目的 以三次非线性包装系统为研究对象， 将一种简单有效近似方法应用于系统跌落冲击过程的响应分析， 以得到跌落冲击响应的近似解析解。方法 为了提高解的精度， 与包装动力学能量法结合， 通过能量法求解了最大位移及加速度， 对近似解进行了校正。结果 与龙格-库塔数值分析结果比较， 校正后的近似解其位移最大值、 加速度最大值相对误差小于0.1%， 跌落冲击时间相对误差小于2%。结论 为非线性包装系统跌落冲击响应分析提供了一种简单有效的分析方法。

A simple approximate method was used to give approximate solutions for dropping shock response of cubic nonlinear packaging system. In order to obtain the accuracy of the solutions, a novel solution combining approximate method with energy method was proposed, the maximum dropping shock response acceleration and displacement of the system were obtained with energy method, and the approximation solution was corrected. Compared with the results of Runge-Kutta method, the results showed that the relative error of acceleration peak value and displacement peak value of dropping shock response was less than 0.1%, and the relative error of extended period of dropping shock was less than 2%. This study provides a simple and effective method for the dropping shock response analysis of nonlinear packaging system.