Gear vibration noise evaluation method and device, storage medium, and computer equipment
By calculating the contact stiffness and vibration displacement of the gear system and simulating the dynamic meshing force, the problem of insufficient evaluation accuracy of vibration noise of the composite transmission device is solved, and the application potential in new energy vehicles and other fields is enhanced.
Patent Information
- Application Number
- CN202411498076.1
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-10-25
- Publication Date
- 2024-12-20
- Estimated Expiration
- 2044-10-25
AI Technical Summary
The prior art cannot evaluate the vibration noise characteristics and durability of steel and polymer gear composite transmission devices with high accuracy, which affects its application in high-end equipment fields such as new energy vehicles.
By obtaining gear parameters of the gear system, calculating contact stiffness values and vibration displacements, simulating tangential and axial dynamic meshing forces, and combining the bearing torque to simulate vibration noise generation, thereby improving the accuracy of noise evaluation.
It improves the accuracy of vibration noise evaluation of gear system and enhances the application potential of composite transmission devices in the field of high-end equipment.
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Figure CN119004921B_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the field of mechanical transmission technology, and in particular to a gear vibration noise evaluation method and device, a storage medium, and a computer device. Background Art
[0002] As a combination of components for transmitting power and motion, the transmission device plays an important role in the transmission system of new energy vehicles. Polymer gears are widely used in automotive electrical equipment, instrumentation and other fields due to their light weight, low noise, self-lubrication and low-cost and efficient production brought by injection molding technology. In recent years, the research and development and modification of high-performance engineering polymers and the continuous upgrading of precision injection molding technology have continuously improved the load-bearing power of polymer gears, reaching more than 30kW, achieving a breakthrough from simple motion transmission to power transmission, and have been successfully applied to new energy vehicle reducers and other fields, and are constantly evolving towards high power and large size, which has effectively promoted the transformation trend of "plastic replacing steel" in the gear industry.
[0003] The application of polymer gears in the transmission system of new energy vehicles helps to reduce the mass and rotational inertia of the system, improve power density and control accuracy, increase the overlap and load balance of gear pairs, and thus promote energy conservation and emission reduction, optimize vibration and noise, and comprehensively improve the performance of the vehicle. Since polymer gears are significantly weaker than steel gears in terms of strength, stiffness, thermal conductivity and wear resistance, the composite transmission scheme of steel and polymer gears can fully combine the high strength, high hardness, and wear resistance of steel with the lightweight, self-lubricating, and corrosion-resistant characteristics of polymer materials, which helps to give full play to their respective advantages and develop new composite transmission devices.
[0004] However, the current evaluation accuracy of the vibration noise characteristics and durability reliability of steel and polymer gear composite transmission devices, that is, gear systems composed of steel gears and polymer gears, is not high, which to some extent affects the further application of the aforementioned "composite" gear system in high-end equipment fields such as new energy vehicles. Summary of the invention
[0005] In view of this, the present application provides a gear vibration and noise evaluation method and device, storage medium, and computer equipment to obtain the gear parameters of the gear system, wherein the gear system includes steel gears and polymer gears that mesh with each other, and the gear parameters include the load-bearing torque of the steel gears and the polymer gears respectively; based on the gear parameters, the contact stiffness value of the gear system is calculated, and based on the gear parameters and the calculated contact stiffness value, the vibration displacement of the gear system during the transmission process is calculated; based on the correlation between the force and the vibration displacement of the gear system, the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to produce the aforementioned vibration displacement are obtained; based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, the vibration and noise generation of the gear system during the transmission process is simulated, and the vibration and noise evaluation result is obtained based on the simulated vibration and noise generation. By calculating the contact stiffness value and simulating the vibration and noise generation, the noise evaluation accuracy can be improved.
[0006] According to one aspect of the present application, a gear vibration noise evaluation method is provided, the method comprising:
[0007] Acquire gear parameters of a gear system, wherein the gear system includes steel gears and polymer gears meshing with each other, and the gear parameters include the load-bearing torques of the steel gears and the polymer gears;
[0008] Based on the gear parameters, calculating the contact stiffness value of the gear system, and based on the gear parameters and the calculated contact stiffness value, calculating the vibration displacement of the gear system during the transmission process;
[0009] Based on the correlation between the force and vibration displacement of the gear system, the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate the vibration displacement are obtained;
[0010] Based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, the vibration and noise generation of the gear system during the transmission process is simulated, and a vibration and noise evaluation result is obtained based on the simulated vibration and noise generation.
[0011] Optionally, the steel gear and the polymer gear have different tooth widths, and the contact stiffness value of the gear system is calculated based on the gear parameters, including:
[0012] Based on the gear parameters and the contact stiffness value calculation formula, the contact stiffness value of the gear system is calculated, wherein the contact stiffness value calculation formula is:
[0013] , , , ,
[0014] is the contact stiffness value of the gear system, is the elastic modulus of the steel gear, is the tooth width of the pinion in the gear system, is the Poisson's ratio of the steel gear, is the viscous contact force action radius when the steel gear contacts the polymer gear, is the equivalent radius of curvature of the gear system, is the process parameter in calculating the contact stiffness value, is the interfacial adhesion energy of the contact interface between steel gear and polymer gear, is the elastic modulus of the gear system, is the viscous contact force when the steel gear contacts the polymer gear, is the preset stress factor, is the elastic contact force action radius when the steel gear contacts the polymer gear.
[0015] Optionally, the gear parameters include compression stiffness values, bending stiffness values, shear stiffness values, and tooth base stiffness values of the steel gear and the polymer gear, respectively; and the step of calculating the vibration displacement of the gear system during the transmission process based on the gear parameters and the calculated contact stiffness values includes:
[0016] Based on the normal time-varying meshing stiffness value calculation formula, the contact stiffness value and the gear parameters, the normal time-varying meshing stiffness value of the gear system is calculated, and based on the normal time-varying meshing stiffness value and the gear parameters, the vibration displacement of the gear system during the transmission process is calculated, wherein the normal time-varying meshing stiffness value calculation formula is:
[0017] ,
[0018] is the normal time-varying mesh stiffness of the gear system, and are the compression stiffness values of steel gears and polymer gears, and are the bending stiffness values of steel gears and polymer gears, and are the shear stiffness of steel gears and the compression stiffness of polymer gears, and are the tooth base stiffness values of steel gears and polymer gears, is the contact stiffness value of the gear system.
