扁薄球壳非对称大变形问题  

Non-Symmetrical Large Deformation of a Shallow Thin Spherical Shell

作　　者：王新志[1] 任冬云[1] 王林祥[1] 叶开沅[1] 

机构地区：[1]甘肃工业大学,兰州大学

出　　处：《应用数学和力学》1996年第8期667-683,共17页Applied Mathematics and Mechanics

摘　　要：本文用修正选代法研究了扁球壳非对称大变形问题，求得了在线性液体载荷作用下的扁球壳变形的二次近似解析解并绘出了摄动点的挠度与载荷的特征曲线族．应用本文方法还可对其他板壳的非轴对称大变形问题进行讨论．本文通过算例对平板及不同初挠度的扁球壳大挠度变形进行了讨论．By the modified iteration method, in this paper, nonsymmetrical large deflection of a shallow spherical shell is discussed. We solve the second-order approximate analytical solution of the deflection of a shallow spherical shell subjected to linear liquid loads, and portray the characteristic curves of load-deflection on a perturbing point. With this paper 's method, the similar questions of other kind of shell can be discussed. Through the examples, we discuss the large deflection of a plane and shallow spherical shells with different initial deflections.

关 键 词：迭代法 扁球壳 大变形 非对称 变形 

分 类 号：O344.3[理学—固体力学]