New analytical solutions for free vibration of embedded magneto-electro-elastic cylindrical shells with step-wise thickness variations  

作　　者：Jufang JIA Huilin YIN Qinyu YU Jiabin SUN Xinsheng XU Zhenhuan ZHOU 

机构地区：[1]School of Mechanical Engineering and Automation,Dalian Polytechnic University,Dalian 116034,Liaoning Province,China [2]State Key Laboratory of Structural Analysis,Optimization and CAE Software for Industrial Equipment,School of Mechanics and Aerospace Engineering,Dalian University of Technology,Dalian 116024,Liaoning Province,China [3]State Key Laboratory of Structural Analysis,Optimization and CAE Software for Industrial Equipment,School of Chemical Engineering,Ocean and Life Sciences,Dalian University of Technology,Panjin 124221,Liaoning Province,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2025年第3期447-466,共20页应用数学和力学(英文版)

基　　金：Project supported by the Science and Technology Plan Joint Program of Liaoning Province of China(Natural Science Foundation-Doctoral Research Launch Project)(No.2024-BSLH-027);the Fundamental Research Funds for Undergraduate Universities of Liaoning Province of China(No.LJBKY2024033);the National Natural Science Foundation of China(No.12472064);the Natural Science Foundation of Liaoning Province of China(No.2023-MS-118)。

摘　　要：In recent years,magneto-electro-elastic(MEE)cylindrical shells with step-wise thicknesses have shown significant potential in the field of vibration energy harvesting.To aid the design of such energy harvesting devices,an accurate free vibration analysis of embedded MEE cylindrical shells with step-wise thicknesses is performed within the framework of symplectic mechanics.By using the Legendre transformation,a new known vector is defined to transform the higher-order partial differential governing equations into a set of lower-order ordinary differential equations.Therefore,the original vibration analysis is regarded as an eigen problem in the symplectic space,and analytical solutions can be represented by the symplectic series.In numerical examples,the new analytical solutions are compared with the existing results,and good agreement is observed.Furthermore,the effects of critical design parameters on free vibration characteristics are thoroughly investigated.All numerical results can serve as benchmarks for the development of other approximate or numerical methods.

关 键 词：analytical solution free vibration magneto-electro-elastic(MEE)material cylindrical shell with variable thickness symplectic method 

分 类 号：O17[理学—数学]