[0019] Optionally, the gear parameters include the mass and base circle radius of the steel gear and the polymer gear, respectively; the vibration displacement includes the translational vibration displacement of the steel gear and the polymer gear along the y-axis direction, the translational vibration displacement along the z-axis direction, and the angular vibration displacement during the transmission process; and the calculation of the vibration displacement of the gear system during the transmission process based on the normal time-varying meshing stiffness value and the gear parameters includes:
[0020] Based on the normal time-varying meshing stiffness value, the gear parameters and the vibration displacement calculation formula, the vibration displacement of the gear system during the transmission process is calculated, wherein the vibration displacement calculation formula is:
[0021] ,
[0022] ,
[0023] ,
[0024] ,
[0025] ,
[0026] ,
[0027] and are the masses of the steel gear and the polymer, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, and are the first and second order derivatives, respectively, , , and The preset translational vibration damping coefficients in the tangential and axial directions of steel gears and the preset translational vibration damping coefficients in the tangential and axial directions of polymer gears are respectively: , , and The preset translational vibration stiffness coefficients in the tangential and axial directions of the steel gear and the preset translational vibration stiffness coefficients in the tangential and axial directions of the polymer gear are respectively: and are the moments of inertia of steel gears and polymer gears, and are the base circle radii of steel gears and polymer gears, and are the load torques of steel gears and polymer gears, is the helix angle of the gear system during transmission, is the normal time-varying mesh stiffness of the gear system, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system.
[0028] Optionally, the obtaining of the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate the vibration displacement based on the correlation between the force and the vibration displacement of the gear system includes:
[0029] Based on the calculation formula of the tangential dynamic meshing force vibration displacement correlation relationship and the vibration displacement, the tangential dynamic meshing force of the gear system is obtained, and based on the calculation formula of the axial dynamic meshing force vibration displacement correlation relationship and the vibration displacement, the axial dynamic meshing force of the gear system is obtained, wherein the calculation formula of the tangential dynamic meshing force vibration displacement correlation relationship is:
[0030] ,
[0031] The calculation formula for the correlation relationship between the axial dynamic meshing force and the vibration displacement is:
[0032] ,
[0033] and are the tangential dynamic meshing force and axial dynamic meshing force of the gear system, is the helix angle of the gear system during transmission, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, is the normal time-varying mesh stiffness of the gear system, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, is the first-order derivative, and are the base circle radii of steel gears and polymer gears, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system.
[0034] Optionally, based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, simulating the vibration and noise generation of the gear system during the transmission process, and obtaining a vibration and noise evaluation result based on the simulated vibration and noise generation, includes:
[0035] Based on the tangential dynamic meshing force, the axial dynamic meshing force, the load-bearing torque and the finite element simulation method, the vibration acceleration and the noise sound pressure level of the gear system during the transmission process are obtained, and the vibration and noise evaluation results are obtained based on the vibration acceleration and the noise sound pressure level, wherein the load-bearing torque includes the steel gear load-bearing torque and the polymer gear load-bearing torque.
[0036] Optionally, obtaining a vibration noise evaluation result based on the vibration acceleration and the noise sound pressure level includes:
[0037] When the vibration acceleration is less than a preset vibration acceleration standard value, and the noise sound pressure level is less than a preset noise sound pressure standard level, the vibration noise evaluation result of the gear system meets the vibration noise performance requirements.
[0038] According to another aspect of the present application, a gear vibration noise evaluation device is provided, the device comprising:
[0039] A gear parameter acquisition module, used to acquire gear parameters of a gear system, wherein the gear system includes steel gears and polymer gears meshing with each other, and the gear parameters include the bearing torque of each of the steel gear and the polymer gear;
[0040] A vibration process quantity calculation module, used to calculate the contact stiffness value of the gear system based on the gear parameters, and to calculate the vibration displacement of the gear system during the transmission process based on the gear parameters and the calculated contact stiffness value;
[0041] A vibration force calculation module, for obtaining the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate the vibration displacement based on the correlation between the force and the vibration displacement of the gear system;
[0042] The vibration and noise evaluation module is used to simulate the vibration and noise generation of the gear system during the transmission process based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, and obtain a vibration and noise evaluation result based on the simulated vibration and noise generation.
[0043] Optionally, the steel gear and the polymer gear have different tooth widths, and the vibration process quantity calculation module is further used to:
[0044] Based on the gear parameters and the contact stiffness value calculation formula, the contact stiffness value of the gear system is calculated, wherein the contact stiffness value calculation formula is:
[0045] , , , ,
[0046] is the contact stiffness value of the gear system, is the elastic modulus of the steel gear, is the tooth width of the pinion in the gear system, is the Poisson's ratio of the steel gear, is the viscous contact force action radius when the steel gear contacts the polymer gear, is the equivalent radius of curvature of the gear system, is the process parameter in calculating the contact stiffness value, is the interfacial adhesion energy of the contact interface between steel gear and polymer gear, is the elastic modulus of the gear system, is the viscous contact force when the steel gear contacts the polymer gear, is the preset stress factor, is the elastic contact force action radius when the steel gear contacts the polymer gear.
[0047] Optionally, the gear parameters include compression stiffness values, bending stiffness values, shear stiffness values and tooth base stiffness values of the steel gear and the polymer gear respectively; the vibration process quantity calculation module is further used for:
[0048] Based on the normal time-varying meshing stiffness value calculation formula, the contact stiffness value and the gear parameters, the normal time-varying meshing stiffness value of the gear system is calculated, and based on the normal time-varying meshing stiffness value and the gear parameters, the vibration displacement of the gear system during the transmission process is calculated, wherein the normal time-varying meshing stiffness value calculation formula is:
[0049] ,
[0050] is the normal time-varying mesh stiffness of the gear system, and are the compression stiffness values of steel gears and polymer gears, and are the bending stiffness values of steel gears and polymer gears, and are the shear stiffness of steel gears and the compression stiffness of polymer gears, and are the tooth base stiffness values of steel gears and polymer gears, is the contact stiffness value of the gear system.
[0051] Optionally, the gear parameters include the mass and base circle radius of the steel gear and the polymer gear, the vibration displacement includes the translational vibration displacement of the steel gear and the polymer gear along the y-axis direction, the translational vibration displacement along the z-axis direction and the angular vibration displacement during the transmission process, and the vibration process quantity calculation module is further used to:
[0052] Based on the normal time-varying meshing stiffness value, the gear parameters and the vibration displacement calculation formula, the vibration displacement of the gear system during the transmission process is calculated, wherein the vibration displacement calculation formula is:
[0053] ,
[0054] ,
[0055] ,
[0056] ,
[0057] ,
[0058] ,
[0059] and are the masses of the steel gear and the polymer, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, and are the first and second order derivatives, respectively, , , and The preset translational vibration damping coefficients in the tangential and axial directions of steel gears and the preset translational vibration damping coefficients in the tangential and axial directions of polymer gears are respectively: , , and The preset translational vibration stiffness coefficients in the tangential and axial directions of the steel gear and the preset translational vibration stiffness coefficients in the tangential and axial directions of the polymer gear are respectively: and are the moments of inertia of steel gears and polymer gears, and are the base circle radii of steel gears and polymer gears, and are the load torques of steel gears and polymer gears, is the helix angle of the gear system during transmission, is the normal time-varying mesh stiffness of the gear system, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system.
