正交各向异性板的非对称大变形问题  

Unsymmetrical Large Deformation Problem of Orthotropic Plates

作　　者：王新志[1] 赵永刚[1] 叶开沅[2] 黄达文[1] 

机构地区：[1]甘肃工业大学基础科学系,兰州730050 [2]兰州大学物理学院,兰州730050

出　　处：《应用数学和力学》2002年第9期881-888,共8页Applied Mathematics and Mechanics

基　　金：甘肃工业大学科研基金 (92 114 )

摘　　要：从各向异性板的基本理论出发 ,推导出正交各向异性圆板的非对称大变形基本方程 ,利用Fourier级数把问题的偏微分方程转化为一组可积分求解的非线性常微分方程 ,并给出利用迭代法求解该问题的基本方法·Based upon the theory of anisotropic plates, the unsymmetrical large deformation equations of orthotropic circular plates were derived. By using Fourier series, the partial differential equations of this problem can be transformed into sets of non_linear differential equations. And the procedure to solve the problem using the iterative method is given.

关 键 词：正交各向异性 圆薄板 非对称 大变形 迭代法 

分 类 号：TB11[理学—数学]