| 摘要: |
| 以斜支承缓冲包装系统为研究对象，建立了跌落工况下系统的无量纲非线性动力学方程。应用变分迭代方法求解了系统动力学方程，得到了系统响应的近似解析表达式，并与龙格库塔数值解进行了比较。研究表明：跌落工况下斜支承系统响应频率相对误差小于0.3%，无量纲位移及加速度的响应最大值相对误差小于0.5%，且无量纲位移、加速度响应随支承角及跌落高度的变化趋势，与龙格库塔数值结果相同。变分迭代方法求解斜支承系统的跌落冲击问题，可以得到满意的结果。 |
| 关键词: 斜支承系统 数值解 变分迭代法 非线性 |
| DOI： |
| 分类号:TB487; TB485.1 |
| 基金项目: |
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| Variational Iteration Method for Response Analysis of Inclined Support Packaging System under Dropping Condition |
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YAN Min1, CHEN An-jun2
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1.Jiangnan University, Wuxi 214122, China;2.China National Control and Test Center for Packaging Quality, Wuxi 214122, China
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| Abstract: |
| Dimensionless nonlinear dynamical equations of inclined support packaging system under the condition of dropping were established. Variational iteration method was proposed to solve the equation, expressions of approximate solution were obtained, and the results were compared with that of Runge-Kutta numeric method. The results showed that response frequency error of inclined support packaging system under the condition of dropping is less than 0.3%; the error of the max dimensionless displacement and the max dimensionless acceleration is less than 0.5%; and variation trend with dropping height and support angle is the same with Runge-Kutta numeric method. It was concluded that it is valid to apply variational iteration method to solve the problem of inclined support packaging system under the condition of dropping. |
| Key words: inclined support packaging system numerical solution variational iteration Method nonlinear |
