CN-121413321-B - Tooth surface meshing friction heat-stress-abrasion coupling modeling and analyzing method

CN121413321BCN 121413321 BCN121413321 BCN 121413321BCN-121413321-B

Abstract

The invention discloses a tooth surface meshing friction heat-stress-abrasion coupling modeling and analyzing method, and belongs to the technical field of mechanical transmission. According to the method, a gear steady-state temperature field model is established, the influence of temperature on contact stress is analyzed by adopting a thermal-mechanical sequential coupling method, dynamic simulation of a wear process is realized by combining an ALE self-adaptive grid technology based on Arcard wear theory, and the coupling behaviors of temperature, stress and wear in the gear meshing process under different lubrication conditions can be accurately predicted.

Inventors

WANG HONGBING
YAN CAN
XIAO ZELIANG
SU JIE
HU XIAOLAN

Assignees

长沙理工大学

Dates

Publication Date: 20260508
Application Date: 20250928

Claims (4)

1. The tooth surface engagement friction heat-stress-abrasion coupling modeling and analyzing method is characterized by comprising the following steps of: step S1, establishing a gear steady-state temperature field model, dividing the gear tooth surface into a plurality of areas and respectively defining thermal boundary conditions; S2, carrying out contact stress analysis by taking a temperature field as an input condition based on a thermal-mechanical sequential coupling method; step S3, a dynamic abrasion model is established based on an Archard abrasion theory, and real-time simulation of an abrasion process is realized by combining an ALE self-adaptive grid technology and UMESHMOTION subprograms; s4, analyzing the influences of friction coefficients and convective heat transfer coefficients on a temperature field, a stress field and a wear depth under different lubrication conditions; Establishing the gear steady-state temperature field model comprises the following steps: dividing the surface of the gear tooth into a meshing surface, an end surface, a tooth top/tooth root and a non-meshing surface, and a contact surface of two gear teeth and a bottom surface of the gear; The frictional heat flow density and the convective heat transfer boundary conditions are applied to the meshing surface at the same time, the convective heat transfer or adiabatic boundary conditions are applied to other areas, and the area division and the thermal boundary conditions are as follows: the gear tooth surface area includes: the engagement surface is The boundary condition is friction heat flow input and convection heat exchange, and the boundary condition is expressed as the following formula: ; Wherein, the The friction heat flux density of the engagement surface; Is the thermal conductivity coefficient of the gear; The differential represents the temperature gradient of the convection heat exchange surface of the gear along the normal direction; Is that Zone convective heat transfer coefficients; the temperature of the gear body is set; Is that Zone convection heat transfer medium temperature; the end face is The areas, tooth tops/tooth roots and non-engagement surfaces are Zone, boundary condition is convective heat transfer, expressed by the following formula: ; ; Wherein, the Is that Zone convective heat transfer coefficients; Is that Zone convective heat transfer coefficients; Is that Zone convection heat transfer medium temperature; The contact surface of the two gear teeth and the bottom surface of the gear are f areas, the boundary condition is adiabatic, and ; Friction heat flux density of engagement surface The calculation formula of (2) is as follows: ; Wherein, the Is the friction work-to-heat coefficient; is the coefficient of friction; Is the average contact pressure of the tooth surface; at relative sliding speed, average contact pressure of tooth surface The calculation formula of (2) is as follows: ; Wherein, the Is a gear tooth load; An effective contact length for gear engagement; 、 The contact radius of cylinders of the driving wheels and the driven wheels respectively; 、 And 、 The elastic modulus and the poisson ratio of the driving wheel and the driven wheel are respectively; The thermo-mechanical sequential coupling method comprises: Firstly, independently solving a temperature field; inputting the temperature field result as a known condition into a contact stress analysis model; in step S3, the dynamic wear model is based on the Archard formula: ; Wherein, the Is the first Node after secondary circulation Is a cumulative wear depth of (a); Is the wear coefficient; Is the contact pressure; Is a sliding displacement increment; is a coefficient of the number of cycles.
2. The method of claim 1, wherein the real-time updating and geometric adjustment of the grid during wear is accomplished using ABAQUS software in combination with UMESHMOTION subroutines and ALE adaptive grid techniques.
3. The method of claim 1, wherein the lubrication conditions include fluid lubrication, mixed lubrication, boundary lubrication, and dry friction, each of which is set with a different coefficient of friction, coefficient of convective heat transfer, and coefficient of wear.
4. The method of claim 1, further comprising performing a multi-tooth contact analysis of the gear pair by finite element software, selecting one pair of gear teeth as a subject, setting a temperature-displacement coupling analysis step, and meshing with a C3D8T cell type.

