• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2021, Vol. 57 ›› Issue (12): 87-98.doi: 10.3901/JME.2021.12.087

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Research on Tire-road System Coupling Dynamics Based on Non-uniform Contact

LU Yongjie1,2, ZHANG Junning3, LI Haoyu1,2, MA Zhizhe2   

  1. 1. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043;
    2. School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043;
    3. School of Traffic and Transportation Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043
  • Received:2020-09-25 Revised:2021-01-29 Online:2021-06-20 Published:2021-08-31

Abstract: To discuss the coupled vibrations between tires and pavements in-depth, a tire-pavement-subgrade system coupling model is proposed based on the non-uniform dynamic friction between tires and pavements. A pavement structure dynamic model of finite length and width slabs on the Winkler foundation is established on the basis of Kirchhoff plate theory. To accurately describe the coupling relationship between tires and pavements, the traditional LuGre tire model based on linear contact load distribution is improved to a non-uniform surface contact load distribution. The Galerkin truncation method is used to simplify the partial differential equations of pavement vibrations to the finite ordinary differential equations. The Runge-Kutta method is applied to solve the control equations and calculate the response of the tire-pavement coupling system. The influences of different transverse and longitudinal truncation orders on the calculation accuracy of the vibration response of the coupling system are discussed, thus determining the optimal truncation order. The characteristics of the tire-pavement coupling system are analyzed. The difference between the situation considering coupling effects and the situation not considering coupling effects is compared in terms of the pavement structural deformation, dynamic load and tire force (longitudinal force, lateral force and aligning torque), providing a reference for the pavement structural design and the vehicle performance control.

Key words: tire-pavement coupling, Kirchhoff plate, non-uniform load distribution, Galerkin truncation, dynamic friction

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