一种频响函数灵敏度分析方法

频响函数灵敏度分析在结构动力优人和振动控制等许多领域中着广泛的应用，基于模态展开和幂级数展开原理，提出了一种频响函数灵敏度分析的模态展开法，为了减少模态展开时的模态截断误差，文中同时给出了一种模态加速了方法，该方法可大大提高模态截断时的灵敏度分析精度，通过对一数值害例计算表明，文中提出的方法非常有效。

A METHOD FOR SOLVING THE SENSITIVITIES OF FREQUENCY RESPONSE FUNCTION

It is very important to calculate the sensitivities of the Frequency Response Function (FRF) in the areas of vibration control, structural optimization and so on. Based on the theory of modal superposition and power series expansion, a modal superposition method for the sensitivity analysis of FRF is proposed in this paper. In order to reduce the error of modal truncation in modal superposition, a modal acceleration method is derived at the same time. The acceleration algorithm can improve the accuracy of the sensitivities quickly when modal truncation is adopted. Numerical example is also provided to demonstrate the efficiency of the proposed methods.