基于多尺度L-P法的三次非线性包装系统跌落冲击解析解  

Analytical solution to drop shock of cubic nonlinear packaging system based on multi-scale L-P method

作　　者：霍银磊[1] 宋晓东[1] HUO Yinlei;SONG Xiaodong(Department of Packaging Engineering,Henan University of Science and Technology,Luoyang 471000,China)

机构地区：[1]河南科技大学包装工程系,河南洛阳471000

出　　处：《振动与冲击》2022年第5期33-38,48,共7页Journal of Vibration and Shock

摘　　要：针对有阻尼三次非线性包装系统在发生跌落冲击时的响应问题,基于多尺度Lindstedt-Poincare摄动法(MSLP)讨论了三次非线性系统跌落冲击响应的一阶近似解析表达并与数值结果进行了对比。结果表明:所求有阻尼三次非线性系统跌落冲击一阶近似解析具有较好的精度,特别是对于小阻尼强非线性包装系统的冲击响应分析而无需额外的幅值及频率修正。Aiming at the drop shock response problem of damped cubic nonlinear packaging system, the first-order approximate analytical expression of drop shock response of cubic nonlinear system was discussed based on the multi-scale Lindstedt-Poincare(MSLP) perturbation method, and the results obtained with the analytical expression were compared with the numerical results. It was shown that the first-order approximate analytical solution to drop shock of damped cubic nonlinear system has a better accuracy;especially, for shock response analysis of strong nonlinear packaging system with small damping, no additional amplitude and frequency corrections are needed.

关 键 词：三次非线性 阻尼系统 MSLP法 跌落冲击响应 

分 类 号：TB485.3[一般工业技术—包装工程] O326[理学—一般力学与力学基础]