Evaluating the efficiency of the reinforcement of a spherical shell with an initial deflection in static loading by external pressure

1989 ◽  
Vol 25 (4) ◽  
pp. 332-339
Author(s):  
I. Ya. Amiro
Keyword(s):  
Spherical Shell ◽  
Static Loading ◽  
External Pressure ◽  
Initial Deflection

Opening reinforcement design and buckling of spherical shell subjected to external pressure

2017 ◽  
Vol 158 ◽  
pp. 29-36 ◽  
Author(s):  
Yongmei Zhu ◽  
Qingli Ma ◽  
Jian Zhang ◽  
Wenxian Tang ◽  
Yongjian Dai
Keyword(s):  
Spherical Shell ◽  
External Pressure ◽  
Reinforcement Design

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.

Imperfection sensitivity of an orthotropic spherical shell under external pressure

2002 ◽  
Vol 37 (4-5) ◽  
pp. 669-686 ◽  
Author(s):  
H. Öry ◽  
H.-G. Reimerdes ◽  
T. Schmid ◽  
A. Rittweger ◽  
J. Gómez Garcı́a
Keyword(s):  
Spherical Shell ◽  
External Pressure ◽  
Imperfection Sensitivity ◽  
Orthotropic Spherical Shell

scholarly journals On Perturbation Solutions for Axisymmetric Bending Boundary Values of a Deep Thin Spherical Shell

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Rong Xiao ◽  
Danhui Dan ◽  
Wei Cheng
Keyword(s):  
Spherical Shell ◽  
Nonlinear Response ◽  
Fundamental Equation ◽  
Expansion Method ◽  
External Pressure ◽  
Displacement Component ◽  
Moment Theory ◽  
Axisymmetric Bending ◽  
Thin Spherical Shell ◽  
The Moment

On the basis of the general theory of elastic thin shells and the Kirchhoff-Love hypothesis, a fundamental equation for a thin shell under the moment theory is established. In this study, the author derives Reissner’s equation with a transverse shear forceQ1and the displacement componentw. These basic unknown quantities are derived considering the axisymmetry of the deep, thin spherical shell and manage to constitute a boundary value question of axisymmetric bending of the deep thin spherical shell under boundary conditions. The asymptotic solution is obtained by the composite expansion method. At the end of this paper, to prove the correctness and accuracy of the derivation, an example is given to compare the numerical solution by ANSYS and the perturbation solution. Meanwhile, the effects of material and geometric parameters on the nonlinear response of axisymmetric deep thin spherical shell under uniform external pressure are also analyzed in this paper.

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