对边固支另两边简支矩形薄板弯曲问题的哈密顿方法  

The Hamiltonian Approach to the Bending Problem of Rectangular Thin Plate with Clamped and Simply Supported Boundary Conditions at two Opposite Sides

作　　者：朱晓双[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）》2014年第3期35-42,共8页Journal of Wenzhou University(Natural Science Edition)

摘　　要：利用哈密顿体系以及辛几何中的分离变量和本征函数展开的方法,给出了求解对边固支另两边简支的矩形薄板弯曲问题的方法,并通过实例计算和分析说明了该方法的正确性.A correct solution was put forward to the rectangular thin plate bending problem with clamped and simply supported boundary conditions at two opposite sides. With the Hamiltonian system, the analytical solution was derived through the methods of variables of separation and Eigen-function expansion in the simplistic geometry, and a real example was used to illustrate the correctness of the calculation method.

关 键 词：矩形薄板 哈密顿体系 分离变量 本征函数 

分 类 号：O24[理学—计算数学]