Description

Tooth surface meshing friction heat-stress-abrasion coupling modeling and analyzing method Technical Field The invention belongs to the technical field of mechanical transmission, and particularly relates to a tooth surface meshing friction heat-stress-abrasion coupling modeling and analyzing method. Background In a gear transmission system, tooth surface contact stress, contact temperature and frictional wear are key factors influencing service performance and failure modes of gears, and complex coupling effects exist among the tooth surface contact stress, the contact temperature and the frictional wear. Prior art analysis of gear transmissions has focused on a single physical field, such as only contact stress distribution or temperature field distribution, and has failed to fully integrate the interaction mechanisms between the three. In the actual working condition, friction heat is generated on the gear meshing surface due to relative sliding, so that the temperature of the tooth surface is increased, the material is further softened and the gear is thermally expanded, the contact stress distribution is obviously changed, the abrasion behavior is further influenced, meanwhile, the contact morphology is changed due to tooth surface abrasion, and the distribution of the contact stress and the temperature field is adversely influenced. The neglect of the multi-physical field coupling effect makes it difficult for the existing analysis method to accurately predict the performance evolution and the service life of the gear in actual operation. Therefore, it is necessary to provide a modeling and analyzing method capable of simultaneously considering the coupling effect among the tooth surface temperature field, the stress field and the wear field, so as to reflect the complex behavior in the gear meshing process more truly and provide theoretical basis for gear design, lubrication optimization and life prediction. Disclosure of Invention The invention provides a tooth surface meshing friction heat-stress-abrasion coupling modeling and analyzing method, which is characterized in that a gear steady-state temperature field model is established, the influence of temperature on contact stress is analyzed by adopting a thermal-mechanical sequential coupling method, dynamic simulation of an abrasion process is realized by combining an ALE self-adaptive grid technology based on Arcard abrasion theory, and the coupling behaviors of temperature, stress and abrasion in the gear meshing process under different lubrication conditions can be accurately predicted, so that at least one technical problem related to the background technology can be effectively solved. In order to achieve the above purpose, the technical scheme of the invention is as follows: A tooth surface engagement friction heat-stress-abrasion coupling modeling and analyzing method comprises the following steps: Establishing a gear steady-state temperature field model, dividing the gear tooth surface into a plurality of areas and respectively defining thermal boundary conditions; based on a thermo-mechanical sequential coupling method, carrying out contact stress analysis by taking a temperature field as an input condition; establishing a dynamic wear model based on an Archard wear theory, and realizing real-time simulation of a wear process by combining an ALE self-adaptive grid technology and UMESHMOTION subprograms; the effect of friction coefficient, convective heat transfer coefficient on temperature field, stress field and wear depth was analyzed under different lubrication conditions. Compared with the prior art, the invention has the following beneficial effects: 1. comprehensively consider the multi-physical field coupling effect: according to the invention, the temperature field, the stress field and the abrasion field are subjected to coupling modeling and analysis for the first time, and the limitation that only a single factor (such as only contact stress or only the temperature field) is subjected to independent analysis in the prior art is overcome. By introducing a thermal-mechanical sequential coupling method and a dynamic wear model, the service behavior of the gear under the actual working condition can be reflected more truly. 2. Improving analysis precision and prediction capability: By dividing the surface area of the gear teeth and respectively defining the thermal boundary conditions and combining the refined calculation of the friction heat flow density, the heat distribution coefficient and the convection heat exchange coefficient, the accuracy of temperature field analysis is obviously improved. Furthermore, the temperature field is used as an input condition for contact stress analysis, and the Archard abrasion model and ALE self-adaptive grid technology are combined, so that dynamic simulation and geometric update of the abrasion process are realized, and the abrasion depth distribution and evolution rule of the gear are pre