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

  • Masabumi Ishihara
Conference paper


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.


Manifold Torque 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

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

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