eccentricity e, the eccentric arc radius R2 and eccentricity e are obtained as follows:
[0120]
[0121]
[0122] The wedge angle α formed by the eccentric circular arc curve when the roller radius wear reaches 0.05mm, 0.1mm, 0.15mm...0.4mm, according to the wedge angle α calculation formula, is shown in the table below:
[0123] Table 1. Variation of wedge angle with roller wear
[0124]
[0125] As can be seen from the table above, when the roller radius wear reaches 0.4 mm, the wedge angle error is 0.1°, which is relatively small.
[0126] Based on the coordinates of the center of the eccentric circular arc and the rectangular coordinate equation of the eccentric circular arc, the fitted rectangular coordinate equation of the eccentric circular arc is obtained as follows:
[0127] (x+5.058) 2 +(y-5.937) 2 =61.545 2 ;
[0128] The polar coordinate equation is:
[0129] ρ 2 +15.6sin(0.706-θ)ρ=3727;
[0130] Using the quadratic formula, we can derive:
[0131]
[0132] According to the processing technology and design requirements, when the radial deviation between the fitted eccentric circular arc curve and the initial logarithmic spiral is less than 0.05 mm, it is considered a valid segment of the fitted eccentric circular arc curve, that is:
[0133]
[0134] Solving for θ, we get 380.44° < θ < 419.09°, meaning the error between the fitted eccentric circular arc curve within the range of 20.44° to 59.09° and the second loop of the initial logarithmic spiral is within 0.05 mm. Therefore, the effective segment of the fitted eccentric circular arc curve is within the range of 20.44° to 59.09°. In this example, based on design requirements, the eccentric circular arc curve segment within the range of 30.7° to 50.7° is selected as the actual curve segment used.
[0135] In one embodiment of the present invention, a computer device is provided, comprising a processor and a memory. The memory stores a computer program, which includes program instructions. The processor executes the program instructions stored in the computer storage medium. The processor may be a Central Processing Unit (CPU), or other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. It is the computing and control core of the terminal, suitable for implementing one or more instructions, specifically suitable for loading and executing one or more instructions from the computer storage medium to achieve a corresponding method flow or corresponding function. The processor described in this embodiment of the present invention can be used in the operation of a one-way clutch outer ring profile design method.
[0136] In another embodiment of the present invention, a storage medium is provided, specifically a computer-readable storage medium (Memory), which is a memory device in a computer device used to store programs and data. It is understood that the computer-readable storage medium here can include both the built-in storage medium in the computer device and extended storage media supported by the computer device. The computer-readable storage medium provides storage space that stores the operating system of the terminal. Furthermore, the storage space also stores one or more instructions suitable for loading and execution by a processor. These instructions can be one or more computer programs (including program code). It should be noted that the computer-readable storage medium here can be a high-speed RAM memory or a non-volatile memory, such as at least one disk storage device. The processor can load and execute one or more instructions stored in the computer-readable storage medium to implement the corresponding steps of the one-way clutch outer ring profile design method in the above embodiments.
[0137] Those skilled in the art will understand that embodiments of the present invention can be provided as methods, systems, or computer program products. Therefore, the present invention can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention can take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.
[0138] This invention is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart illustrations and / or block diagrams. Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.
[0139] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.
[0140] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.
[0141] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some or all of the technical features therein; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.
Claims
1. A method for designing the outer ring profile of a one-way clutch, characterized in that, Includes the following steps: Based on the roller radius, inner ring radius, and wedge angle, the curve equation of the logarithmic spiral curve working surface is obtained; Based on the curve equation, the inner ring circle and roller circle are plotted on the logarithmic spiral curve diagram, such that the roller circle and the inner ring circle are tangent at point M, and the roller circle and the spiral curve are tangent at point K. The polar coordinate angle and radial direction of the contact point between the outer ring surface and the roller are obtained. Using the intersection of the extension of the line connecting point K and the center of the roller circle with the perpendicular line connecting the center of the inner ring circle and the center of the roller circle as the center, draw a circle with the distance between the intersection point and point K as the radius. The radius and eccentricity of the eccentric arc can be obtained by using the cosine theorem and the sine theorem. Draw the tangent line to the inner ring through point M, and the tangent line to the fitted outer ring surface of the eccentric circular arc through point K. The two tangent lines intersect at point N, and the equation of the wedge angle formed by the eccentric circular arc curve is obtained. The change in wedge angle with roller wear is verified to determine whether the change in wedge angle when roller wear is at its maximum is within an acceptable range. Based on the polar coordinate equation of the eccentric circular arc, it is compared with the logarithmic spiral curve equation to obtain the error of the radial direction of the two curves under the same polar coordinate angle, and the effective segment of the fitted eccentric circular arc curve is obtained.
