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A simplified implicit Newmark integration scheme for finite rotations

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Publication:2469748
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DOI10.1016/j.camwa.2006.02.021zbMath1190.74027OpenAlexW2043348554MaRDI QIDQ2469748

M. B. Rubin

Publication date: 7 February 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.02.021

zbMATH Keywords

implicit integrationfinite rotationsrotation vectorNewmark


Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Free motion of a rigid body (70E15)


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Cites Work

  • A finite strain beam formulation. The three-dimensional dynamic problem. I
  • On the dynamics in space of rods undergoing large motions - A geometrically exact approach
  • Large rotations revisited application of Lie algebra
  • On the choice of finite rotation parameters
  • The vectorial parameterization of rotation
  • An excursion into large rotations
  • Vector Analysis of Finite Rigid Rotations
  • On the Parametrization of the Three-Dimensional Rotation Group
  • Critical study of Newmark scheme on manifold of finite rotations
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