圆底扁球壳在偏心集中载荷下的计算

包世华; 龙驭球

圆底扁球壳在偏心集中载荷下的计算

清华大学

计量
- 文章访问数: 1609
- HTML全文浏览量: 82
- PDF下载量: 500
- 被引次数: 0
出版历程
- 收稿日期: 1981-03-15
- 刊出日期: 1981-12-15

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

Tsing-Hua University, Beijing

摘要

摘要: 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.

Abstract: 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.

HTML全文

参考文献(14)

[1]	Reissner,E.,Stresses and small displacements of shallow spherical shells,Jour.of Math,and Phys.,25,(1946).
[2]	Flugge,W.,Stresses in Shells,Springer-Verlag,(1960).
[3]	Koiter,W.T.,A spherical shell under point loads at its poles,Advances in Applied Mechanics,(1963).
[4]	Lukasiewicz,S.,Concentrated loads on shallow spherical shells,Quart,J.Mech.Appl.Math.,20,3,293-305,(1967).
[5]	Seide,P.,Small Elastic Deformations of Thin Shells,(1975).
[6]	Lukasiewicz,S.,Local Loads in Plates and Shells,Sijthoff & Noordhoff,(1979).
[7]	Коренев,Б.Г.,Некоюрые Забачц Теорцц Упруюсгпц ц Теплопровобносмцc Решаемще в Бесселевых Функчцях,Физматиз(1960).
[8]	Гнатыкив.В.Н.Неосесимметричная деформаяия пологой сферической оболочки.Тр.Коыфареыяии до пластин и оболочек,(01960),Казаыь,(1961),113-116.
[9]	Wilkinson,J.P.,and Kalnins,A.,Deformation of open spherical shells under arbitrarily located concentrated loads,J.Appl.Mech.,33,2,June,(1966).
[10]	龙驭球.圆底扁球壳的初参数解法,清华大学学报11卷2期.(1964).
[11]	Reissner,E.,On the determination of stresses and displacements for unsymmetricaldeformations of shallow spherical shells,Jour,of Math.and Phys.,38,(1959).
[12]	Watson,G.N.,Theory of Bessel Functions.
[13]	Градштейв.И.С.и Рыжик.И.М.,Таблццы цнмеiралов суцц,рядов и произведеыий,Фызматиз.,(1962).
[14]	Власов,В.З.,Общая Тсорця Оболочек.(1949).