| 摘要: |
| 目的 以含线性阻尼的正切型缓冲包装系统为研究对象，利用NHB方法求解系统跌落冲击的逼近解析解。方法 首先建立系统的跌落冲击动力学方程;其次引入无量纲位移与时间参数，并经线性化处理，应用NHB法得到系统响应的逼近解析解;然后进一步得出系统跌落冲击时，最大位移、峰值加速度及持续时间表达式;最后利用实例对比明确提案算法的计算精度。结果 提案的NHB法与R-K法数值解的对比结果表明，提案法所得位移及加速度的相对误差平均值均控制在6%以内。阻尼系数对系统响应影响显著，当阻尼系数越大，峰值位移就越小，系统的峰值时间和振动频率也会相应减小。结论 NHB法适用于含线性阻尼的正切型包装系统跌落冲击的求解问题。 |
| 关键词: 非线性系统 NHB 正切 阻尼 跌落冲击 |
| DOI：10.19554/j.cnki.1001-3563.2020.23.016 |
| 分类号:TB485.3 |
| 基金项目:山东省自然科学基金面上项目(ZR201702100113) |
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| NHB Method for Analyzing Drop Shock Response of Tangent Packaging System with Linear Damping |
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ZHONG Chen, QIN Qing-hai, ZHAO Dong-jing
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(Qufu Normal University, Rizhao 276800, China)
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| Abstract: |
| The work aims to propose an approximate analytical solution for the drop shock system by using the NHB method with the tangent packaging system with linear damping as the research object. Firstly, the drop impact dynamics equation of the system was established. Secondly, the dimensionless parameters-displacement and time-were introduced. Afterwards, the approximate analytical solution of the system response was obtained by using the NHB method after linearization. Thirdly, the expressions of the maximum displacement, peak acceleration and duration were further obtained. Finally, the calculation accuracy of the proposed algorithm was confirmed by case study.The comparison between the proposed NHB method and the R-K method showed that the average value of relative errors of displacement and acceleration obtained by the proposed method was controlled within 6%. The damping coefficient significantly affected the response of the system. Following the increase of the damping coefficient, the peak displacement decreased. Meanwhile, the peak time and oscillation frequency of the system decreased to some extent. The NHB method is suitable for solving the drop shock response of tangent packaging system with linear damping. |
| Key words: nonlinear system NHB tangent damping drop shock |
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