Study on dynamic response characteristics of worn gears considering tooth micromorphology
MENG Fanshan
YI Wenhao
ZHANG Xin
JIN Yulin
WANG Jiaxu
Abstract：[Objective]To study the effect of tooth surface micromorphology on gear contact and operating conditions,the wear rate and dynamic response characteristics of anisotropic 3D rough tooth surface were investigated.[Methods]Firstly,an anisotropic 3D microscopic rough gear surfaces were established based on fractal geometry theory.Secondly,the non-uniform wear of these microscopic rough gear surfaces under different rotational speeds and operating durations was calculated according to Archard's theory.The wear depth of the gear surfaces was combined with gear dimensional parameters to solve for the time-varying meshing stiffness and backlash during the worn gear meshing,and they were used as internal excitation input parameters for the dynamic model of the gear transmission system.Lastly,the variable step-size Runge-Kutta algorithm was employed to solve the dynamic differential equations,thereby obtaining the dynamic response characteristics of the gear transmission system.[Results]The results indicate that,with the same tooth surface roughness,as the rotational speed and operating duration of the gears increase,the wear depth of the tooth surface and the tooth side clearance gradually increase,while the time-varying meshing stiffness gradually decreases.In gear transmission systems considering the micromorphology of tooth surfaces,the gear transmission system exhibits abundant dynamic response characteristics as the rotational speed changes.As the operating duration increases,the dynamic transmission error of the gear transmission system enlarges.The overall dynamic response of the system tends from periodic motion state to chaotic motion state,manifesting as chaotic vibrations,which are detrimental to the system's smooth operation.The gear transmission system transitions from chaotic motion state to relatively stable periodic motion state when the torque or rotational speed of worn gears in a chaotic motion state changes.
Keywords：3D rough tooth surfaceWearTime-varying meshing stiffnessBacklashDynamic response characteristic
Publication Date：2026-03-15
Online Publishing Date：2026-09-12(First online date of this platform, not the publication date of the document)
Pages：12( 142-153 )