轴向可伸缩悬臂复合材料层合板横向振动的解析研究  

An Analytical Study on Transverse Vibration of Axially Telescopic Cantilever Composite Laminates

作　　者：高艳红 张伟[1] 吕书锋 Gao Yanhong;Zhang Wei;Lv Shufeng(Faculty of Materials and Manufacturing,Bejjing University of Technology,Bejjing 100124,China;College of Science,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]北京工业大学材料与制造学部,北京100124 [2]内蒙古工业大学理学院,呼和浩特010051

出　　处：《动力学与控制学报》2023年第1期45-50,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11832002)。

摘　　要：通过解析和数值方法对可伸缩悬臂复合材料层合板的时变动力学特性进行研究.根据经典层合板理论和Hamilton原理对面内激励和横向载荷共同作用下的可伸缩悬臂复合材料层合板进行线性动力学建模,选取符合可伸缩悬臂板位移边界条件的时变模态函数,利用Galerkin方法对所得的偏微分方程进行离散,得到复合材料层合板的时变常微分线性动力学方程.研究轴向移动速度对可伸缩悬臂板动力学特性的影响,并通过改进的多尺度法得到了一阶时变线性系统的解析解和数值解比较.结果表明,轴向移动速度对可伸缩悬臂板的动力学特性影响很大;相比文献[12],本文采取的改进的多尺度法对一阶线性时变系统更高效.The time-varying dynamic characteristics of telescopic cantilever composite laminates were studied by analytical and numerical methods.According to the classical laminate plate theory and Hamilton principle,a model of the telescopic cantilever composite laminate under in-plane excitation and lateral load was established.By choosing suitable time-varying modal functions,partial differential equations were discretized by Galerkin method.The time-varying ordinary differential linear dynamics equation is obtained.The effect of axially moving speed on dynamic characteristics of the telescopic cantilever plate is studied.The analytical solution obtained by an improved multi-scale method and numerical solution of the first-order time-varying linear system are compared.The results show that the axial speed has great influence on the dynamic characteristics of the telescopic cantilever plate.Compared with reference[12],the improved multi-scale method adopted in this paper is more efficient for first-order linear time-varying systems.

关 键 词：可伸缩悬臂板 线性时变系统 拓展的多尺度法 解析研究 

分 类 号：TB33[一般工业技术—材料科学与工程] O321[理学—一般力学与力学基础]