The General Solution for the Stress Problem of Circular Cylindrical Shells with an Arbitrary Cutout

Liu Diankui; Hu Chao

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Liu Diankui, Hu Chao. The General Solution for the Stress Problem of Circular Cylindrical Shells with an Arbitrary Cutout[J]. Applied Mathematics and Mechanics, 1997, 18(7): 585-602.

Citation:

Liu Diankui, Hu Chao. The General Solution for the Stress Problem of Circular Cylindrical Shells with an Arbitrary Cutout[J]. Applied Mathematics and Mechanics, 1997, 18(7): 585-602.

Citation:

Liu Diankui, Hu Chao. The General Solution for the Stress Problem of Circular Cylindrical Shells with an Arbitrary Cutout[J]. Applied Mathematics and Mechanics, 1997, 18(7): 585-602.

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The General Solution for the Stress Problem of Circular Cylindrical Shells with an Arbitrary Cutout

Liu Diankui¹,
Hu Chao^1,2

1.
Harbin Engineering Universisy, Harbin 150001, P. R. China

Received Date: 1996-01-05
Rev Recd Date: 1997-02-17
Publish Date: 1997-07-15

Abstract

Abstract

In this paper a complex variable analytic method for solving stress concentrations in the circular cylindrical shell is proposed. The problem to be solved can be summarized into the solution of an infinite algebraic equation series. The solution canbe normal and effective by means of this method. Nunerical results for stress concentrations in the shell with a circular, elliplic cutout are graphically presented.
- circular cylindrical shell,
- non-circular cutout,
- Stress concentration,
- complex variable method and conformal mapping technique

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References(12)

References

[1]	А.И.Лурье,Кондетрадия надряжений вобласти отверстия на поврхностн круго дилипдра,ПММ (1946),6.
[2]	J.G,Lekkerkerker,Stress concentrations around circular holes in cylindrical shells,The XI Int,Congr,of Appl.Mech,Munich (Germany) (1963).
[3]	A,G,Eringen,et al,State of stress in a circular cylindrical shell with a circular hole,WRC Bulletin,(102) (1965).
[4]	V an P,Dyke,Stresses about a circular hole in a cylindrical shell,J.AI AA,3(9) (1965).
[5]	钱令希,圆柱壳开圆孔问题—单圆孔的基本解.大连工学院学报,(3),(4) (1965).
[6]	龙驭球、张铜生,椭圆抛物面扁壳某些应力集中问题,力学学报,8(2) (1965),101-117.
[7]	刘殿魁、盖秉政、陶贵源,论孔附近的动应力集中,力学学报特刊(1981).
[8]	C.R.Steel,et al,Stress analysis of nozzles in cylindrical vessels with egternal load,ASME Journal of Pressure Yessell Teehnologg,(105) (1983),191-200.
[9]	C,R.Steel,et al,An efficient camputational approach for a large opening in a cylindrical vessel,AS ME Journal of Pressure Tressel Technology,(108) (1986),436-442.
[10]	徐秉汉、裴俊厚、朱邦俊著,壳体开孔的理论与实验,国防工业出版社,北京(1987).
[11]	张S辛、黄克智、陆明万,圆柱壳开孔的应力分析,力学学报,23(6) (1991),700-705.
[12]	薛明德,国外关于圆柱壳开孔接管问题的研究概况,压力容器,8(2) (1991),9-15.