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由直接求导法导出特征值、特征向量和响应的一阶导数公式，进而将其表示成有限元摄动形式，建立了智能结构设计灵敏度分析的有限元摄动法．此方法既可避免直接对质量阵和刚度阵求导，使质量和刚度阵不能表示成设计变量显式时，仍能很方便地进行灵敏度分析，又可直接在大型结构分析程序上实施．文中给出的算例说明了方法的有效性及应用价值．
The first derivative formula of eigenvalues, eigenvectors and responses is derived by the direct derivation method, which is then expressed as finite element perturbation form. The finite element perturbation method of intelligent structural design sensitivity analysis is established. This method can avoid the direct derivation of mass matrix and stiffness matrix, make the mass and stiffness matrix can not be expressed as explicit design variables, still can be easily carried out sensitivity analysis, but also can be directly implemented in large structural analysis program. The examples given in this paper illustrate the effectiveness of the method and its application value.