Calculation method of time-varying meshing stiffness of helical gear pair based on tooth surface friction

doi:10.7523/j.ucas.2022.069

Abstract

Abstract: Helical gears are widely used in high-speed and heavy-duty situations due to their smooth transmission and many other advantages. When helical gear pair meshing, it is inevitablely affected by friction, so it is necessary to take tooth surface friction into account when calculating the time-varying meshing stiffness(TVMS) of helical gear pair. Firstly, the helical gear is cut into micro-element slices of spur gear by the slicing method, and then the meshing stiffness of micro-element slices is calculated by the energy method. Finally, the accurate TVMS of helical gear pair is obtained by integral accumulation along the tooth width direction. The change rule of TVMS of helical gear pair under zero friction, constant friction, and time-varying friction is studied. The action mechanism of tooth surface roughness, torque, speed, tooth width, and other parameters on TVMS of helical gear pair under time-varying friction are revealed. The results show that the TVMS of helical gear pair will change under the action of friction; Under constant friction, the TVMS of helical gear pair will decrease, and the greater the constant friction coefficient, the smaller TVMS; Under the action of time-varying friction, the TVMS of helical gear pair will decrease with the increase of tooth surface roughness, increase with the increase of input torque, speed, and tooth width, respectively.

Key words: helical gear, time-varying friction, time-varying mesh stiffness(TVMS), energy method

CLC Number:

TP132

MO Shuai, WANG Dongdong, HU Xiaosong, LIU Zhipeng. Calculation method of time-varying meshing stiffness of helical gear pair based on tooth surface friction[J]. Journal of University of Chinese Academy of Sciences, 2024, 41(4): 558-565.

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