基于耦合凝聚的二次修改的结构拓扑重分析

STRUCTURAL TOPOLOGY REANALYSIS FOR TWICE CONTINUOUS MODIFICATIONS BASED ON COUPLED CONDENSATION

研究了连续两次修改的结构动力学拓扑重分析问题。基于我们提出的耦合凝聚方法,独立和耦合质量正交化处理措施,再结合瑞利-里兹分析法,形成了适用于两次修改的增加自由度的结构拓扑大修改的快速动力学重分析方法。该方法减少了两次直接分析所需要的大量计算量,且操作简单,易于实现。数值算例结果表明,对于这类涉及两次修改的拓扑大修改重分析问题,所提的方法是十分有效的。

According to the problem of structural dynamical topological reanalysis for continuous two modifications, a new method for dynamic reanalysis of topological modified structure with added degrees and two continuous modifications was proposed in this paper, which is combined independent mass orthogonalization strategy with Rayleigh-Ritz analysis and the coupled condensation method. Comparing with the direct finite element analysis （FEA） , the high computational effort for FEA is greatly decreased by utilizing the proposed reanalysis procedures, which is also easy to operate and implement. The numerical example shows that the proposed method for dynamical topological reanalysis of continuous two modifications is effective.