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

Pao Shih-hua; Long Yu-qiu

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Article Navigation > Applied Mathematics and Mechanics > 1981 > 2(6): 621-640

Pao Shih-hua, Long Yu-qiu. Analysis of Shallow Spherical Shell with Circular Base under Eccentrically Applied Concentrated Loads[J]. Applied Mathematics and Mechanics, 1981, 2(6): 621-640.

Citation:

Pao Shih-hua, Long Yu-qiu. Analysis of Shallow Spherical Shell with Circular Base under Eccentrically Applied Concentrated Loads[J]. Applied Mathematics and Mechanics, 1981, 2(6): 621-640.

Citation:

Pao Shih-hua, Long Yu-qiu. Analysis of Shallow Spherical Shell with Circular Base under Eccentrically Applied Concentrated Loads[J]. Applied Mathematics and Mechanics, 1981, 2(6): 621-640.

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

Tsing-Hua University, Beijing

Received Date: 1981-03-15
Publish Date: 1981-12-15

Abstract

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.

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References(14)

References

[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).