Static/dynamic Analysis of Functionally Graded and Layered Magneto-electro-elastic Plate/pipe under Hamiltonian System

The 3-dimensional couple equations of magneto-electro-elastic structures are derived under Hamiltonian system based on the Hamilton principle. The problem of single sort of variables is converted into the problem of double sorts of variables, and the Hamilton canonical equations are established. The 3-dimensional problem of magneto-electro-elastic structure which is investigated in Euclidean space commonly is converted into symplectic system. At the same time the Lagrange system is converted into Hamiltonlan system. As an example, the dynamic characteristics of the simply supported functionally graded magneto-electro-elastic material (FGMM) plate and pipe are investigated. Finally, the problem is solved by symplectic algorithm. The results show that the physical quantifies of displace-ment, electric potential and magnetic potential etc. change continuously at the interfaces between layers under the transverse pressure while some other physical quantifies such as the stress, electric and magnetic displacement are not continuous. The dynamic stiffness is increased by the piezoelectric effect while decreased by the piezomagnetic effect.

作 者： Dai Haitao Cheng Wei Li Mingzhi   作者單位： Dai Haitao,Cheng Wei(school of Aeronautic Science and Engineering, Belting University of Aeronautics and Astronautics, Beijing 100083, China)

Li Mingzhi(Machinery and Electricity Engineering College, Shihezi University, Shihezi 832000, China) 

刊 名： 中國航空學報（英文版）  ISTIC 英文刊名： CHINESE JOURNAL OF AERONAUTICS  年，卷(期)： 2008 21(1)  分類號： V2  關鍵詞： functionally graded magneto-electro-elastic material   Hamiltonian system   symplectic algorithm  

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