目的 考虑到运输包装系统耦合形式复杂，包装材料及包装结构具有非线性特性，不容易测量局部物理参数，需要对传统逆向子结构方法进行优化，使之能够求解非线性多点耦合系统中子结构的动态响应特性。方法 使用描述函数法将非线性的运输包装系统线性化，测量其在若干特定振动幅值下的频率响应函数;之后，应用逆向子结构方法和参数识别方法，计算包装件的模态参数;最后，拟合包装件模态参数与振动幅值之间的关系，构建函数来描述包装件的动态响应特性。结果 在集总参数模型中，解耦预测值与实际值吻合;在有限元模型中，对响应峰值的预测误差小于5%，对响应跳跃现象所在频率的预测误差小于3%。结论 该研究将传统逆向子结构方法的应用范围拓展到了非线性多点耦合系统，对复杂运输包装系统动力学模型的构建和防振包装的设计具有指导意义。

The work aims to optimize the traditional inverse sub-structuring method, to get the dynamic response characteristic of sub-structure in nonlinear multi-coordinate coupled system, which is helpful to resolve the issue that complex coupling forms and nonlinear characteristic of material make it difficult to measure the physical parameters in transport packaging system. The description function method is used to linearize the nonlinear system and the frequency response functions (FRFs) at several response amplitudes need to be measured. Then, the modal parameters of the sub-structure can be identified by inverse sub-structuring method. Lastly, the relationship between the modal parameters and vibration amplitudes is fitted and a function is constructed to describe the dynamic response characteristic of the sub-structure. In the lumped parameter model, the predicted response was consistent with the actual. In the finite element model, the prediction error of the response peak was less than 5%, and the prediction error of the jumping frequency was less than 3%. The application of traditional inverse sub-structuring method was extended to nonlinear multi-coordinate coupled system, which had guiding significance for the construction of dynamic model of complex transport packaging system and the design of anti-vibration packaging.