Buckling Analysis of Thin and Thick Cylindrical Shells Under Axial Load and External Pressure Based on First Order and Third Order Shear Deformation Theories

Document Type : Solid Mechanics

Authors

1 MSc, Department of Mechanical Engineering, Parand Branch, Islamic Azad University, Parand, Iran

2 Corresponding author: Associate Professor, Department of Mechanical Engineering, Parand Branch, Islamic Azad University, Parand, Iran

Abstract

In this paper, governing equilibrium equations for thin and thick-walled cylindrical shells based on the classic membrane and bending theories of shells using the first order shear deformation theory (FSDT) and the third order shear deformation theory (TSDT) in the three dimensional theory of elasticity for simply supported boundary conditions according to the buckling mode shapes for axial, circumferential and radial displacement field and subjected to axial and uniform external pressure buckling load have been derived. Then, the set of governing buckling equations of the shell for the axial, circumferential and radial displacements are numerically solved to obtain axial and circumferential critical buckling load. Moreover, to verify obtained results the shell subjected to axial buckling load has been modeled in ANSYS finite element software. The accuracy of obtained result to predict the critical axial load and external pressure buckling loads of the thin and thick shells have been compared with each other and the ones reported in the literature.

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References

[1] Ugural AC. Plates and shells: theory and analysis: CRC Press; 2017.##
[2] Timoshenko SP, Gere JM. Theory of elastic stability: Courier Corporation; 2009.##
[3] Danielson D, Simmonds J. Accurate buckling equations for arbitrary and cylindrical elastic shells. International Journal of Engineering Science. 1969;7(5):459-68.##
[4] Flügge W. Stresses in shells: Springer Science & Business Media; 2013.##
[5] Kardomateas G. Benchmark three-dimensional elasticity solutions for the buckling of thick orthotropic cylindrical shells. Composites Part B: Engineering. 1996;27(6):569-80.##
[6] Mirfakhraei P, Redekop D. Buckling of circular cylindrical shells by the differential quadrature method. International Journal of Pressure Vessels and Piping. 1998;75(4):347-53.##
[7] Redekop D, Makhoul E. Use of the differential quadrature method for the buckling analysis of cylindrical shell panels. Structural engineering and mechanics: An international journal. 2000;10(5):451-62.##
[8] Akbari Alashti R, Ahmadi S. Buckling analysis of functionally graded thick cylindrical shells with variable thickness using DQM. Arabian Journal for Science and Engineering. 2014;39(11):8121-33.##
[9] Satouri S, Kargarnovin M, Allahkarami F, Asanjarani A. Application of third order shear deformation theory in buckling analysis of 2D-functionally graded cylindrical shell reinforced by axial stiffeners. Composites Part B: Engineering. 2015;79:236-53.##
[10] Alibeigloo A, Rajaee Piteh Noee A. Static and free vibration analysis of sandwich cylindrical shell based on theory of elasticity and using DQM. Acta Mechanica. 2017;228(12):4123-40.##
[11] Maleki A, Ahmadi A. Buckling analysis of orthotropic thick cylindrical shells considering geometrical imperfection using differential quadrature method (DQM). Journal of Theoretical and Applied Mechanics. 2018;48(4):45-60.##
Aerospace Mechanics
Volume 18, Issue 2 - Serial Number 68
Serial No. 68, Summer Quarterly
August 2022
Pages 1-14

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History

  • Receive Date: 30 March 2020
  • Revise Date: 24 August 2021
  • Accept Date: 10 January 2022
  • Publish Date: 23 July 2022

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