[0060] Optionally, the vibration force calculation module is further used to:
[0061] Based on the calculation formula of the tangential dynamic meshing force vibration displacement correlation relationship and the vibration displacement, the tangential dynamic meshing force of the gear system is obtained, and based on the calculation formula of the axial dynamic meshing force vibration displacement correlation relationship and the vibration displacement, the axial dynamic meshing force of the gear system is obtained, wherein the calculation formula of the tangential dynamic meshing force vibration displacement correlation relationship is:
[0062] ,
[0063] The calculation formula for the correlation relationship between the axial dynamic meshing force and the vibration displacement is:
[0064] ,
[0065] and are the tangential dynamic meshing force and axial dynamic meshing force of the gear system, is the helix angle of the gear system during transmission, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, is the normal time-varying mesh stiffness of the gear system, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, is the first-order derivative, and are the base circle radii of steel gears and polymer gears, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system.
[0066] Optionally, the vibration and noise evaluation module is further used to:
[0067] Based on the tangential dynamic meshing force, the axial dynamic meshing force, the load-bearing torque and the finite element simulation method, the vibration acceleration and the noise sound pressure level of the gear system during the transmission process are obtained, and the vibration and noise evaluation results are obtained based on the vibration acceleration and the noise sound pressure level, wherein the load-bearing torque includes the steel gear load-bearing torque and the polymer gear load-bearing torque.
[0068] Optionally, the vibration and noise evaluation module is further used to:
[0069] When the vibration acceleration is less than a preset vibration acceleration standard value, and the noise sound pressure level is less than a preset noise sound pressure standard level, the vibration noise evaluation result of the gear system meets the vibration noise performance requirements.
[0070] According to another aspect of the present application, a storage medium is provided, on which a computer program is stored, and when the program is executed by a processor, the above-mentioned gear vibration noise evaluation method is implemented.
[0071] According to another aspect of the present application, a computer device is provided, including a storage medium, a processor, and a computer program stored on the storage medium and executable on the processor, wherein the processor implements the above-mentioned gear vibration noise evaluation method when executing the program.
[0072] By means of the above technical scheme, the present application provides a gear vibration noise evaluation method and device, storage medium, and computer equipment, which obtain the gear parameters of the gear system, wherein the gear system includes steel gears and polymer gears that mesh with each other, and the gear parameters include the load-bearing torque of each steel gear and polymer gear; based on the gear parameters, the contact stiffness value of the gear system is calculated, and based on the gear parameters and the calculated contact stiffness value, the vibration displacement of the gear system during the transmission process is calculated; based on the correlation between the force and the vibration displacement of the gear system, the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate the aforementioned vibration displacement are obtained; based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, the vibration noise generation of the gear system during the transmission process is simulated, and the vibration noise evaluation result is obtained based on the simulated vibration noise generation. By calculating the contact stiffness value and simulating the vibration noise generation, the noise evaluation accuracy can be improved.
[0073] The above description is only an overview of the technical solution of the present application. In order to more clearly understand the technical means of the present application, it can be implemented in accordance with the contents of the specification. In order to make the above and other purposes, features and advantages of the present application more obvious and easy to understand, the specific implementation methods of the present application are listed below. BRIEF DESCRIPTION OF THE DRAWINGS
[0074] The drawings described herein are used to provide a further understanding of the present application and constitute a part of the present application. The illustrative embodiments of the present application and their descriptions are used to explain the present application and do not constitute an improper limitation on the present application. In the drawings:
[0075] Figure 1 A schematic diagram of a process flow of a gear vibration noise evaluation method provided in an embodiment of the present application is shown;
[0076] Figure 2 A schematic diagram of a gear system provided in an embodiment of the present application is shown;
[0077] Figure 3 A schematic flow chart of another gear vibration noise evaluation method provided in an embodiment of the present application is shown;
[0078] Figure 4 A schematic diagram of a contact stiffness value calculation process provided in an embodiment of the present application is shown;
[0079] Figure 5 A gear system dynamics model provided by an embodiment of the present application is shown;
[0080] Figure 6 A schematic structural diagram of a gear vibration noise evaluation device provided in an embodiment of the present application is shown. DETAILED DESCRIPTION
[0081] The present application will be described in detail below with reference to the accompanying drawings and in combination with embodiments. It should be noted that the embodiments and features in the embodiments of the present application can be combined with each other without conflict.
[0082] In this embodiment, a gear vibration noise evaluation method is provided. Figure 1 As shown, the method includes:
[0083] Step 101, obtaining gear parameters of a gear system, wherein the gear system includes steel gears and polymer gears meshing with each other, and the gear parameters include the load-bearing torques of the steel gears and the polymer gears respectively.
[0084] At present, the composite transmission devices of new energy vehicles mostly use gear systems composed of steel gears and polymer gears. Although the aforementioned gear systems show excellent comprehensive performance, there are still some problems in the application of new energy vehicle transmission systems: (1) Contact stiffness problems caused by strength verification. Gear strength verification needs to consider contact stiffness, but the gear system belongs to viscoelastic contact, the traditional Hertz contact theory is not applicable, and the change law of contact stiffness is unclear. (2) Viscoelastic coupling problems caused by the meshing process. Contact stiffness is part of the meshing stiffness. Affected by viscoelastic contact, the meshing process also has obvious viscoelastic dynamic characteristics, but the understanding of related dynamic coupling is not deep enough, and the dynamic analysis model is not accurate. The above problems will cause the vibration and noise characteristics and durability reliability of the gear system. These problems have become the key to restricting the further application of gear systems in high-end equipment such as new energy vehicles. Therefore, how to more accurately evaluate the vibration and noise characteristics of gear systems is very critical.
[0085] In the above embodiments of the present application, it can be applied to a novel composite transmission device, that is, a gear system composed of steel gears and polymer gears, such as Figure 2 As shown, it is composed of a steel gear and a polymer gear, and the steel gear and the polymer gear mesh with each other for transmission. In particular, the new composite transmission device can be applied to both pure electric vehicles and hybrid electric vehicles. The main feature of the device is the composite transmission of steel and polymer gears. Through the meshing of two gears of different materials, it can fully combine the high strength, high hardness, and wear resistance of steel with the lightweight, self-lubricating, and corrosion-resistant characteristics of polymer materials, give full play to their respective advantages, and realize power transmission. Specifically, first obtain the gear parameters of the gear system. The gear parameters include the load-bearing torque of the steel gear and the polymer gear, in preparation for the subsequent vibration and noise evaluation.
[0086] Step 102: Calculate the contact stiffness value of the gear system based on the gear parameters, and calculate the vibration displacement of the gear system during the transmission process based on the gear parameters and the calculated contact stiffness value.
[0087] Next, based on the gear parameters, the contact stiffness value of the gear system is calculated, and then based on the gear parameters and the calculated contact stiffness value, the vibration displacement of the gear system during the transmission process is calculated. Specifically, for example, with a steel gear as the active gear and a polymer gear as the driven gear, the contact stiffness value of the gear system can be calculated based on the Maugis-Dugdale contact theory model. The Maugis-Dugdale contact theory model is a viscoelastic contact model that can take into account the energy loss and local deformation characteristics in the actual contact process, thereby improving the calculation accuracy of the contact stiffness value.
