关于复模态分析法的推广

On Generalization of the Complex Modal Analysis Method

把复模态分析法推广到刚度矩阵可以奇导且质量矩阵、阻尼矩阵和刚度矩阵均不必为对称的情形。利用常微分方程组理论在较一般条件下求出了线性有阻尼多自由度振动系统对任意外激励的精确响应。在较特殊的条件下，与复模态分析法的结果是一致。

The complex modal analysis method is generalized to the cases in which stiffness matrix may be singular and mass matrix,damping matrix and stiffness may be nonsymmetric. Exact response of damped linear vibrating systems to arbitrarily excitation is obtained according to theory of ordinary differential equations.The results here are consistent with those given by the complex modal analysis method when it is applicable.