STUDY ON NONLINEAR DYNAMIC BEHAVIOR OF PLANETARY GEAR TRAIN DYNAMIC MODEL AND GOVERNING EQUATIONS

Abstract

Abstract: A torsional-lateral nonlinear vibration model is established to predict the dynamic characteristics of planetary gear train．It includes the time-varying mesh stiffness，gear meshing errors and gear backlashes．The originally derived governing equations are very hard to solve for which are characterized by semi-definition，time-variation and backlash-type nonlinearity．A linear transformation method is presented to obtain a new generalized coordinates based on the relative meshing displacement. Then the original equations are transformed to identical dimensionless nonlinear differential equations in matrix form. The analytical solution for SOD differential equation can be improved to solve the MOD differential equations．

Key words: Gear dynamics, Nonlinear vibration, Planetary gear train

CLC Number:

HT113

Sun Tao;Shen Yunwen;Sun Zhimin;Liu Jiyan. STUDY ON NONLINEAR DYNAMIC BEHAVIOR OF PLANETARY GEAR TRAIN DYNAMIC MODEL AND GOVERNING EQUATIONS[J]. , 2002, 38(3): 6-10.

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STUDY ON NONLINEAR DYNAMIC BEHAVIOR OF PLANETARY GEAR TRAIN DYNAMIC MODEL AND GOVERNING EQUATIONS

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