振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
15期
162-167
,共6页
集中质量%悬臂梁%易损件%有限元%三次非线性%跌落冲击
集中質量%懸臂樑%易損件%有限元%三次非線性%跌落遲擊
집중질량%현비량%역손건%유한원%삼차비선성%질락충격
concentrated tip mass%cantilever beam%critical component%finite element%cubic nonlinear%dropping impact
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。在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。
以三次非線性緩遲包裝繫統為研究對象，建立繫統跌落遲擊動力學方程；綜閤龍格－庫塔和有限元法設計動力學方程的求解算法；探討瞭集中質量和主體振動頻率對易損件響應的影響。數值分析錶明：繫統跌落遲擊過程，易損件最大位移和加速度響應均位于懸臂樑自由耑，易損件與主體連接部內應力最大；易損件相對主體質量較小時，繫統耦閤作用對易損件響應影響不明顯；隨集中質量增加或主體振動頻率嚮易損件第一階固有頻率接近時，易損件內應力響應、自由耑相對位移響應幅值顯著增大。在含彈性易損件產品繫統包裝設計中，連接部的內應力和易損件相對位移是關註的重要參數。研究結論可為帶集中質量懸臂樑產品緩遲包裝設計提供理論依據。
이삼차비선성완충포장계통위연구대상，건립계통질락충격동역학방정；종합룡격－고탑화유한원법설계동역학방정적구해산법；탐토료집중질량화주체진동빈솔대역손건향응적영향。수치분석표명：계통질락충격과정，역손건최대위이화가속도향응균위우현비량자유단，역손건여주체련접부내응력최대；역손건상대주체질량교소시，계통우합작용대역손건향응영향불명현；수집중질량증가혹주체진동빈솔향역손건제일계고유빈솔접근시，역손건내응력향응、자유단상대위이향응폭치현저증대。재함탄성역손건산품계통포장설계중，련접부적내응력화역손건상대위이시관주적중요삼수。연구결론가위대집중질량현비량산품완충포장설계제공이론의거。
In order to investigate the dropping shock characteristics of a cubic nonlinear system with a cantilever beam critical component attaching a concentrated tip mass,the dynamic model of the whole system was built.Runge-Kutta method and the finite element method were used to solve the system's dynamic equations,and the effects of the system parameters,such as,concentrated tip mass and natural frequencies of the main part on the responses of the critical component were studied.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 the joint point between the critical component and the main part;the effects of the coupling action of the system on the responses of the critical component can be ignored when its mass is much less than that of the main component;with increase in concentrated tip mass and /or the natural frequency of the main part close to the 1 st natural frequencu of the critical component,the free end of the critical component's response amplitudes increase obviously;in the packaging design of systems with elastic critical components,the internal stress at the joint point between the critical component and the main part and the relative displacement of the critical component are be parameters to evaluate if products are damaged.The results provided a theoretical foundation for the package cushioning design of this type systems.
