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量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速；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阶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 Eigenvalue and eigenvector sensitivity analysis are widely used in neighborhoods such as vibration control and structural dynamics optimization design. According to the modal expansion and power series expansion principle, a new method that can be used to power the sensitivity analysis of eigenvector sets When the eigenvector group under investigation is in the low-frequency region of the system, this method can be used to cut off and accelerate the modalities of the middle and high-order modes of the system. When the eigenvector group under investigation is in the mid-frequency region of the system, The proposed method can simultaneously perform truncation and acceleration on the high-order and low-order modes of the system. Numerical examples show that the proposed method is feasible