圆底扁球壳在偏心集中载荷下的计算

本文讨论圆底扁球壳在非对称载荷下的计算.给出了六种偏心集中载荷下的解,它们是:1.法向集中力,2.经线切向集中力,3.纬线切向集中力,4.切面内集中力偶.5.经线法面内集中力偶,6.纬线法面内集中力偶.此外,由偏心集中载荷的解还导出了按cosnθ分布的环形线载荷的解.

Analysis of Shallow Spherical Shell with Circular Base under Eccentrically Applied Concentrated Loads

In this paper, problems of a shallow spherical shell with circular base under eccentrically applied concentrated loads are discussed. The solutions for six cases of eccentrically applied concentrated loads are given. They are:① Normal concentrated load,② Meridional tangential concentrated load,③ Circumferential tangential concentrated load,④ Concentrated moment in the tangential plane,⑤ Concentrated moment in the meridional normal plane,⑥ Concentrated moment in the circumferential normal plane.From the solutions of concentrated loads, the solutions of distributed line loads in the form of cos(nθ) along the circle are obtained.