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

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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。

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	霍银磊
	宋晓东

关键词 ：三次非线性, 阻尼系统, MSLP法, 跌落冲击响应

Abstract：

Based on the multi-scale method and Lindstedt-Poincare perturbation method (MSLP)，the approximate solution of dropping shock of damped cubic-nonlinear packaging system are discussed. By compared with the numerical solutions, the compared results show that the analytical expression for has good precision, especially for small damping shock response analysis of strong nonlinear packaging system, even without additional correction for the amplitude and frequency.

Key words： cubic-nonlinear')" href="#">

cubic-nonlinear damped packaging system MSLP method dropping shock

收稿日期: 2020-11-11 出版日期: 2022-03-15

引用本文:

霍银磊，宋晓东. 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[J]. 振动与冲击, 2022, 41(5): 33-38.
HUO Yinlei, SONG Xiaodong. Analytical solution to drop shock of cubic nonlinear packaging system based on multi-scale L-P method. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(5): 33-38.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I5/33

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