Abstract
Abstract
In this paper, Hamilton equation based finite elements for the dynamic analysis of flexible beams undergoing large overall motions are formulated. A symplectic algorithm is then employed to integrate the resulting equations. Explicit expressions for the various mass matrices and the symplectic iteration equations are provided. Three examples are solved to demonstrate the procedure. Also, no blow-up of solutions is observed despite the use of fairly large time steps in the long-term dynamic simulation runs. Thus, it appears that the proposed symplectic finite element approach is capable of producing an accurate and robust algorithm for the modelling of a non-linear flexible multi-body system.
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