Mathematical analysis and numerical simulation of a nonsmooth road-vehicle spatial model

摘要

In this paper, the superpotential approach of Moreau is used in order to propose a rigorous mathematical formulation of a nonsmooth spatial model of vehicle dynamics. A 18 degrees of freedom mathematical model of three dimensional vehicle dynamics is presented in the paper considering rigid body dynamics, dynamics of tire suspensions as well as tire dynamics. Both, the linear and the nonlinear tire suspension models are presented and discussed in the paper. Amplitude and phase frequency characteristics of the considered spatial model of vehicle system are derived on the basis of the nonlinear, spatial model of the considered vehicle system. The comparison between the linear and nonlinear response of tire suspensions as well as tire pneumatics are discussed. Besides, the stability properties of the vehicle system are illustrated by the phase portraits of the characteristic system state variables. (C) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.