非线性系统带集中质量悬臂梁易损件跌落冲击特性

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摘要以三次非线性缓冲包装系统为研究对象，建立系统跌落冲击动力学方程；综合龙格-库塔和有限元法设计动力学方程的求解算法；探讨了集中质量和主体振动频率对易损件响应的影响。数值分析表明：系统跌落冲击过程，易损件最大位移和加速度响应均位于悬臂梁自由端，易损件与主体连接部内应力最大；易损件相对主体质量较小时，系统耦合作用对易损件响应影响不明显；随集中质量增加或主体振动频率向易损件第一阶固有频率接近时，易损件内应力响应、自由端相对位移响应幅值显著增大。对含弹性易损件产品系统包装设计中，连接部的内应力和易损件相对位移是关注的重要参数。研究结论可为带集中质量悬臂梁产品缓冲包装设计提供理论依据。

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	郝蒙1
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关键词 ：集中质量, 悬臂梁, 易损件, 有限元, 三次非线性, 跌落冲击

Abstract：In order to investigate the dropping shock characteristics of cantilever beam critical component with concentrated tip mass, the dynamic models of cubic nonlinear packaging systems were proposed. The Runge-Kutta method and the finite element method were applied to numerical analysis, and the effect of system parameters, such as the value of the concentrated tip mass and the frequency of the main component, is discussed. The case study showed that the maximum dropping displacement and acceleration responses of the critical component occur at its free end, while the maximum internal stress appears at its joint end. The effect of the interaction on the responses of the critical component can be ignored when its value is much less than the main component. With the increase of the value of the concentrated tip mass and/or a higher frequency of the main component, the amplitudes of the responses increase obviously. And, in the packaging design of systems with elastic critical components, the internal stress at the joint end and the relative displacement of the critical component are effective parameters to evaluate whether products are damaged. The results provide theoretical foundation for the package cushioning design of this type systems.

Key words： concentrated tip mass cantilever beam critical component finite element cubic nonlinear dropping impact

收稿日期: 2014-06-19 出版日期: 2015-08-15

引用本文:

郝蒙1，陈安军1,2. 非线性系统带集中质量悬臂梁易损件跌落冲击特性[J]. 振动与冲击, 2015, 34(15): 162-167.
HAO Meng1，CHEN An-jun1,2. Dropping shock characteristics analysis of a cubic nonlinear system with a cantilever beam type elastic critical component with concentrated tip mass. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(15): 162-167.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2015/V34/I15/162

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