摘要
本文利用模态分析技术和向量原理,推导出特征值、特征向量和稳态响应幅值随设计变量变化的灵敏度分析式。对于很难求刚度矩阵的结构,推导出直接以柔度矩阵表达的灵敏度公式,文中给出的一个四层框架结构的算例和试验结果,表明了有关灵敏度算式的正确性。
Based on modal analysis technique and vector principle, this paper gives the sensitivity analysis formulas of eigenvalue, eigenvector and amplitude of steady response with the change of design variables. For the case that rigid matrices are difficult to obtain, the sensitivity formulas are given directly based on the flexible matrices. The example of four-storey frames and its test -results presented show the correctness and effectiveness of the associated sensitivity formulas.
