Transient Dynamic Response Characteristics of Tires at μ-step Road Boundaries and Modeling

doi:10.3901/JME.260285

Abstract

Abstract: The transient dynamic characteristics of tires on μ-step roads are critical to vehicle handling performance. Based on the brush-model to analyze the contact relationship between tire and road, combined with the constitutive relationship and initial boundary conditions, the partial differential equations for the deformation of the tread element in the brush model under combined working conditions are derived. Mathematical expressions for tire forces and aligning moments based on tread element deformation are provided. The tread element deformation correction function under a single road surface is extended to complex dynamic road. Considering the influence of static and dynamic friction coefficients, numerical examples investigate the deformation behavior of the tread and the variation patterns of tire forces under different road surfaces, wheel torque, and front wheel angle excitations. Results indicate that under complex dynamic road surfaces, the deformation of tread elements is constrained by road surface adhesion conditions. And there are mutual coupling relationships between tread element deformations within the tire-road contact area. Under μ-step road boundary conditions, the deformation of tread elements on the original road surface exhibits transient response characteristics of a second-order underdamped system under a unit step input, ultimately converging to a tangent line determined by slip ratio or side slip angle. Additionally, the tire force response exhibits a certain degree of lag when the wheel crosses the boundary of the μ-step road. The lag time increases as the slip ratio or side slip angle decreases and as the wheel rolling speed decreases.

Key words: tire dynamics, μ-step road, transient characteristics, combined conditions

CLC Number:

U461

LIAN Zhijia, LU Jianwei, WEI Heng, ZHU Yingjie, WANG Shenping, LI Chongbing. Transient Dynamic Response Characteristics of Tires at μ-step Road Boundaries and Modeling[J]. Journal of Mechanical Engineering, 2026, 62(8): 60-70.

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