矩形波下斜支承系统关键件的动力学特性  

Study on Dynamic Characteristics of Critical Components of Tilted Support Spring System under Rectangular Pulse

作　　者：段宁宁 林渊智 DUAN Ningning;LIN Yuanzhi(School of Ocean Science And Biochemistry Engineering,Fujian Polytechnic Normal University,Fuqing,Fujian 350300,China;b.Engineering Research Center of Soft Plastic Packaging Technology for Food in Fujian Institution of Higher Learning,Fujian Polytechnic Normal University,Fuqing,Fujian 350300,China)

机构地区：[1]福建技术师范学院海洋与生化工程学院,福建福清350300 [2]福建技术师范学院食品软塑包装技术福建省高校工程研究中心,福建福清350300

出　　处：《福建师大福清分校学报》2020年第2期21-25,共5页Journal of Fuqing Branch of Fujian Normal University

基　　金：福建省教育厅中青年教师教育科研项目(JT180620);福州市科技计划项目(2018-G-61);福建省科技计划项目(2019H6026)

摘　　要：根据斜支承缓冲减振系统的简化模型,列出系统受矩形波作用下的无量纲动力学方程.利用Runge-Kutta法对方程进行求解,将关键部件最大加速度与脉冲激励幅值的比值作为反映系统动力学放大因子,脉冲激励时间作为变量,绘制关键部件的二维冲击响应谱.探讨了系统倾斜角度、质量比、频率比等对关键部件冲击响应谱的影响规律.结果表明,减小支承角、频率比增加、低频率比下增大质量比等可有效抑制关键部件最大加速度;随系统主体阻尼比变大,关键部件最大加速度随之显著变大.According to the simplified model of tilted support spring vibration reduced system,the dimensionless kinetic equations under a rectangular pulse were obtained.Then,the numerical results of the equation were solved by a Runge-Kutta method.The ratio of the maximum acceleration to the peak pulse of the critical components and the pulse duration were applied as amplification factor for system dynamics response spectra and pulse excitation time was employed as variable to produce two-dimensional shock response spectra of the critical components.The influencing rules of the critical components,such as the system tilted ratio,the mass ratio and the frequency ratio were under discussion.The results show that reducing the angle,adding the frequency ratio or increasing mass ratio at a low frequency ratio rather than an increase of the mass ratio can effectively control the maximum acceleration of critical components,and with the increase of tilted support springs damping ratio,the maximum shock response acceleration can increase correspondingly.

关 键 词：斜支承 动力学特性 RUNGE-KUTTA法 矩形波形 

分 类 号：O313.2[理学—一般力学与力学基础]