[0088] Step 103: based on the correlation between the force and the vibration displacement of the gear system, obtain the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate the vibration displacement.
[0089] Next, based on the correlation between the force and the vibration displacement of the gear system, the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate the vibration displacement are obtained.
[0090] Step 104, based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, simulate the vibration and noise generation of the gear system during the transmission process, and obtain a vibration and noise evaluation result based on the simulated vibration and noise generation.
[0091] Finally, based on the tangential dynamic meshing force, axial dynamic meshing force and load-bearing torque, the vibration and noise generation of the gear system during the transmission process is simulated, and the vibration and noise evaluation results are obtained based on the simulated vibration and noise generation.
[0092] By applying the technical solution of this embodiment, the gear parameters of the gear system are obtained, wherein the gear system includes steel gears and polymer gears that mesh with each other, and the gear parameters include the load-bearing torques of the steel gears and the polymer gears respectively; based on the gear parameters, the contact stiffness value of the gear system is calculated, and based on the gear parameters and the calculated contact stiffness value, the vibration displacement of the gear system during the transmission process is calculated; based on the correlation between the force and the vibration displacement of the gear system, the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate vibration displacement are obtained; based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, the vibration noise generation of the gear system during the transmission process is simulated, and the vibration noise evaluation result is obtained based on the simulated vibration noise generation. By calculating the contact stiffness value and simulating the vibration noise generation, the noise evaluation accuracy can be improved.
[0093] Further, as a refinement and expansion of the specific implementation of the above embodiment, in order to fully illustrate the specific implementation process of this embodiment, another gear vibration noise evaluation method is provided, such as Figure 3 As shown, the method includes:
[0094] Step 201, obtaining gear parameters of a gear system, wherein the gear system includes steel gears and polymer gears meshing with each other, and the gear parameters include the load-bearing torque, compression stiffness value, bending stiffness value, shear stiffness value, tooth base stiffness value, mass and base circle radius of the steel gear and the polymer gear respectively, and the tooth width of the steel gear is different from that of the polymer gear.
[0095] In the above-mentioned embodiment of the present application, the gear parameters of the gear system are obtained in order to prepare for the subsequent noise evaluation of the gear system.
[0096] Step 202, based on the gear parameters and the contact stiffness value calculation formula, calculate the contact stiffness value of the gear system, wherein the contact stiffness value calculation formula is:
[0097] , , , ,
[0098] is the contact stiffness value of the gear system, is the elastic modulus of the steel gear, is the tooth width of the pinion in the gear system, is the Poisson's ratio of the steel gear, is the viscous contact force action radius when the steel gear contacts the polymer gear, is the equivalent radius of curvature of the gear system, is the process parameter in calculating the contact stiffness value, is the interfacial adhesion energy of the contact interface between steel gear and polymer gear, is the elastic modulus of the gear system, is the viscous contact force when the steel gear contacts the polymer gear, is the preset stress factor, is the elastic contact force action radius when the steel gear contacts the polymer gear.
[0099] Next, based on the gear parameters and the contact stiffness calculation formula, the contact stiffness of the gear system is calculated. Specifically, the contact stiffness can be calculated based on the Maugis-Dugdale contact theory model.
[0100] The Maugis-Dugdale contact theory model is a viscoelastic contact model that can take into account the energy loss and local deformation characteristics in the actual contact process. The mathematical expression of the Maugis-Dugdale contact theory model is: , is the net contact force of the gear system, which is the vector sum of the forces between the two objects (steel gear and polymer gear) when they are in contact, is the elastic contact force when the steel gear contacts the polymer gear, is the viscous contact force when the steel gear contacts the polymer gear.
[0101] Elastic contact force It can be expressed as: , is the elastic modulus of the gear system, is the elastic contact force action radius when the steel gear contacts the polymer gear, is the equivalent radius of curvature of the gear system.
[0102] Viscous contact force It can be expressed as: , is the preset stress factor, is the viscous contact force action radius when the steel gear contacts the polymer gear, is the elastic contact force action radius when the steel gear contacts the polymer gear.
[0103] To solve , and , which can be substituted into the gear parameters. In addition, the elastic contact force Also related to the elastic modulus of the gear system , Elastic contact force action radius when steel gear contacts polymer gear and the equivalent radius of curvature of the gear system Regarding, specifically:
[0104] , , ,
[0105] is the elastic modulus of the gear system, and are the elastic modulus of steel gears and the elastic modulus of polymer gears, and are the Poisson's ratio of steel gears and the Poisson's ratio of polymer gears, is the elastic contact force action radius when the steel gear contacts the polymer gear, is the equivalent radius of curvature of the gear system, and They are the radius of the steel gear and the polymer gear from the center of their respective gears when they are in contact along the meshing line, which change periodically with time.
[0106] Viscous contact force Elastic contact force radius , Viscous contact force action radius Related, expressed as:
[0107] , ,
[0108] is the viscous contact force action radius when the steel gear contacts the polymer gear, is the elastic contact force action radius when the steel gear contacts the polymer gear, is the net contact force of the gear system, is the viscous zone width of the gear system, is the fracture energy of the gear system, i.e. the ability to resist crack propagation, is the elastic modulus of the gear system.
[0109] Next, based on the Maugis-Dugdale contact theory model, the Dugdale key parameters, i.e., process parameters, are solved. :
[0110] ,
[0111] is the process parameter in calculating the contact stiffness value, is the equivalent radius of curvature of the gear system, is the elastic modulus of the gear system, where is the interfacial adhesion energy of the contact interface between the steel gear and the polymer gear, which can be expressed by To obtain, is the viscous contact force when the steel gear contacts the polymer gear, is the radius of action of the viscous contact force when the steel gear contacts the polymer gear.
[0112] Finally, the contact stiffness value It can be calculated by the following formula:
[0113] ,
[0114] is the contact stiffness value of the gear system, is the elastic modulus of the steel gear, is the tooth width of the pinion in the gear system, is the Poisson's ratio of the steel gear, is the viscous contact force action radius when the steel gear contacts the polymer gear, is the equivalent radius of curvature of the gear system, It is a process parameter in the process of calculating the contact stiffness value. In the process of gear system rotation meshing, due to the equivalent curvature radius of the steel gear and the polymer gear contact body Presents periodic changes, therefore, the contact stiffness value of the gear system is a value that changes periodically over time.
[0115] Specifically, Figure 4 As shown, first determine the net contact force And key components: elastic contact force , Viscous contact force , substituting the gear parameters, determine the elastic contact force And its key parameters: elastic modulus , elastic contact force action radius , equivalent radius of curvature , and then determine the viscous contact force And its key parameters: elastic contact force action radius , Viscous contact force action radius , solve process parameters , and finally obtain the contact stiffness value . By establishing the stress-strain relationship of the gear system, the viscoelastic stress composition of polymer materials and steel is clarified. Based on the Maugis-Dugdale contact theory model, the viscoelastic composition of the contact force when the steel gear and the polymer gear are in contact in the gear system is analyzed, the stress distribution and strain size in the contact area are solved, and finally the contact stiffness value of the gear system is calculated, which can improve the calculation accuracy of the contact stiffness value, thereby further improving the accuracy of noise evaluation.
