特征向量组灵敏度分析的幂级数展开法

特征值与特征向量灵敏度分析在振动控制、结构动力优化设计等邻域中有着广泛的应用。本文根据模态展开和幂级数展开原理，导出了一种可用于特征向是组灵敏度分析的幂级数展开法。当所考察的特征向量组处于系统的低频区时，应用该方法可对系统中、高阶模态实施模态截断和加快；而当所考察的特征向量组处于系统的中频区时，应用该方法可对系统的高阶模态和低价模态同时实施截断和加速。数值示例计算表明，本文提出的方法是可行的。

Power Series Expansion Method for the Sensitivities of an Eigenvector Group

The sensitivity of eigenvalues and eigenvectors has been broadly applied to the fields of vibration control,structural dynamic optimization and so on.Based on the modal superposition and power series expansion when the considered eigenvectors lie in the middle frequency range,the high and low modal can be truncated at the same time.Numerical example shows that the lowest frequency range of the system,the middle and high modal can be truncated by using the proposed method.When the considered eigenvectors lie in the middle frequency range,the high and low modal can be truncated at the same time.Numerical example shows that the present approach is feasible.