正交各向异性磁电弹性圆板的哈密顿体系方法  

Hamiltonian System Method of Orthotropic Magneto Electric-elastic Circular Plate

作　　者：王莉娜[1] 何文明[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2015年第2期19-27,共9页Journal of Wenzhou University(Natural Science Edition)

基　　金：国家自然科学基金(11171257)

摘　　要：基于哈密顿体系求解方法,针对具有轴对称性的正交各向异性磁电弹性圆板的弯曲问题进行求解.解决问题的基本思路为:首先将该问题的基本方程导入哈密顿体系,得到哈密顿方程;然后研究哈密顿方程的零本征值对应的本征解;最后得到原问题的解析解.与该问题的其它求解方法相比较,哈密顿体系方法具有明显的优越性.Based on the Hamiltonian-system’s solving method, this paper mainly solves the problems of axial-symmetry perpendicular-anisotropy of magnetic-elastic circular-plate’s solution. The basic train of thought to solve this problem is as follows. First, the basic equations of the problem have to be guideded into the Hamiltonian-system to get the Hamiltonian-equation. Then, the Hamiltonian-equation’s zero eigen value is studied as well as its corresponding eigen solution vector. Finally, the analytic solution of the original problem is obtained. It is obvious that Hamiltonian-system method possesses the superiority compared with other solutions of solving meothods.

关 键 词：正交各向异性 哈密顿体系方法 本征解 磁电弹性圆板 

分 类 号：O24[理学—计算数学]