[0116] Step 203, based on the normal time-varying meshing stiffness value calculation formula, the contact stiffness value and the gear parameters, the normal time-varying meshing stiffness value of the gear system is calculated, wherein the normal time-varying meshing stiffness value calculation formula is:
[0117] ,
[0118] is the normal time-varying mesh stiffness of the gear system, and are the compression stiffness values of steel gears and polymer gears, and are the bending stiffness values of steel gears and polymer gears, and are the shear stiffness values of steel gears and the compression stiffness values of polymer gears, and are the tooth base stiffness values of steel gears and polymer gears, is the contact stiffness value of the gear system.
[0119] Next, based on the calculation formula of normal time-varying mesh stiffness, contact stiffness and gear parameters, the normal time-varying mesh stiffness of the gear system is calculated. The process not only includes contact stiffness, but also tooth base stiffness, bending stiffness, shear stiffness and compression stiffness. By carrying out viscoelastic coupling dynamic modeling of the gear system according to the contact stiffness value of the gear system, it is possible to carry out meshing stiffness analysis of the gear system around the torsional vibration dynamic phenomenon of the gear system meshing process, integrate contact stiffness, tooth base stiffness, bending stiffness, shear stiffness, and compression stiffness, clarify elastic dynamic characteristics, and carry out meshing damping analysis of the gear set, integrate material damping and lubrication damping, clarify viscous dynamic characteristics, and carry out load analysis of the gear system to clarify the coupling mechanism of dynamic meshing force, tooth surface friction, and external input force, in preparation for subsequent noise evaluation.
[0120] Step 204, based on the normal time-varying meshing stiffness value, the gear parameters and the vibration displacement calculation formula, the vibration displacement of the gear system during the transmission process is calculated, wherein the vibration displacement includes the translational vibration displacement of the steel gear and the polymer gear along the y-axis direction, the translational vibration displacement along the z-axis direction and the angular vibration displacement during the transmission process, and the vibration displacement calculation formula is:
[0121] ,
[0122] ,
[0123] ,
[0124] ,
[0125] ,
[0126] ,
[0127] and are the masses of the steel gear and the polymer, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, and are the first and second order derivatives, respectively, , , and The preset translational vibration damping coefficients in the tangential and axial directions of steel gears and the preset translational vibration damping coefficients in the tangential and axial directions of polymer gears are respectively: , , and The preset translational vibration stiffness coefficients in the tangential and axial directions of the steel gear and the preset translational vibration stiffness coefficients in the tangential and axial directions of the polymer gear are respectively: and are the moments of inertia of steel gears and polymer gears, and are the base circle radii of steel gears and polymer gears, and are the load torques of steel gears and polymer gears, is the helix angle of the gear system during transmission, is the normal time-varying mesh stiffness of the gear system, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system.
[0128] Next, based on the normal time-varying meshing stiffness value, gear parameters and vibration displacement calculation formula, the vibration displacement of the gear system during the transmission process is calculated. The vibration displacement includes the translational vibration displacement of the steel gear and the polymer gear along the y-axis direction, the translational vibration displacement along the z-axis direction and the angular vibration displacement during the transmission process. Based on the torsional vibration dynamics phenomenon of the meshing process of the gear system, the concentrated parameter modeling method is adopted, and the viscoelastic contact characteristics, the tangential-axial-torsional multi-degree-of-freedom force of the helical gear, and the low friction coefficient of the tooth surface are considered to establish a gear system dynamics model. For example, Figure 5 As shown, Figure 5 middle and are the center points of the steel gear and the polymer gear, and are the moments of inertia of steel gears and polymer gears, and are the masses of the steel gear and the polymer, and are the load torques of steel gears and polymer gears, , , and The preset translational vibration damping coefficients in the tangential and axial directions of steel gears and the preset translational vibration damping coefficients in the tangential and axial directions of polymer gears are respectively: , , and The tangential and axial translational vibration stiffness coefficients of the steel gear are preset. The gear system is a 6-DOF system, and the generalized displacement array of the gear system can be expressed as: , and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and They are the angular vibration displacements of steel gears and polymer gears during transmission, respectively.
[0129] Step 205, based on the calculation formula of the tangential dynamic meshing force vibration displacement correlation relationship and the vibration displacement, the tangential dynamic meshing force of the gear system is obtained, and based on the calculation formula of the axial dynamic meshing force vibration displacement correlation relationship and the vibration displacement, the axial dynamic meshing force of the gear system is obtained, wherein the calculation formula of the tangential dynamic meshing force vibration displacement correlation relationship is:
[0130] ,
[0131] The calculation formula for the correlation relationship between the axial dynamic meshing force and the vibration displacement is:
[0132] ,
[0133] and are the tangential dynamic meshing force and axial dynamic meshing force of the gear system, is the helix angle of the gear system during transmission, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, is the normal time-varying mesh stiffness of the gear system, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, is the first-order derivative, and are the base circle radii of steel gears and polymer gears, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system.
[0134] Next, based on the calculation formula of the tangential dynamic meshing force and the vibration displacement correlation relationship and the vibration displacement, the tangential dynamic meshing force of the gear system is obtained, and based on the calculation formula of the axial dynamic meshing force and the vibration displacement correlation relationship and the vibration displacement, the axial dynamic meshing force of the gear system is obtained.
[0135] Step 206: Based on the tangential dynamic meshing force, the axial dynamic meshing force, the load-bearing torque and a finite element simulation method, obtain the vibration acceleration and the noise sound pressure level of the gear system during the transmission process.
[0136] Step 207: When the vibration acceleration is less than the preset vibration acceleration standard value, and the noise sound pressure level is less than the preset noise sound pressure standard level, the vibration noise evaluation result of the gear system meets the vibration noise performance requirements.
