扁薄锥壳非对称大变形问题  

Non_Symmetrical Large Deformation of a Shallow Thin Conical Shell

作　　者：王新志[1,2] 赵永刚[1,2] 叶开沅 

机构地区：[1]甘肃工业大学 [2]兰州大学

出　　处：《应用数学和力学》1998年第10期847-857,共11页Applied Mathematics and Mechanics

摘　　要：本文用双参数摄动法研究了扁锥壳非对称大变形问题，求得了在线性载荷作用下的扁锥壳变形的三次近似解析解并绘出了摄动点的挠度与载荷的特征曲线·应用本文方法还可对其它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锥壳大挠度变形进行了讨论·In this paper, non_symmetrical large deformation problem of a shallow conical shell is studied by two_parameter perturbation method. The third_order approximate analytical soluion of the deformation of a shallow conical shell subjected to linear loads is obtained and the characteristic curves of load￣deflection on a perturbing point are portrayed. The similar questions of other kind of shell and plate can be discussed by using this paper's method. As the examples, the large deflection of plate and shallow conical shells with different initial deflections is discussed.

关 键 词：扁薄锥壳 大变形 双参数摄动法 非对称大变形 

分 类 号：O344.3[理学—固体力学]