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Vol. 39 (1998) No. 2 April n. 127


Derivation of a geometric nonlinear triangular plate element by rigid body concept

< Table of Contents for Vol. 39 (1998) No. 2 April n. 127
  • Journal Name: Journal of the International Association for Shell and Spatial Structures (J. IASS)
  • ISSN: (Electronic Version) 1996-9015
  • ISSN: (Print Version) 1028-365X
  • Issue: Vol. 39 (1998) No. 2 April n. 127
  • Title: Derivation of a geometric nonlinear triangular plate element by rigid body concept
  • Author(s): Y-B Yang, J-T Chang
  • Keywords: triangular plate, analysis
Abstract
The rigid body rule is employed to derive the geometric stiffness matrix for a three-node triangular element containing three translational and three rotational degrees of freedom (DOFs) at each node. The geometric stiffness matrix derived is simpler than most existing ones in that it can be explicitly given. Another advantage of the element is its compati¬bili¬ty with the 12-DOF beam element, thereby making it most suitable for simulating plate and shell structures with stiffen¬ers. The asymmetry of the geometric stiffness matrix is circum¬vented by having the matrix included only in the corrector for computing the element forces, but excluded from the predictor for assembling the structure equations. The robust¬ness of the proposed element and procedure is demonstrat¬ed by the fact that solutions of sufficient accuracy can always be obtained, if a practically fine mesh has been used.

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