[0137] Next, based on the tangential dynamic meshing force, axial dynamic meshing force, load torque and finite element simulation method, the vibration acceleration and noise sound pressure level of the gear system during the transmission process are obtained. When the vibration acceleration is less than the preset vibration acceleration standard value, and the noise sound pressure level is less than the preset noise sound pressure standard level, the vibration and noise evaluation result of the gear system meets the vibration and noise performance requirements. Specifically, the vibration response of the composite transmission device can be solved according to the dynamic model of the gear system. Based on the dynamic model of the gear system, a dynamic response simulation model of the gear box consisting of a gear system, a transmission shaft, bearings, and a housing is constructed. The state space method is used to solve the change process of each state variable of the gear set, and then the tangential and axial dynamic meshing forces between the gear sets are solved based on each state variable. As the excitation source input, engineering mechanics and finite element methods are used to calculate the vibration response simulation results of the transmission shaft and the housing. Finally, according to the vibration response solution, the housing vibration acceleration (unit: m / s 2 ) and the transmission near-field noise sound pressure level (dB) are used as specific indicators to evaluate the vibration and noise performance of the new composite transmission (i.e., gear system), and further optimize and improve the transmission configuration and gear design parameters based on the evaluation results. That is, the generalized displacement array of the gear system is solved. , and further derive the tangential dynamic meshing force of the gear system , axial dynamic meshing force And the steel gears carry the torque and polymer gears carry torque , and then loaded into the finite element model node composed of the bearing and the shell, and analyzed by the finite element method, the shell vibration acceleration (unit: m / s 2), the transmission near-field noise sound pressure level (in dB), and thus obtain the vibration response results. Finally, the vibration and noise performance of the new composite transmission (i.e., gear system) is evaluated. Generally, for passenger car transmissions, the maximum vibration acceleration of the housing is less than 10m / s 2 , the near-field noise sound pressure level at a distance of 1m is lower than 80dB. If both indicators are met, the transmission vibration and noise performance fully meets the requirements of passenger cars. If only one indicator is less than the evaluation indicator, the transmission vibration and noise performance basically meets the requirements of passenger cars. If both indicators are greater than or equal to the evaluation indicator, the transmission vibration and noise performance does not meet the requirements of passenger cars.
[0138] By applying the technical solution of this embodiment, the gear parameters of the gear system are obtained, the contact stiffness value of the gear system is calculated, and then the normal time-varying meshing stiffness value is calculated to obtain the vibration displacement of the gear system during the transmission process. Based on the vibration displacement, the tangential dynamic meshing force and the axial dynamic meshing force of the gear system are obtained, and then according to the finite element simulation method, the vibration acceleration and noise sound pressure level of the gear system during the transmission process are obtained. When the vibration acceleration is less than the preset vibration acceleration standard value, and the noise sound pressure level is less than the preset noise sound pressure standard level, the vibration noise evaluation result of the gear system meets the vibration noise performance requirements. The gear system combines the high strength, high hardness, and wear resistance of steel with the lightweight, self-lubricating, and corrosion-resistant characteristics of polymer materials, which helps to give full play to the advantages of their respective materials and develop a new composite transmission system. The dynamic characteristics of the gear system and its application in the power system of new energy vehicles can effectively reduce the weight of the transmission device, improve the power density, reduce vibration and noise, achieve energy saving and consumption reduction of the whole vehicle and improve comfort, promote the high-end, intelligent, and green development of the manufacturing industry, and have important engineering needs and economic value. On this basis, the noise evaluation accuracy can be improved by calculating the contact stiffness value and simulating the generation of vibration noise.
[0139] Further, as Figure 1 The specific implementation of the method, the embodiment of the present application provides a gear vibration noise evaluation device, such as Figure 6 As shown, the device comprises:
[0140] The gear parameter acquisition module 301 is used to acquire gear parameters of a gear system, wherein the gear system includes steel gears and polymer gears meshing with each other, and the gear parameters include the bearing torque of each of the steel gear and the polymer gear;
[0141] A vibration process quantity calculation module 302 is used to calculate the contact stiffness value of the gear system based on the gear parameters, and to calculate the vibration displacement of the gear system during the transmission process based on the gear parameters and the calculated contact stiffness value;
[0142] A vibration force calculation module 303 is used to obtain the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate the vibration displacement based on the correlation between the force and the vibration displacement of the gear system;
[0143] The vibration and noise evaluation module 304 is used to simulate the vibration and noise generation of the gear system during the transmission process based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, and obtain a vibration and noise evaluation result based on the simulated vibration and noise generation.
[0144] Optionally, the tooth widths of the steel gear and the polymer gear are different, and the vibration process quantity calculation module 302 is further used for:
[0145] Based on the gear parameters and the contact stiffness value calculation formula, the contact stiffness value of the gear system is calculated, wherein the contact stiffness value calculation formula is:
[0146] , , , ,
[0147] is the contact stiffness value of the gear system, is the elastic modulus of the steel gear, is the tooth width of the pinion in the gear system, is the Poisson's ratio of the steel gear, is the viscous contact force action radius when the steel gear contacts the polymer gear, is the equivalent radius of curvature of the gear system, is the process parameter in calculating the contact stiffness value, is the interfacial adhesion energy of the contact interface between steel gear and polymer gear, is the elastic modulus of the gear system, is the viscous contact force when the steel gear contacts the polymer gear, is the preset stress factor, is the elastic contact force action radius when the steel gear contacts the polymer gear.
[0148] Optionally, the gear parameters include compression stiffness values, bending stiffness values, shear stiffness values and tooth base stiffness values of the steel gear and the polymer gear respectively; the vibration process quantity calculation module 302 is further used for:
[0149] Based on the normal time-varying meshing stiffness value calculation formula, the contact stiffness value and the gear parameters, the normal time-varying meshing stiffness value of the gear system is calculated, and based on the normal time-varying meshing stiffness value and the gear parameters, the vibration displacement of the gear system during the transmission process is calculated, wherein the normal time-varying meshing stiffness value calculation formula is:
[0150] ,
[0151] is the normal time-varying mesh stiffness of the gear system, and are the compression stiffness values of steel gears and polymer gears, and are the bending stiffness values of steel gears and polymer gears, and are the shear stiffness values of steel gears and the compression stiffness values of polymer gears, and are the tooth base stiffness values of steel gears and polymer gears, is the contact stiffness value of the gear system.
[0152] Optionally, the gear parameters include the mass and base circle radius of the steel gear and the polymer gear, the vibration displacement includes the translational vibration displacement of the steel gear and the polymer gear along the y-axis direction, the translational vibration displacement along the z-axis direction and the angular vibration displacement during the transmission process, and the vibration process quantity calculation module 302 is further used to:
[0153] Based on the normal time-varying meshing stiffness value, the gear parameters and the vibration displacement calculation formula, the vibration displacement of the gear system during the transmission process is calculated, wherein the vibration displacement calculation formula is:
[0154] ,
[0155] ,
[0156] ,
[0157] ,
[0158] ,
[0159] ,
[0160] and are the masses of the steel gear and the polymer, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, and are the first and second order derivatives, respectively, , , and The preset translational vibration damping coefficients in the tangential and axial directions of steel gears and the preset translational vibration damping coefficients in the tangential and axial directions of polymer gears are respectively: , , and The preset translational vibration stiffness coefficients in the tangential and axial directions of the steel gear and the preset translational vibration stiffness coefficients in the tangential and axial directions of the polymer gear are respectively: and are the moments of inertia of steel gears and polymer gears, and are the base circle radii of steel gears and polymer gears, and are the load torques of steel gears and polymer gears, is the helix angle of the gear system during transmission, is the normal time-varying mesh stiffness of the gear system, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system.
