精密包装弹性支撑缓冲系统振动特性修正模型及分析  

Correction model and analysis of vibration characteristics of a precision packaging elastic support cushioning system

作　　者：严国平 彭震奥 钟飞[1] 于道航 周宏娣 杨小俊[1] YAN Guoping;PENG Zhen’ao;ZHONG Fei;YU Daohang;ZHOU Hongdi;YANG Xiaojun(School of Mechanical Engineering,Hubei University of Technology,Wuhan 430068,China)

机构地区：[1]湖北工业大学机械工程学院,武汉430068

出　　处：《振动与冲击》2021年第22期251-258,共8页Journal of Vibration and Shock

基　　金：湖北省200W重大专项(2018AAA026);湖北省自然科学基金(2019CFB326);湖北工业大学博士启动基金(BSQD2016003)。

摘　　要：为精确分析精密包装弹性支撑缓冲系统振动特性,该研究提出了一种考虑横向弹簧径向刚度的六自由度动力学数学修正模型并完成了求解验证。根据能量法建立了弹性支承缓冲系统的六自由度动力学数学模型,进一步地引入横向弹簧的径向刚度,提出了相应的动力学修正模型;利用四阶龙格库塔法对各因素下的精密包装弹性支撑缓冲系统振动特性进行了数值分析,得到各工况及多因素下的振动特性对比结果;通过多因素试验对该理论修正模型进行了验证。结果表明,精密包装弹性支撑缓冲系统纵向固有频率随着横向弹簧刚度及轴向压紧力的增大而增大,振动响应幅值在共振点处明显提高,峰值点也明显后移,实际运输过程中需注意弹性支撑缓冲系统横向弹簧刚度及其轴向预压力的选择与调节。分析精密包装弹性支撑缓冲系统振动特性时考虑横向弹簧径向刚度的影响将有助于提高系统振动特性的分析精度。In order to accurately analyze the vibration characteristics of an elastic support cushioning system for precision packaging,a six-degree-of-freedom dynamics mathematical improvement model was proposed to consider the radial stiffness of the transverse spring,and the solution verification was completed.Firstly,a six-degree-of-freedom dynamics mathematical model of the elastic support cushioning system was established according to the energy method.Furthermore,the radial stiffness of the transverse spring was described,and the corresponding dynamic correction model was proposed.Then,the fourth-order Runge-Kutta method was used to analyze the vibration characteristics of the system under multiple factors conditions.Some results of the numerical analysis and the comparison were obtained.Finally,the modified theoretical model was verified through multi-factor experiments.The results show that the longitudinal natural frequency of the precision packaging elastic support cushioning system increases with the increase of the transverse spring stiffness and the axial compression force.The vibration response amplitude increases significantly at the resonance point,and the peak point also shifts back apparently.It is concluded that considering the influence of the radial stiffness of the transverse spring will improve the analysis accuracy of the system vibration characteristics.In the actual transportation process,attention should be paid to the selection and adjustment of the lateral spring stiffness and its axial pre-pressure.

关 键 词：弹性支撑缓冲系统 振动特性 径向刚度 数值分析 试验验证 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3