Hybrid algorithm of explicit method and implicit method in solving stiff-rigid combination structure

作者：Li, Chang-Qing; Lou, Meng-Lin; Yu, Zhi-Wu; Jiang, Li-Zhong; Li, Xing

来源：Journal of Vibration Engineering, 2011, 24(3): 274-279.

• Calculation efficiency
• Central difference method
• Combination structure
• Explicit method
• Implicit methods
• Liquid structures
• Stability requirements
• Unconditional stability

A new kind of hybrid algorithm of explicit and implicit method was presented in this paper, in which explicit method was used in calculating flexible substructure which has major degrees-of-freedom and then implicit method was used in calculating rigid substructure which has minor degrees-of-freedom. This method takes advantage of unconditional stability of explicit method and high calculation efficiency of implicit method. The stability requirement of the hybrid algorithm is described by the highest natural frequency of flexible substructure other than the highest natural frequency of the entire structure, which avoids too strict requirement in choice of time step size resulted from local high rigidity. This method can achieve high efficiency when being used in such conditions as calculation of soli-structure interaction and liquid-structure interaction. Numerical examples proved the correctness of the hybrid algorithm.

• 出版日期2011-6
• 单位土木工程防灾国家重点实验室; 同济大学; 中南大学