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Analytical and Numerical Investigations on Buckling of an Axially Compressed Cylindrical Panel with Specific Boundary Condition


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DOI: https://doi.org/10.15866/ireme.v9i2.3315

Abstract


In this paper, the stability of cylindrical panels with circular cross section in elastic form is estimated using both analytical and Numerical methods. The Donnell equations for linear buckling of cylindrical shells are assumed and finally the equations are resulted to numerical values with the use of Galerkin method. Boundary condition in this case is such that the two curved edges are simply supported and two straight edges are free. The effects of geometrical parameters such as thickness, radius, length and central angle on buckling of cylindrical shells have been investigated both numerically and analytically. Also, the results of both methods are presented in figures.
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Keywords


Buckling; Cylindrical Panels; Critical Stress; Finite Element Method

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References


The Stability of Elastic Equilibrium by W. T. Koiter, PhD Thesis, 1945.

Wang C.M, Reddy J.N., Exact solution for buckling of structural members, Computational Mechanics, Texas A&M University, 2005.

Timoshenko SP, Gere JM. Theory of elastic stability. New York: McGraw-Hill; 1961.

Donnell LH. Beams, plates and shells. New York: McGraw-Hill; 1976.

Mahmoud Shariati, Masoud Mahdizade Rokhi, Numerical and experimental investigations on buckling of steel cylindrical shells with elliptical cutout subject to axial compression,Thin- walled structures, Shahrood university of technology; 46(2008), pp. 1251-1261.
http://dx.doi.org/10.1016/j.tws.2008.02.005

Gibson J.E., Thin shells, Structures and solid body mechanics series, 1980.
http://dx.doi.org/10.1016/b978-0-08-023275-1.50001-2

Mahmoud Shariati, Masoud Mahdizade Rokhi, Buckling of steel cylindrical shells with an elliptical cutout, International journal of steel structures, Shahrood university of technology; 10(2), 2010, pp. 193-205.
http://dx.doi.org/10.1007/bf03215830

B.O.Almorth, D.O.Brush, Buckling of bars, plates, and shells, McGraw-Hill, New York, NY, USA, 1975.

Yamaki N, Elastic stability of circular cylindrical shells, North Holland, 1984.
http://dx.doi.org/10.1002/zamm.19860660307

Batdorf S, A simplified method of elastic stability analysis for thin cylindrical shells, NACA Report No.874, 1947.

Yang TH, Guralnick SA. Buckling of axially loaded open shells. J Eng Mech Div 1976;2:177-205.

Tovstik PE. Stability of thin-walled shells. Asymptotic methods. Moscow: Nauka, Fizmatlit; 1995.

Magnucki K, Mackiewicz M., Elastic buckling of an axially compressed cylindrical panel with three edges simply supported and one edge free, Thin-walled structures, 2006,pp. 387-392.
http://dx.doi.org/10.1016/j.tws.2006.04.004

R. Wilde, P. Zawodny, K. Magnucki, Critical state of an axially compressed cylindrical panel with three edges simply supported and one edge free, Thin-Walled Structures, Volume 45, Issues 10–11, October–November 2007, Pages 955-959.
http://dx.doi.org/10.1016/j.tws.2007.08.035

Bazant Z, Cedolin L, Stability of structures. New York, Oxford: Oxford University Press;1991.

Magnucka E, Magnucki K., Elastic buckling of an axially compressed open circular cylindrical shell, proc appl math mech, pamm 2004,pp. 546-7.
http://dx.doi.org/10.1002/pamm.200410254

Claes Johnson, Numerical solution of partial differential equations by the Finite element method, Cambridge University Press, New; 2009.
http://dx.doi.org/10.1007/bf00046566

ABAQUS 6.6, User's manual.

Hong-Yi Chen, R. Wortis, and W. A. Atkinson, Disorder-induced Zero-bias anomaly in the Anderson-Hubbard model: Numerical And analytical method, Phys. Rev. B 84, 045113 –12 July 2011.
http://dx.doi.org/10.1103/physrevb.84.045113

E. Zhu,P. Mandal, C.R. Calladine, Buckling of thin cylindrical shells: an attempt to resolve a paradox, International Journal of Mechanical Sciences, 44 (2002) 1583–1601.
http://dx.doi.org/10.1016/s0020-7403(02)00065-6


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