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Archive of Mechanical Engineering

The Journal of Committee on Machine Building of Polish Academy of Sciences

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An Enhanced Tire Model for Dynamic Simulation based on Geometrically Exact Shells

Michael Roller
  • Fraunhofer Institute for Industrial Mathematics, Fraunhofer Platz 1, 67663 Kaiserslautern, Germany
  • Email:
/ Peter Betsch
  • Institute of Mechanics, Karlsruhe Institute of Technology (KIT), Otto-Ammann-Platz 9, 76131 Karlsruhe, Germany
  • Email:
/ Axel Gallrein
  • Fraunhofer Institute for Industrial Mathematics, Fraunhofer Platz 1, 67663 Kaiserslautern, Germany
  • Email:
/ Joachim Linn
  • Fraunhofer Institute for Industrial Mathematics, Fraunhofer Platz 1, 67663 Kaiserslautern, Germany
  • Email:
Published Online: 2016-06-29 | DOI: https://doi.org/10.1515/meceng-2016-0016


In the present work, a tire model is derived based on geometrically exact shells. The discretization is done with the help of isoparametric quadrilateral finite elements. The interpolation is performed with bilinear Lagrangian polynomials for the mid-surface as well as for the director field. As time stepping method for the resulting differential algebraic equation a backward differentiation formula is chosen. A multilayer material model for geometrically exact shells is introduced, to describe the anisotropic behavior of the tire material. To handle the interaction with a rigid road surface, a unilateral frictional contact formulation is introduced. Therein a special surface to surface contact element is developed, which rebuilds the shape of the tire.

Keywords: geometrically exact shell; flexible multibody dynamics; tire modelling; unilateral contact


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About the article

Received: 2015-09-16

Accepted: 2016-06-07

Published Online: 2016-06-29

Published in Print: 2016-06-01

Citation Information: Archive of Mechanical Engineering, ISSN (Online) 2300-1895, DOI: https://doi.org/10.1515/meceng-2016-0016. Export Citation

© 2016 Michael Roller et al., published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

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