An overview of several formulations for multibody dynamics

Research output: Chapter in Book/Report/Conference proceedingChapter

11 Scopus citations

Abstract

In this paper several formulations for automatic generation of the equations of motion for rigid and rigid-deformable multibody systems are reviewed. The rigid-body formulations are the body-coordinate formulation based on Newton-Euler equations, a non-conventional point-coordinate formulation where rigid bodies are represented as a collection of particles, and the joint coordinate formulation that employs relative coordinates between bodies. A transformation process based on velocity relations is described for easy transformation of one formulation into another. Finally, a brief overview of the equations of motion for deformable bodies in a multibody environment is presented.

Original languageEnglish (US)
Title of host publicationProduct Engineering
Subtitle of host publicationEco-Design, Technologies and Green Energy
PublisherSpringer Netherlands
Pages189-226
Number of pages38
ISBN (Print)1402029322, 9781402029325
DOIs
StatePublished - Dec 1 2005

Keywords

  • body coordinates
  • deformable bodies
  • equations of motion
  • joint coordinates
  • multibody dynamics
  • point coordinates
  • rigid bodies

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Nikravesh, P. E. (2005). An overview of several formulations for multibody dynamics. In Product Engineering: Eco-Design, Technologies and Green Energy (pp. 189-226). Springer Netherlands. https://doi.org/10.1007/1-4020-2933-0_13