Buckling of Thick Orthotropic Cylindrical Shells Under Torsion

[+] Author and Article Information
Y. S. Kim, G. A. Kardomateas, A. Zureick

School of Civil and Environmental Engineering. Georgia Institute of Technology, Atlanta, GA 30332

J. Appl. Mech 66(1), 41-50 (Mar 01, 1999) (10 pages) doi:10.1115/1.2789167 History: Received February 10, 1998; Revised May 12, 1998; Online October 25, 2007


A three-dimensional elasticity solution to the problem of buckling of orthotropic cylindrical shells under torsion is presented. A mixed form of the Galerkin method with a series of Legendre polynomials in the thickness coordinate has been applied to solve the governing differential equations. The accuracy of existing shell theory solutions has been assessed through a comparison study for both isotropic and orthotropic cylinders. For isotropic cylinders the solutions based on the Donnell shell theory were found to predict nonconservative values for the critical loads. As the circumferential wave numbers increase, shell theory solutions provide more accurate values. For orthotropic cylinders, the classical shell theory predicts much higher critical loads for a relatively short and thick cylinder, while the shear deformation theories provide results reasonably close to the elasticity solutions. Detailed data are also presented for the critical torsional loads over a wide range of length ratios and radius ratios for isotropic, glass/epoxy, and graphite/epoxy cylinders.

Copyright © 1999 by The American Society of Mechanical Engineers
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