本文首先由自由振动方程及正则化条件直接导出了仅用模态参数计算复特征值及特征向量的灵敏度公式。提出了用原始结构的模态参数计算结构改变后的模态参数的灵敏度算法。建立了一种对结构进行多点动态修改的连续灵敏度优化分析方法——CSOA法。这种方法精度较高,易与各种优化方法结合,自动地寻找优化方向。最后以一个多自由度离散系统为例说明了方法的有效性和算法的正确性。 In this paper, the sensitivity formulas for calculating complex eigenvalues ​​and eigenvectors using modal parameters are derived directly from free vibration equations and regularization conditions. A sensitivity algorithm for calculating the modal parameters after the change of the structure using the modal parameters of the original structure is proposed. A continuous sensitivity optimization analysis method CSOA method was established to dynamically modify the structure at multiple points. This method has high accuracy and is easily combined with various optimization methods to automatically find the optimization direction. Finally, a multi-degree-of-freedom discrete system is used as an example to illustrate the effectiveness of the method and the correctness of the algorithm.