On the feasibility of variable separation method based on Hamiltonian system for plane magnetoelectroelastic solids  

作　　者：侯国林 阿拉坦仓 

机构地区：[1]Department of Mathematics, College of Science and Technology, Inner Mongolia University

出　　处：《Chinese Physics B》2008年第8期2753-2758,共6页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No 10562002);the Natural Science Foundation of Inner Mongolia, China (Grant No 200508010103);the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No 20070126002);the Inner Mongolia University Doctoral Scientific Research Starting Foundation

摘　　要：The eigenvalue problem of an infinite-dimensional Hamiltonian operator appearing in the isotropic plane magnetoelectroelastic solids is studied. First, all the eigenvalues and their eigenfunctions in a rectangular domain are solved directly. Then the completeness of the eigenfunction system is proved, which offers a theoretic guarantee of the feasibility of variable separation method based on a Hamiltonian system for isotropic plane magnetoelectroelastic solids. Finally, the general solution for the equation in the rectangular domain is obtained by using the symplectic Fourier expansion method.The eigenvalue problem of an infinite-dimensional Hamiltonian operator appearing in the isotropic plane magnetoelectroelastic solids is studied. First, all the eigenvalues and their eigenfunctions in a rectangular domain are solved directly. Then the completeness of the eigenfunction system is proved, which offers a theoretic guarantee of the feasibility of variable separation method based on a Hamiltonian system for isotropic plane magnetoelectroelastic solids. Finally, the general solution for the equation in the rectangular domain is obtained by using the symplectic Fourier expansion method.

关 键 词：magnetoelectroelastic solid variable separation method COMPLETENESS general solution 

分 类 号：O316[理学—一般力学与力学基础]