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Research Papers: Design and Analysis

Postbuckling of Shear Deformable Geodesically Stiffened Anisotropic Laminated Cylindrical Shell Under External Pressure

[+] Author and Article Information
Zhi-Min Li1

School of Mechanical Engineering and State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, Chinazmli@sjtu.edu.cn

Zhong-Qin Lin, Guan-Long Chen

School of Mechanical Engineering and State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China

1

Corresponding author.

J. Pressure Vessel Technol 133(2), 021204 (Feb 11, 2011) (13 pages) doi:10.1115/1.4001742 History: Received December 22, 2009; Revised April 22, 2010; Published February 11, 2011; Online February 11, 2011

A boundary layer theory for buckling and postbuckling of anisotropic laminated thin shells is extended to shear deformable stiffened anisotropic laminated shells. A postbuckling behavior is investigated for a shear deformable anisotropic laminated cylindrical shell with geodesical stiffener of finite length subjected to lateral or hydrostatic pressure. The material of each layer of the shell is assumed to be linearly elastic, anisotropic, and fiber-reinforced. The governing equations are based on a higher-order shear deformation shell theory with von Kármán–Donnell-type of kinematic nonlinearity and including the extension/twist, extension/flexural, and flexural/twist couplings. The nonlinear prebuckling deformations and initial geometric imperfections of the shell are both taken into account. A singular perturbation technique is employed to determine the buckling pressure and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling response of perfect and imperfect, moderately thick, geodesically stiffened shells, axial and ring stiffened shells, and unstiffened shells with different values of shell parameters and stacking sequence. The results confirm that there exists a circumferential stress along with an associate shear stress when the shell is subjected to lateral pressure. The postbuckling equilibrium path is stable for the moderately long shell under external pressure and the shell structure is virtually imperfection-insensitive.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Geometry and coordinate system of a stiffened cylindrical shell

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Figure 2

Comparison of postbuckling load-deflection curves for laminated composite cylindrical shell under lateral pressure

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Figure 3

Anisotropic effect on the postbuckling behavior of cylindrical shells under hydrostatic pressure: (a) load-shortening and (b) load-deflection

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Figure 4

Effect of shell geometric parameter on the postbuckling behavior of (152/602/−302/−452)T cylindrical shells under hydrostatic pressure: (a) load-shortening and (b) load-deflection

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Figure 5

Comparison of postbuckling behavior of (152/602/−302/−452)T and (−452/−302/602/152)T cylindrical shells with different layer number geodesic stiffener under hydrostatic pressure: (a) load-shortening and (b) load-deflection

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Figure 6

Effect on unit cells of geodesic stiffener on the postbuckling behavior of (152/602/−302/−452)T cylindrical shells under external pressure: (a) load-shortening and (b) load-deflection

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Figure 7

Effect of geodesic stiffener height on the postbuckling behavior of (152/602/−302/−452)T and (−452/−302/602/152)T cylindrical shells under hydrostatic pressure: (a) load-shortening and (b) load-deflection.

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