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Dynamics of Rolling Wheels

Nackenhorst U., Brinkmeier M., Ziefle M.

Machine Dynamics Problems

2006

Vol. 30, No. 1

45-60

A finite element approach for the simulation of rolling tire dynamics is presented. As a key for the efficient numerical solution an arbitrary Lagrangian Eulerian kinematics description is introduced. After a short introduction into the general theory one focus is laid onto the computation of stationary rolling contact. Here a novel approach for the treatment of inelastic material properties by a discontinuous Galerkin discretization of the advection problem is presented. In the continuation the analysis of transient dynamic aspects with emphasis to rolling noise prediction is discussed. A modal superposition approach is suggested, where special attention is laid onto the numerical solution of the related non-symmetric and complex valued eigenproblems for the gyroscopic system. Numerical examples on detailed tire-models demonstrate the applicability of the presented theory.