Dynamic characteristics of spur bevel gear transmission system with multi-state meshing and time varying parameters

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (23) : 86-93.

GOU Xiangfeng, LI Guyu, ZHU Lingyun

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Abstract

In order to study the dynamic characteristics of straight bevel gear transmission system, its bending- torsional-axial dynamics model considered the multi-state meshing characteristics is established. The time-varying load distribution rate and time-varying meshing stiffness of the system are calculated by using the microelement method according to the meshing principle of straight bevel gear. Taking the parameters of straight bevel gear in an automobile differential as an example. Three different Poincaré sections are defined. The effects of meshing frequency and comprehensive transmission error on the dynamic characteristics of the system are studied according to the time history diagram of positive pressure, phase portraits, Poincaré maps, bifurcation diagram and corresponding top Lyapunov exponent (TLE). The results can supply a theoretical basis for the parameter design and control of dynamics characteristic for spur bevel gear transmission system.
Key words: Straight bevel gear; Multi-state meshing; Time-varying parameters; Nonlinear dynamics; Micro element method.

Key words

Straight bevel gear / Multi-state meshing / Time-varying parameters / Nonlinear dynamics / Micro element method.

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GOU Xiangfeng, LI Guyu, ZHU Lingyun. Dynamic characteristics of spur bevel gear transmission system with multi-state meshing and time varying parameters[J]. Journal of Vibration and Shock, 2022, 41(23): 86-93

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