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Cross-Section Deformation in the Absolute Nodal Coordinate Formulation
Conference proceeding   Peer reviewed

Cross-Section Deformation in the Absolute Nodal Coordinate Formulation

Hiroyuki Sugiyama, Johannes Gerstmayr and Ahmed A Shabana
Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, Vol.6, pp.1269-1276
ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Long Beach, California, USA, Sept. 24 - 28, 2005
01/01/2005
DOI: 10.1115/DETC2005-84524

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Abstract

In this investigation, the deformation modes defined in the finite element absolute nodal coordinate formulation using several strain definitions are discussed. In order to accurately define strain components that can have easy physical interpretation, a material coordinate system is introduced to define the material element rotation and deformation. The results obtained in this study clearly show cross-section deformation modes eliminated when the number of the finite element nodal coordinates is systematically and consistently reduced. Using the procedure discussed in this paper, one can obtain a reduced order dynamic model, eliminate position vector gradients that introduce high frequencies to the solution of some problems, achieve the continuity of the remaining gradients at the nodal points, and obtain a formulation that automatically satisfies the principle of work and energy.

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