Finite Element Formulation for 3-Dimensional Large Rotation Analysis of A Beam

  • Masabumi Ishihara
Conference paper

Abstract

Finite element analysis of 3-dimensional large rotation problem has been possible with nonlinear beam element by J.C.Simo,L.Vu-Quoc[1,2]. Their beam model is described by a configulation manifold which involves special orthogonal group SO(3). But the special orthogonal group is noncomutative, so the tangent stiffness matrix becomes non-symmetric away from equilibrium.

Keywords

Manifold Torque 

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References

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    J.C. Simo,“A finite strain beam formulation. The three dimensional dynamic problem. Part”,Comput.Meths.Appl.Mech.Engrg.49(1985)55–70MATHCrossRefGoogle Scholar
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    J.C. Simo and L. Vu-Quoc,“A three-dimensional finite-strain rod model, part II. Computational aspects”,Comp.Meths.Appl.Mech.Engrg.58(1986)79–116MATHCrossRefGoogle Scholar
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    Y. Miyazaki,“Research of 3-dimensional erastica”,doctoral dissertation, 1993Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Masabumi Ishihara
    • 1
  1. 1.Cray Research Japan LTD.TokyoJapan

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