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| Dynamic Parametric Variational Principle and Symplectic Algorithm for Truss with Different Tensional and Compressional Stiffness |
| Gao Qiang, Zhang Hongwu, Zhang Liang, Zhong Wanxie |
| Department of Engineering Mechanics, Dalian University of Technology, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian, 116024 |
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Abstract For deployable structures, some special structures, such as cable and membrane, are used to achieve the design performance. These cable and membrane components show different tensile and compressive properties. The difference in tension and compression brings strong nonlinear behavior and effective numerical methods are needed. Dynamic parametric variational principle for truss with different stiffness in tension and compression is established and the nonlinear analysis of the truss can be transformed into a complementarity problem. Based on the time finite element method, a symplectic method for solving this problem is established. The numerical method proposed in this paper is stable and efficient, and does not need interaction and update of stiffness matrix.
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Received: 07 December 2010
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2013, Vol. 32 
