基于伪随机特征向量的二次修改的结构拓扑重分析

Structural topology reanalysis for twice continuous modifications based on pseudo-random eigenvector

研究了连续两次修改的结构动力学拓扑重分析问题。基于我们提出的特征向量伪随机初始化方法,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,该方法是十分有效和高精度的。

According to the problem of structural dynamic topological reanalysis for two continuous modifications, a new method for dynamic reanalysis of topological modified structure with added degrees and twice-continuous modifications was proposed in this paper. This method is a combined independent mass-orthogonalization strategy and a pseudo-random numbers initialization eigenvector method with Rayleigh-Ritz analysis. Compared with the direct finite element analysis, computational cost can be significantly reduced by this method, which is also easy to operate and implement. The numerical example shows that the proposed method for dynamic topological reanalysis of twice-continuous modifications is effective and has high precision.