Coupled Analysis of Dynamic Contact and Dynamics of Gear System Considering Tooth Back Meshing

doi:10.12141/j.issn.1000-565X.230682

Abstract

Abstract:

In order to study the effect of tooth back meshing on the nonlinear dynamic response of the gear system more deeply, a method of analyzing the coupling of tooth transient contact and system dynamics considering the tooth back meshing is proposed. First, the differences in dynamic model and the phase relationship between tooth back meshing and normal meshing are analyzed by studying the mechanism of tooth back meshing. Next, a dynamic model of the gear system considering tooth back meshing is established. Then, a closed-loop “excitation-response-feedback” coupled method is proposed by combining with the dynamic loaded tooth contact analysis (DLTCA). The proposed method can not only can consider the inverse effect of dynamic displacement on the dynamic contact state of the tooth surface, but also can factor in the tooth backlash, flank errors and modification, thus helping obtain more actual dynamic mesh stiffness and system response. The results show that the tooth back meshing mainly affects the nonlinear vibration responses in the speed-down process, while the effect on the speed-up process is not obvious; that increasing the tooth clearance may increase the main resonance speed range of the gear system, while the sensitivity of system vibration to the change of tooth clearance may decrease; that the tooth clearance with small value mainly affects the system nonlinear vibration through the tooth back meshing; and that considering the tooth back meshing may not only change the chaotic rotational speeds, but also change the chaotic state at the same rotational speed. This research provides some theoretical guidance for the nonlinear dynamic control of gear system.

Key words: gear system, tooth back meshing, dynamic loaded tooth contact analysis, dynamic mesh stiffness, nonlinear vibration

CLC Number:

TH113

CHANG Lehao, WANG Peilin, HUANG Qidi, YUAN Bing, SU Jinzhan. Coupled Analysis of Dynamic Contact and Dynamics of Gear System Considering Tooth Back Meshing[J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(12): 22-31.

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参数	小齿轮	大齿轮
法向模数/mm	4	4
压力角/（°）	20	20
螺旋角/（°）	0	0
载荷扭矩/（N·m）	—	500
齿数	31	104
齿宽/mm	60	60
支承刚度/（N·mm^-1）	5×10⁸	5×10⁸
支承阻尼/（N·s·m^-1）	3×10⁴	3×10⁴

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