曲边固支双稳态层合壳结构的自由振动分析  

Free vibration of bi-stable laminated shell structures with one curve edge clamped

作　　者：方帆 郝育新[1] FANG Fan;HAO Yuxin(Mechanical Electrical Engineering School,Beijing Information Science&Technology University,Beijing 100192,China)

机构地区：[1]北京信息科技大学机电工程学院,北京100192

出　　处：《北京信息科技大学学报（自然科学版）》2023年第2期1-8,共8页Journal of Beijing Information Science and Technology University

基　　金：国家自然科学基金资助项目(11872127)。

摘　　要：以一条曲边固支、其余边自由的双稳态层合壳结构为研究对象,对具有非对称和反对称铺设的双稳态层合壳结构振动特性进行了研究。首先利用有限元方法得到其稳态构型;然后基于一阶剪切变形理论和瑞利-里兹(Rayleigh-Ritz)法获得系统的自由振动方程,得到曲边固支双稳态层合壳的模态和频率,通过与已有文献结果和ABAQUS有限元结果进行对比,验证了该方法的正确性;最后研究了几何参数对曲边固支双稳态层合壳结构的固有频率和振型的影响。The vibration characteristics of bi-stable laminated shell structures with asymmetric and antisymmetric stacking sequence were studied by taking the bi-stable laminated shell structures with one curve edge clamped and the other edges free as the research object.Firstly,the stable configuration of the system was obtained by finite element method.The free vibration equations of the system,the modes and frequencies of the bi-stable laminated shell were obtained based on the first-order shear deformation theory and Rayleigh-Ritz method.The correctness of the proposed method was verified by comparing with the existing literature results and ABAQUS finite element results.Finally,the effects of geometrical parameters on the natural frequencies and vibration modes of the bi-stable laminated shell sturcture with one curve edge clamped were studied.

关 键 词：双稳态层合壳结构 自由振动 曲边固支 瑞利-里兹法 

分 类 号：TB123[理学—工程力学] TB34[理学—力学]