目的 以三级刚柔耦合包装系统为研究对象， 推导由系统水平传递函数反向预测部件水平传递函数的逆向子结构分析公式。方法 结合刚性和柔性系统特点， 分别将三级刚柔耦合系统转化为二级刚性和二级柔性结构， 经过理论推导得出结果， 并用集总参数模型进行验证， 对理论公式进行误差分析。结果 验证了理论公式的正确性， 获得了各测量传函对预测传函的影响规律。结论 为刚柔耦合包装系统动态力学分析提供了理论依据。

The article focused on the three-level rigid-flexible coupling packaging system. The system-level FRFs were used to predict the component-level FRFs, and the formula for inverse substructure analysis was deduced. Based on the characteristics of rigid and flexible coupling systems, the three-level rigid-flexible coupling system was transformed to two-level rigid and flexible coupling systems respectively, and results were obtained by theoretical derivation and verified with the lumped parameter model to perform error analysis of the theoretical formula. The correctness of the theoretical formula was verified and based on this theory, the influencing pattern of each measuring transfer function on predicted FRFs was obtained. The study provided theoretical reference for dynamic mechanical analysis of the rigid-flexible coupling packaging system.