[0161] Optionally, the vibration force calculation module 303 is further used for:
[0162] Based on the calculation formula of the tangential dynamic meshing force vibration displacement correlation relationship and the vibration displacement, the tangential dynamic meshing force of the gear system is obtained, and based on the calculation formula of the axial dynamic meshing force vibration displacement correlation relationship and the vibration displacement, the axial dynamic meshing force of the gear system is obtained, wherein the calculation formula of the tangential dynamic meshing force vibration displacement correlation relationship is:
[0163] ,
[0164] The calculation formula for the correlation relationship between the axial dynamic meshing force and the vibration displacement is:
[0165] ,
[0166] and are the tangential dynamic meshing force and axial dynamic meshing force of the gear system, is the helix angle of the gear system during transmission, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, is the normal time-varying mesh stiffness of the gear system, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, is the first-order derivative, and are the base circle radii of steel gears and polymer gears, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system.
[0167] Optionally, the vibration noise evaluation module 304 is further used to:
[0168] Based on the tangential dynamic meshing force, the axial dynamic meshing force, the load-bearing torque and the finite element simulation method, the vibration acceleration and the noise sound pressure level of the gear system during the transmission process are obtained, and the vibration and noise evaluation results are obtained based on the vibration acceleration and the noise sound pressure level, wherein the load-bearing torque includes the steel gear load-bearing torque and the polymer gear load-bearing torque.
[0169] Optionally, the vibration noise evaluation module 304 is further used to:
[0170] When the vibration acceleration is less than a preset vibration acceleration standard value, and the noise sound pressure level is less than a preset noise sound pressure standard level, the vibration noise evaluation result of the gear system meets the vibration noise performance requirements.
[0171] It should be noted that for other corresponding descriptions of the functional units involved in the gear vibration noise evaluation device provided in the embodiment of the present application, reference can be made to Figure 1 and Figure 3 The corresponding description in the method will not be repeated here.
[0172] Based on the above Figure 1 and Figure 3The method shown in the embodiment of the present application is accordingly provided with a storage medium on which a computer program is stored, and when the computer program is executed by a processor, the above-mentioned Figure 1 and Figure 3 Gear vibration noise evaluation method shown.
[0173] Based on this understanding, the technical solution of the present application can be embodied in the form of a software product, which can be stored in a non-volatile storage medium (which can be a CD-ROM, a USB flash drive, a mobile hard disk, etc.), and includes a number of instructions for enabling a computer device (which can be a personal computer, a server, or a network device, etc.) to execute the methods described in each implementation scenario of the present application.
[0174] Based on the above Figure 1 and Figure 3 The method shown, and Figure 6 In order to achieve the above-mentioned purpose, the embodiment of the present application further provides a computer device, which can be a personal computer, a server, a network device, etc. The computer device includes a storage medium and a processor; the storage medium is used to store a computer program; the processor is used to execute the computer program to achieve the above-mentioned Figure 1 and Figure 3 Gear vibration noise evaluation method shown.
[0175] Optionally, the computer device may also include a user interface, a network interface, a camera, a radio frequency (RF) circuit, a sensor, an audio circuit, a WI-FI module, etc. The user interface may include a display, an input unit such as a keyboard, etc., and the optional user interface may also include a USB interface, a card reader interface, etc. The network interface may optionally include a standard wired interface, a wireless interface (such as a Bluetooth interface, a WI-FI interface), etc.
[0176] Those skilled in the art will appreciate that the computer device structure provided in this embodiment does not limit the computer device, and may include more or fewer components, or a combination of certain components, or different component arrangements.
[0177] The storage medium may also include an operating system and a network communication module. The operating system is a program that manages and saves the hardware and software resources of the computer device, and supports the operation of information processing programs and other software and / or programs. The network communication module is used to realize communication between the components inside the storage medium, and communication with other hardware and software in the physical device.
[0178] Through the description of the above implementation methods, the technicians in this field can clearly understand that the present application can be implemented by means of software plus the necessary general hardware platform, or the gear parameters of the gear system can be obtained by hardware, wherein the gear system includes steel gears and polymer gears that mesh with each other, and the gear parameters include the load-bearing torque of the steel gears and the polymer gears; based on the gear parameters, the contact stiffness value of the gear system is calculated, and based on the gear parameters and the calculated contact stiffness value, the vibration displacement of the gear system during the transmission process is calculated; based on the correlation between the force and the vibration displacement of the gear system, the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate vibration displacement are obtained; based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, the vibration noise generation of the gear system during the transmission process is simulated, and the vibration noise evaluation result is obtained based on the simulated vibration noise generation. By calculating the contact stiffness value and simulating the vibration noise generation, the noise evaluation accuracy can be improved.
[0179] Those skilled in the art will appreciate that the accompanying drawings are only schematic diagrams of a preferred implementation scenario, and the modules or processes in the accompanying drawings are not necessarily necessary for implementing the present application. Those skilled in the art will appreciate that the modules in the devices in the implementation scenario can be distributed in the devices of the implementation scenario according to the description of the implementation scenario, or can be changed accordingly and located in one or more devices different from the present implementation scenario. The modules of the above-mentioned implementation scenario can be combined into one module, or can be further split into multiple submodules.
[0180] The above serial numbers of this application are only for description and do not represent the advantages and disadvantages of the implementation scenarios. The above disclosure is only a few specific implementation scenarios of this application, but this application is not limited to them, and any changes that can be thought of by technicians in this field should fall within the scope of protection of this application.
Claims
1. A gear vibration noise evaluation method, It is characterized in that The method comprises: Obtaining gear parameters of a gear system, wherein the gear system comprises steel gears and polymer gears meshing with each other, the gear parameters comprise the bearing torque of each of the steel gears and the polymer gears, the gear parameters comprise the compression stiffness value, bending stiffness value, shear stiffness value and tooth base stiffness value of each of the steel gears and the polymer gears, and the gear parameters comprise the mass and base circle radius of each of the steel gears and the polymer gears; Based on the gear parameters, the contact stiffness value of the gear system is calculated, and based on the normal time-varying meshing stiffness value calculation formula, the contact stiffness value and the gear parameters, the normal time-varying meshing stiffness value of the gear system is calculated, wherein the normal time-varying meshing stiffness value calculation formula is: , is the normal time-varying mesh stiffness of the gear system, and are the compression stiffness values of steel gears and polymer gears, and are the bending stiffness values of steel gears and polymer gears, and are the shear stiffness of steel gears and the compression stiffness of polymer gears, and are the tooth base stiffness values of steel gears and polymer gears, is the contact stiffness value of the gear system; Based on the normal time-varying meshing stiffness value, the gear parameters and the vibration displacement calculation formula, the vibration displacement of the gear system during the transmission process is calculated, wherein the vibration displacement includes the translational vibration displacement of the steel gear and the polymer gear along the y-axis direction, the translational vibration displacement along the z-axis direction and the angular vibration displacement during the transmission process, and the vibration displacement calculation formula is: , , , , , , and are the masses of the steel gear and the polymer, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, and are the first and second order derivatives, respectively, , , and The preset translational vibration damping coefficients in the tangential and axial directions of steel gears and the preset translational vibration damping coefficients in the tangential and axial directions of polymer gears are respectively: , , and The preset translational vibration stiffness coefficients in the tangential and axial directions of the steel gear and the preset translational vibration stiffness coefficients in the tangential and axial directions of the polymer gear are respectively: and are the moments of inertia of steel gears and polymer gears, and are the base circle radii of steel gears and polymer gears, and are the load torques of steel gears and polymer gears, is the helix angle of the gear system during transmission, is the normal time-varying mesh stiffness of the gear system, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system; Based on the correlation between the force and vibration displacement of the gear system, the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate the vibration displacement are obtained; Based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, the vibration and noise generation of the gear system during the transmission process is simulated, and a vibration and noise evaluation result is obtained based on the simulated vibration and noise generation.
