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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 23
ADVANCES IN SIMULATION AND INTERACTION TECHNIQUES Edited by: M. Papadrakakis and B.H.V. Topping
Paper V.2
Direct Strain Measure for Large Deformation Analyses on Hinge Connected Beam Structures J. Mitsugi
Nippon Telegraph and Telephone Corporation, Radio Communications Systems Laboratory, Take Yokosuka, Japan J. Mitsugi, "Direct Strain Measure for Large Deformation Analyses on Hinge Connected Beam Structures", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Simulation and Interaction Techniques", Civil-Comp Press, Edinburgh, UK, pp 237-243, 1994. doi:10.4203/ccp.23.5.2
Abstract
A multibody dynamics formulation based on a nonlinear
finite element method is presented particularly targeting
beams connected with hinges. A nonlinear kinematics called
direct strain measure is employed to extract strains of beams
subjected to large displacements included finite rotations.
Hinges are mathematically expressed in terms of the relations
between connecting nodes rather than Langrange multipliers.
The resultant dynamic equation is a differential equation of
minimum set of degree of freedom. The sparsity of mass
and stiffness matrices are preserved. Computational examples
prove the validity of the proposed method.
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