功能梯度三相复合材料圆柱壳固有振动特性分析  

Free Vibration Charateristics of Functionally Graded Three-Phase Composite Cylindrical Shells

作　　者：段金秋 刘涛[1] 郑岩 Duan Jinqiu;Liu Tao;Zheng Yan(Faculty of Materials and Manufacturing,Beijing University of Technology,Beijing 100124,China;College of Basic Education,Beijing Institute of Graphic Communication,Beijing 102600,China)

机构地区：[1]北京工业大学材料与制造学部,北京100124 [2]北京印刷学院基础教育学院,北京102600

出　　处：《动力学与控制学报》2024年第4期30-37,共8页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(12202018);中国博士后科学基金资助项目(2021TQ0021,2022M710280);北京市与朝阳区博士后科研活动经费资助;北京印刷学院资助项目(20190123083,27170123038)。

摘　　要：本文以一种石墨烯与碳纤维协同增强三相复合材料圆柱壳为研究对象,研究了在任意边界条件下该新型功能梯度三相复合材料圆柱壳的自由振动特性.首先,基于一阶剪切变形理论、Von-Karman几何非线性关系和Hamilton原理,推导了三相复合材料圆柱壳结构运动控制方程.然后,应用Galerkin法离散求解三相复合材料圆柱壳的固有频率和模态振型.最后通过将本文方法与Abaqus仿真结果进行对比,验证了本文方法的准确性.此外,本文进一步分析了石墨烯质量分数、功能梯度形式和边界条件等不同因素对新型三相复合材料圆柱壳固有振动特性的影响.The free vibration characteristics of a cylindrical shell of a functionally graded three-phase composite are investigated under arbitrary boundary conditions.The novel three-phase composite is composed of graphene platelets(GPLs)in the form of functional gradient,carbon fibers with different layup angles and epoxy resin matrix.Firstly,the governing equations of motion for the cylindrical shell structure of the three-phase composite are derived based on the first-order shear deformation theory(FSDT),the Von-Karman geometric nonlinear relationship and Hamilton’s principle.Then,the natural frequencies and mode shapes of the three-phase composite cylindrical shell were discretely solved by applying the Galerkin method.Finally,the accuracy of this paper’s method is verified by comparing it with Abaqus simulation results.In addition,the effects of GPLs mass fraction,functional gradient form and boundary conditions on the intrinsic vibration characteristics of three-phase composite cylindrical shells are analyzed.

关 键 词：圆柱壳 三相复合材料 石墨烯 固有振动特性 

分 类 号：O321[理学—一般力学与力学基础]