多个关键部件产品的破损边界

目的 得到矩形冲击下具有多个关键部件产品的破损边界，并分析破损边界在线性和非线性（正切型和双曲正切型）情况下的变化规律以及影响因素。方法 首先，使用集中质量法建立多自由度离散包装系统模型；然后，运用牛顿第二定律推导系统动力学方程，经无量纲处理后获得系统的无量纲动力学方程；最后，应用四阶龙格库塔法进行求解，获得系统的动力学响应，得到破损边界。结果 相较于线性包装材料，双曲正切型缓冲包装材料可以扩大包装件的非破损区，而正切型缓冲包装材料则相反，且影响程度与非线性参数成正比；在特定情况下，不同关键部件的破损边界曲线存在相交情况。结论 不同类型的冲击会导致不同关键部件的破损，实际物流过程中要考虑所有关键部件的保护。

Damage Boundary for Products with Multiple Critical Components

The work aims to obtain the damage boundary of product with multiple critical components under rectangular impact, and analyze the change rules and influencing factors of the damage boundary under linear and nonlinear (tangent and hyperbolic tangent) conditions. First, the lumped mass method was adopted to establish a MDOF discrete packaging product system model. Second, the kinematic equations of the system were derived according to the Newton''s second law, and dimensionless dynamic equations of the system were obtained through dimensionless processing. Third, the dynamic response of the system was solved according to the fourth-order Runge-Kutta method, and the damage boundary was obtained. The results showed that compared with linear packaging materials, hyperbolic tangential buffer packaging materials could expand the non-damaged zone of the package, while tangential buffer packaging materials could expand the non-damaged zone, and the influence degree was proportional to the nonlinear parameters. In some cases, the damage boundary curves of different critical components were intersected. In conclusion, different types of impact will lead to the damage of different critical components, and the protection of all critical components should be considered in the actual logistics process.