| 摘要: |
| 目的 分析得到双曲正切型无阻尼非线性包装系统跌落冲击的近似解析解，解决典型工况下双曲正切型非线性包装系统跌落冲击响应求解问题。方法 采用PEM分析系统的跌落冲击响应，得到冲击响应的一阶近似解；通过包装动力学的能量法，得到无阻尼系统的精确最大位移值；对近似解进行修正。结果 在足够的精度范围内，修正后的最大位移响应值、最大加速度响应值以及系统响应周期非常接近于龙格-库塔数值解。结论 为双曲正切型非线性包装系统跌落冲击响应分析提供了一种新的近似分析方法。 |
| 关键词: 双曲正切型非线性 跌落冲击 近似解析解 同伦分析法 能量法 |
| DOI： |
| 分类号:TB122；TB485.1 |
| 基金项目: |
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| Dropping Shock Response of Hyperbolic Tangent Nonlinear Packaging System |
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LI Hao-jing, ZHANG Min
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Xinxiang Radio and Television University, Xinxiang 453000, China
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| Abstract: |
| The work aims to analyze and obtain the approximate analytic solution for dropping shock of hyperbolic tangent undamped nonlinear packaging system, and figure out the solution for the dropping shock response of hyperbolic tangent nonlinear packaging system under typical working conditions. PEM was used to analyze the dropping shock response of the system so as to obtain the first-order approximate solution for shock response. The accurate maximum displacement of undamped system was obtained with energy method of packaging dynamics and the approximate solution was corrected. Within an adequate accuracy range, the maximum displacement response, the maximum acceleration response and the system’s response cycle after correction were very close to that obtained by Runge-Kutta method. A new method is provided for approximate analysis of dropping shock response of hyperbolic tangent nonlinear packaging system. |
| Key words: hyperbolic tangent nonlinear dropping shock approximate analytic solution homotopy analysis method energy method |
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