Experimental and numerical buckling analysis of toroidal shell segments under uniform external pressure

2020 ◽  
Vol 150 ◽  
pp. 106689 ◽  
Author(s):  
Jian Zhang ◽  
Xin Wang ◽  
Wenxian Tang ◽  
Fang Wang ◽  
Baoji Yin
2018 ◽  
Vol 40 (3) ◽  
pp. 285-301
Author(s):  
Hoang Van Tung ◽  
Pham Thanh Hieu

Buckling and postbuckling behaviors of Toroidal Shell Segment (TSS) reinforced by single-walled carbon nanotubes (SWCNT), surrounded by an elastic medium and subjected to uniform external pressure are investigated in this paper. Carbon nanotubes (CNTs) are reinforced into matrix phase by uniform distribution (UD) or functionally graded (FG) distribution along the thickness direction. Effective properties of carbon nanotube reinforced composite (CNTRC) are estimated by an extended rule of mixture through a micromechanical model. Governing equations for TSSs are based on the classical thin shell theory taking into account geometrical nonlinearity and surrounding elastic medium. Three-term solution of deflection and stress function are assumed to satisfy simply supported boundary condition, and Galerkin method is applied to obtain nonlinear load-deflection relation from which buckling loads and postbuckling equilibrium paths are determined. The effects of CNT volume fraction, distribution types, geometrical ratios and elastic foundation on the buckling and postbuckling behaviors of CNTRC TSSs are analyzed and discussed.


2012 ◽  
Vol 487 ◽  
pp. 237-241 ◽  
Author(s):  
Fan Bu ◽  
Cai Fu Qian ◽  
Xue Dong Chen ◽  
Tie Cheng Yang

In this paper, buckling analysis was carried out on a super-large storage tank under uniform external pressure or wind pressure with finite element method. The critical pressures and buckling deformation modes are obtained and the effects of wind girders and reinforcing rings are investigated. It is found that the critical external pressure of the tank under uniformly applied external pressure obtained by the eigenvalue method is smaller than that obtained by the nonlinear method. Buckling only occurs on the windward side of the tank under the wind pressure. As strengthened by the wind girders and reinforcing rings at the upper par of the tank, buckling deformations here are much smaller than those at the lower part of the tank.


Author(s):  
D. Redekop

A theoretical solution is given for the linearized buckling problem of an orthotropic toroidal shell with an elliptical cross-section under external pressure loading. The solution is based on the Sanders-Budiansky shell theory, and makes use of the harmonic differential quadrature method. Theory developed earlier for the buckling of orthotropic shells of revolution, and the vibration of orthotropic elliptical toroidal shells, is incorporated in the present work. Numerical results obtained from the solution are compared with results given in the literature, and good correspondence is generally observed. A parametric study is then conducted, covering a wide range of material and geometric parameters. Regression formulas are derived, indicating the variation of the buckling pressure with the degree of orthotropy of the material. Overall, the study introduces a new tool for the buckling analysis of elliptical toroidal shells, and extends the information available for orthotropic toroidal shells.


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