首页|Unified method for typical gear failure modeling and stiffness calculation based on the matrix equation

Unified method for typical gear failure modeling and stiffness calculation based on the matrix equation

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The failure types in gear systems vary,with typical ones mainly including pitting,cracking,wear,and broken teeth.Different modeling and stiffness calculation methods have been developed for various gear failure types.A unified method for typical gear failure modeling and stiffness calculation is introduced in this study by considering the deviations in the time-varying meshing stiffness(TVMS)of faulty gears resulting from the use of different methods.Specifically,a gear tooth is discretized into a large number of microelements expressed with a matrix,and unified models of typical gear failures are built by adjusting the values of the matrix microelements.The values and positions of the microelements in the tooth failure model matrix have the same physical meaning as the parameter variables in the potential energy method(PEM),so the matrix-based failure model can be perfectly matched with PEM.Afterward,a unified method for TVMS is established.Modeling of healthy and faulty gears with pitting,wear,crack,and broken tooth is performed with the matrix equation,and the corresponding TVMS values are calculated by incorporating the matrix models with PEM.On the basis of the results,the mechanism of typical fault types that affect TVMS is analyzed,and the conclusions are verified through the finite element method.The developed unified method is a promising technique for studying the dynamic response characteristics of gear systems with different failure types because of its superiority in eliminating stiffness deviations.

gearsmatrix equationfailure modelingTVMS calculationunified method

Fanshan MENG、Xin ZHANG、Heng XIA、Jiaxu WANG

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School of Mechanical Engineering,Southwest Jiaotong University,Chengdu 610031,China

State Key Laboratory of Mechanical Transmissions for Advanced Equipment,Chongqing University,Chongqing 400044,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaSichuan Science and Technology Program,ChinaSichuan Province Innovative Talent Funding Project for Postdoctoral Fellows,ChinaChina Postdoctoral Science Foundation

52175122520754562023NSFSC0362BX2022142023M732917

2024

10.1007/s11465-024-0794-2

机械工程前沿
高等教育出版社

机械工程前沿

影响因子：0.118
ISSN：2095-0233
年,卷(期)：2024.19(3)