2. The method according to claim 1, It is characterized in that The tooth widths of the steel gear and the polymer gear are different. The contact stiffness value of the gear system is calculated based on the gear parameters, including: Based on the gear parameters and the contact stiffness value calculation formula, the contact stiffness value of the gear system is calculated, wherein the contact stiffness value calculation formula is: , , , , is the contact stiffness value of the gear system, is the elastic modulus of the steel gear, is the tooth width of the pinion in the gear system, is the Poisson's ratio of the steel gear, is the viscous contact force action radius when the steel gear contacts the polymer gear, is the equivalent radius of curvature of the gear system, is the process parameter in calculating the contact stiffness value, is the interfacial adhesion energy of the contact interface between steel gear and polymer gear, is the elastic modulus of the gear system, is the viscous contact force when the steel gear contacts the polymer gear, is the preset stress factor, is the elastic contact force action radius when the steel gear contacts the polymer gear.
3. The method according to claim 1, It is characterized in that The obtaining of the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate the vibration displacement based on the correlation between the force and the vibration displacement of the gear system includes: Based on the calculation formula of the tangential dynamic meshing force vibration displacement correlation relationship and the vibration displacement, the tangential dynamic meshing force of the gear system is obtained, and based on the calculation formula of the axial dynamic meshing force vibration displacement correlation relationship and the vibration displacement, the axial dynamic meshing force of the gear system is obtained, wherein the calculation formula of the tangential dynamic meshing force vibration displacement correlation relationship is: , The calculation formula for the correlation relationship between the axial dynamic meshing force and the vibration displacement is: , and are the tangential dynamic meshing force and axial dynamic meshing force of the gear system, is the helix angle of the gear system during transmission, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, is the normal time-varying mesh stiffness of the gear system, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, is the first-order derivative, and are the base circle radii of steel gears and polymer gears, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system.
4. The method according to any one of claims 1 to 3, It is characterized in that The simulation of the vibration and noise generated by the gear system during the transmission process based on the tangential dynamic meshing force, the axial dynamic meshing force and the load torque, and obtaining a vibration and noise evaluation result based on the simulated vibration and noise generation, includes: Based on the tangential dynamic meshing force, the axial dynamic meshing force, the load-bearing torque and the finite element simulation method, the vibration acceleration and the noise sound pressure level of the gear system during the transmission process are obtained, and the vibration and noise evaluation results are obtained based on the vibration acceleration and the noise sound pressure level, wherein the load-bearing torque includes the steel gear load-bearing torque and the polymer gear load-bearing torque.
5. The method according to claim 4, It is characterized in that The obtaining of the vibration noise evaluation result based on the vibration acceleration and the noise sound pressure level includes: When the vibration acceleration is less than a preset vibration acceleration standard value, and the noise sound pressure level is less than a preset noise sound pressure standard level, the vibration noise evaluation result of the gear system meets the vibration noise performance requirements.
6. A gear vibration noise evaluation device, It is characterized in that The device comprises: A gear parameter acquisition module, used to acquire gear parameters of a gear system, wherein the gear system includes steel gears and polymer gears meshing with each other, the gear parameters include the load-bearing torque of the steel gears and the polymer gears, the gear parameters include the compression stiffness value, bending stiffness value, shear stiffness value and tooth base stiffness value of the steel gears and the polymer gears, and the gear parameters include the mass and base circle radius of the steel gears and the polymer gears; The vibration process quantity calculation module is used to calculate the contact stiffness value of the gear system based on the gear parameters, and calculate the normal time-varying meshing stiffness value of the gear system based on the normal time-varying meshing stiffness value calculation formula, the contact stiffness value and the gear parameters, wherein the normal time-varying meshing stiffness value calculation formula is: , is the normal time-varying mesh stiffness of the gear system, and are the compression stiffness values of steel gears and polymer gears, and are the bending stiffness values of steel gears and polymer gears, and are the shear stiffness of steel gears and the compression stiffness of polymer gears, and are the tooth base stiffness values of steel gears and polymer gears, is the contact stiffness value of the gear system; The vibration process quantity calculation module is also used to calculate the vibration displacement of the gear system during the transmission process based on the normal time-varying meshing stiffness value, the gear parameters and the vibration displacement calculation formula, wherein the vibration displacement includes the translational vibration displacement of the steel gear and the polymer tooth along the y-axis direction, the translational vibration displacement along the z-axis direction and the angular vibration displacement during the transmission process, and the vibration displacement calculation formula is: , , , , , , and are the masses of the steel gear and the polymer, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the y-axis direction, and are the translational vibration displacements of the center points of the steel gear and the polymer gear along the z-axis, and are the angular vibration displacements of steel gears and polymer gears during transmission, and are the first and second order derivatives, respectively, , , and The preset translational vibration damping coefficients in the tangential and axial directions of steel gears and the preset translational vibration damping coefficients in the tangential and axial directions of polymer gears are respectively: , , and The preset translational vibration stiffness coefficients in the tangential and axial directions of the steel gear and the preset translational vibration stiffness coefficients in the tangential and axial directions of the polymer gear are respectively: and are the moments of inertia of steel gears and polymer gears, and are the base circle radii of steel gears and polymer gears, and are the load torques of steel gears and polymer gears, is the helix angle of the gear system during transmission, is the normal time-varying mesh stiffness of the gear system, and are the tangential meshing error and axial meshing error in the transmission process of the gear system, It is the normal meshing damping during the transmission process of the gear system; A vibration force calculation module, for obtaining the tangential dynamic meshing force and the axial dynamic meshing force that cause the gear system to generate the vibration displacement based on the correlation between the force and the vibration displacement of the gear system; The vibration and noise evaluation module is used to simulate the vibration and noise generation of the gear system during the transmission process based on the tangential dynamic meshing force, the axial dynamic meshing force and the load-bearing torque, and obtain a vibration and noise evaluation result based on the simulated vibration and noise generation.
7. A storage medium having a computer program stored thereon, It is characterized in that When the computer program is executed by a processor, the method for evaluating gear vibration noise according to any one of claims 1 to 5 is implemented.
8. A computer device comprising a storage medium, a processor, and a computer program stored on the storage medium and executable on the processor, It is characterized in that When the processor executes the computer program, the method for evaluating gear vibration noise according to any one of claims 1 to 5 is implemented.
Citation Information
Cited By
Lightweight high-strength polymer-based water-lubricated gear and preparation method thereof
CN119823558A
