Asymptotic solutions of the nonlinear stability of a truncated shallow spherical shell under a concentrated load

1991 ◽  
Vol 12 (3) ◽  
pp. 313-326 ◽  
Author(s):  
Kang Sheng-liane
Keyword(s):  
Spherical Shell ◽  
Nonlinear Stability ◽  
Shallow Spherical Shell ◽  
Asymptotic Solutions ◽  
Concentrated Load

Nonlinear Stability Analysis of the Vaulted Roofs With Corrosion Defects of Oil Storage Tank

2009 ◽  
Author(s):  
Baosheng Dong ◽  
Xinwei Zhao ◽  
Hongda Chen ◽  
Jinheng Luo ◽  
Zhixin Chen ◽  
...  
Keyword(s):  
Spherical Shell ◽  
Nonlinear Stability ◽  
Storage Tank ◽  
Critical Pressure ◽  
External Pressure ◽  
Shallow Spherical Shell ◽  
Nonlinear Stability Analysis ◽  
Spherical Shells ◽  
Oil Storage ◽  
Oil Storage Tank

The vaulted roofs of oil storage tank are usually designed as the shallow spherical shells subjecting to a uniform external pressure, which have been widely observed that these shallow spherical shells undergo various levels of corrosion in their employing conditions. It is important to assess the stability of these local weaken shallow spherical roofs due to corrosion for preventing them from occurring unexpected buckling failure. In this paper, the uniform eroded part of a shallow spherical oil tank vaulted roof is simplified as a shallow spherical shell with elastic supports. Based on the simplification, a general pathway to calculate the critical pressure of eroded shallow spherical shell is proposed. The modified iteration method considering large deflection of the shell is applied to solve the problem of nonlinear stability of the shallow spherical shells, and then the second-order approximate analytical solution is obtained. The critical pressure calculated by this method is consistent with the classical numerical results and nonlinear finite element method, and the calculation errors are less than 10%. It shows that it is feasible to apply the method proposed here.

Nonlinear stability of thin elastic circular shallow spherical shell under the action of uniform edge moment

1980 ◽  
Vol 1 (1) ◽  
pp. 71-90 ◽  
Author(s):  
Yeh Kai-yuan ◽  
Liu Zen-huai ◽  
Chang Chuan-dzi ◽  
Shue Ih-fan
Keyword(s):  
Spherical Shell ◽  
Nonlinear Stability ◽  
Shallow Spherical Shell

Nonlinear stability of double-deck reticulated circular shallow spherical shell

2010 ◽  
Vol 31 (3) ◽  
pp. 279-290 ◽  
Author(s):  
Jia-chu Xu ◽  
Yong Li ◽  
Fan Wang ◽  
Ren-huai Liu
Keyword(s):  
Spherical Shell ◽  
Nonlinear Stability ◽  
Shallow Spherical Shell
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