Nonlinear Dynamics Analysis of the Wheel-Side Planetary Reducer with Tooth Wear for the In-Wheel Motored Electric Vehicle

Dehua Shi, Le Sun, Qirui Zhang, Shaohua Wang (), Kaimei Zhang, Chunfang Yin and Chun Li
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Dehua Shi: Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, China
Le Sun: Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, China
Qirui Zhang: Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, China
Shaohua Wang: Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, China
Kaimei Zhang: Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, China
Chunfang Yin: School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, China
Chun Li: Higer Bus Company Limited, Suzhou 215026, China

Mathematics, 2025, vol. 13, issue 17, 1-26

Abstract: This paper investigates the nonlinear dynamics of the wheel-side planetary reducer, considering the tooth wear effect. The tooth wear model based on the Archard adhesion wear theory is established, and the impact of tooth wear on meshing stiffness and piecewise-linear backlash of the planetary gear system is discussed. Then, the torsional vibration model and dimensionless differential equations considering tooth wear for the wheel-side planetary reducer are established, in which meshing excitations include time-varying mesh stiffness (TVMS), piecewise-linear backlash, and transmission error. The dynamic responses are numerically solved using the fourth-order Runge–Kutta method. On this basis, the nonlinear dynamics, such as the bifurcation and chaos properties of the wheel-side planetary reducer with tooth wear, are analyzed. Simulation results demonstrate that the existence of tooth wear reduces meshing stiffness and increases backlash. The reduction in the meshing stiffness changes the bifurcation path and chaotic amplitude of the system, inducing chaotic phenomena more easily. The increase in the gear backlash causes a higher amplitude of the relative displacement and more severe vibration.

Keywords: in-wheel motored electric vehicle; planetary gear system; bifurcation; chaos (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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