Computational Mechanics

, Volume 31, Issue 1–2, pp 49–59 | Cite as

Constrained dynamics of geometrically exact beams

  • P. Betsch
  • P. Steinmann

Abstract

 Geometrically exact beams are regarded from the outset as constrained mechanical systems. This viewpoint facilitates the discretization in space and time of the underlying continuous beam formulation without using rotational variables. The present semi-discrete beam equations assume the form of differential–algebraic equations which are discretized in time. The resulting energy–momentum scheme satisfies the algebraic constraint equations on both configuration and momentum level.

Keywords Nonlinear finite elements, Constrained mechanical systems, Structural dynamics, Multibody systems, Energy–momentum methods 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • P. Betsch
    • 1
  • P. Steinmann
    • 1
  1. 1.Chair of Applied Mechanics, Department of Mechanical Engineering, University of Kaiserslautern, Germany e-mail: pbetsch@rhrk.uni-kl.deDE

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