Multi-state meshing dynamics modeling and analysis of an internal meshing spur gear system based on the Johnson contact model

被引：0
|
作者：
Ma X. [1 ]
Shi J. [1 ]
Zhang T. [2 ]
Dang X. [1 ]
Zhang L. [1 ]
机构：
[1] School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou
[2] Lanzhou LS Petroleum Equipment Engineering Co., Ltd., Lanzhou
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2023年 / 42卷 / 18期
关键词：
dynamic meshing force; internal meshing spur gear; multi-state meshing behavior; nonlinear vibration;
D O I：
10.13465/j.cnki.jvs.2023.018.007
中图分类号：
学科分类号：
摘要：
The accurate explanation of the tooth deregulation or back meshing induced by the backlash can provide theoretical guidance for the optimal design of the gear structure. Based on the Johnson contact force model, the dynamic meshing force calculation model of an involute internal meshing spur gear transmission system was constructed, taking into account the time-varying backlash and energy dissipation in the meshing process. According to the meshing principle of internal meshing spur gear and the force condition of gear teeth, the meshing process was decomposed, and the nonlinear dynamic model of the involute internal meshing spur gear system with five meshing states under time-varying backlash was established. Five different Poincare maps were constructed to clarify the characteristics of five-state meshing behaviors, and the generation mechanism of multi-state meshing behaviors of the system was revealed by the phase diagram and dynamic meshing force time history diagram. The results show that with the gradual increase of the meshing frequency, the single-tooth and double-tooth surface meshing occurs in the system, and the sudden directional change of the dynamic meshing force leads to the meshing between the gear teeth and the back of the single-tooth and double-tooth, resulting in the impact vibration behavior between the gear teeth. Even if the system shows a stable meshing state, the single and double teeth dismeshing still occurs. The previous dynamic models of internal meshing gear systems can not reveal the multi-state meshing characteristics, so that, aiming at the multi-state meshing behavior, the paper analyzes the nonlinear vibration characteristics in the internal meshing gear transmission cycle. © 2023 Chinese Vibration Engineering Society. All rights reserved.
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页码：54 / 62
页数：8
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