摘要
本文首先导出变厚度圆柱型正交各向异性圆形薄板的非线性非对称弯曲的基本方程，利用“两变量法”，引进四个小参数，对厚度线性变化的圆柱型正交各向异性圆形薄板的非线性非对称弯曲问题进行研究，得到了挠度函数W（r，θ）和应力函数F（r，θ）对ε1为N阶及对ε2为M阶的一致有效渐近解．
To begin with, in this paper, the governing equations of the problem of thenon-linear unsymmetrical bending for culindrically orthotropic circular thinplate with variable thickness are derived. By using 'the method of two-variable'and introducing four small parameters, the problem of the non-linear unsymme trical bending for cylindrically ortropic circular thin plato with linear vari able thickness is studied, and the uniformly valid asymptotie soltion of Nth order for ε1 and Mth-order for ε2 is obtainod.
出处
《应用数学和力学》
CSCD
北大核心
1997年第3期261-276,共16页
Applied Mathematics and Mechanics
关键词
正交各向异性
圆板
非线性
非对称
薄板
弯曲
orthotropic circular plate with variable thickness
non-linear unsymrnetrical bending
method of two-variable
the uniformly valid asymptoticsolution.