2. The method for designing the outer ring profile of a one-way clutch according to claim 1, characterized in that, The center of the inner ring is The center of the roller is The inner ring radius is The roller radius is , Using point K and the center of the roller The extension of the connecting line and the center of the inner ring and the center of the roller The point where the perpendicular lines of the connecting lines intersect is the center of the circle. ,but: ; exist In the middle, according to the Law of Cosines: ,in, is the angle between the radius vector at any point on the logarithmic spiral curve and the tangent at that point; The radial direction of the working point when the one-way clutch is locked is obtained by obtaining the tangent point K between the roller circle and the helical curve. and polar coordinate angles The calculation formula is: ; ; According to the law of sines , get: ; exist middle, ; Fitted eccentric arc radius and eccentricity The calculation formula is: ; 。 3. The method for designing the outer ring profile of a one-way clutch according to claim 1, characterized in that, The wedge angle The calculation formula is: , in, Where is the roller radius, For the eccentricity, The inner ring radius, The radius of the eccentric circular arc is given.
4. The method for designing the outer ring profile of a one-way clutch according to claim 3, characterized in that, The wedge angle ; In quadrilateral middle, , but ; As the rollers wear down, r gradually decreases. No longer a right angle, in In the middle, according to the Law of Cosines: , in, Where is the roller radius, For the eccentricity, Centered on the inner ring Center of the roller With point K and the center of the roller circle The extension of the connecting line and the center of the inner ring and the center of the roller The point where the perpendicular lines of the connecting lines intersect.
5. The method for designing the outer ring profile of a one-way clutch according to claim 1, characterized in that, The coordinates of the center of the eccentric circular arc curve are: ; The rectangular coordinate equation of the eccentric circular arc is: , in, Where is the roller radius, For the eccentricity, For polar coordinates, Let be the angle between the radius vector at any point on the logarithmic spiral curve and the tangent at that point. The x-coordinate in a rectangular coordinate system The ordinate in a rectangular coordinate system. The inner ring radius, The radius of the eccentric circular arc is given.
6. A one-way clutch outer ring profile design system, characterized in that, A method for designing the outer ring profile of a one-way clutch based on any one of claims 1-5, comprising: The curve equation acquisition module is used to obtain the curve equation of the logarithmic spiral curve working surface based on the roller radius, inner ring radius, and wedge angle. The coordinate angle and radial direction calculation module is used to draw the inner ring circle and roller circle on the logarithmic spiral curve based on the curve equation, so that the roller circle and the inner ring circle are tangent at point M, and the roller circle and the spiral curve are tangent at point K, and obtain the polar coordinate angle and radial direction of the contact point between the outer ring surface and the roller. The radius and eccentricity calculation module is used to draw a circle with the intersection of the extension of the line connecting point K and the center of the roller circle and the perpendicular line connecting the center of the inner ring circle and the center of the roller circle as the center, and the distance between the intersection point and point K as the radius. The radius and eccentricity of the eccentric arc are obtained according to the cosine theorem and the sine theorem. The wedge angle equation calculation module is used to draw the tangent line of the inner ring through point M and the tangent line of the fitted outer ring surface of the eccentric circular arc through point K. The two tangent lines intersect at point N to obtain the wedge angle equation formed by the eccentric circular arc curve. The output results module is used to verify the change of the wedge angle as the roller wears, and to determine whether the change of the wedge angle when the roller wear is at its maximum is within the acceptable range. Based on the polar coordinate equation of the eccentric circular arc, it is compared with the logarithmic spiral curve equation to obtain the error of the radial direction of the two curves under the same polar coordinate angle, and to obtain the effective segment of the fitted eccentric circular arc curve.
7. A computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the computer program, it implements the steps of the one-way clutch outer ring profile design method as described in any one of claims 1-5.
8. A computer-readable storage medium storing a computer program, characterized in that, When the computer program is executed by the processor, it implements the steps of the one-way clutch outer ring profile design method as described in any one of claims 1-5.
Citation Information
Patent Citations
Log spiral wedge type freewheel clutch
CN205937571U
Roller clutch
JP2001271854A