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Contact Force Models for Multibody Dynamics pp 93–134Cite as

Numerical Methods in Multibody System Dynamics

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 226))

Abstract

This chapter includes the main numerical methods commonly utilized in multibody systems, namely those necessary to solve the dynamic equations of motion for constrained multibody systems. In this process, the fundamental aspects associated with the use of direct integration method together with the use of Baumgarte stabilization technique are described. In addition, several numerical algorithms for the integration process of the dynamics equations of motion are presented. An algorithm on contact detection for multibody systems encountering contact-impact events is discussed. Finally, numerical methods to systems of linear and nonlinear equations are analyzed.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Minho, Guimaraes, Portugal

    Paulo Flores

  2. Department of Mechanical Engineering, Wichita State University, Wichita, KS, USA

    Hamid M. Lankarani

Authors
  1. Paulo Flores
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  2. Hamid M. Lankarani
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Correspondence to Paulo Flores .

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Flores, P., Lankarani, H.M. (2016). Numerical Methods in Multibody System Dynamics. In: Contact Force Models for Multibody Dynamics. Solid Mechanics and Its Applications, vol 226. Springer, Cham. https://doi.org/10.1007/978-3-319-30897-5_5

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  • DOI: https://doi.org/10.1007/978-3-319-30897-5_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30896-8

  • Online ISBN: 978-3-319-30897-5

  • eBook Packages: EngineeringEngineering (R0)

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