一种粘性阻尼系统频域响应灵敏度计算方法

给出了一种粘性阻尼系统频域响应灵敏度分析的双模态展开方法，引入与响应相对应的虚拟载荷，由两次模态展开得出频域响应灵敏度公式，为了减少模态截断误差，本文基于幂级数展开原理，又导出了一种双模态加速方法。数值示例表明，双模态加速法可大大提高模态截断时频域响应灵敏度分析的精度。

A Calculation Method for the Sensitivities of frequency Responses of Viscous Damped System

The sensitivities of frequency responses have been broadly applied to the domains of structural dynamic updating, damage detection, dynamic optimization and so on. A double modal superposition method is presented in this paper. The pseudo force vectors are introduced in this method to compute the sensitivities. In order to reduce the errors resulted from modal truncation, a double modal acceleration method is derived based on the theorem of power series expansion. Numerical example shows that the double modal acceleration method can improved the accuracy of the sensitivities of frequency responses.