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Nonlinear oscillations and buckling of anisotropic cylindrical shells under large initial stresses

Published online by Cambridge University Press:  17 February 2009

Rasajit Kumar Bera
Rasajit Kumar Bera
Affiliation:
Department of Mathematics, Presidency College, Calcutta, 700073, West Bengal, India.
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Abstract

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The large-amplitude oscillations and buckling of an anisotropic cylindrical shell subjected to the initial inplane biaxial normal stresses have been analysed. The concept of anisotropy used by Lekhnitsky has been introduced into the field equations for cylindrical shells of isotropic material deduced by Donnell. The method of Galerkin and the method of successive approximation have been used to obtain the desired approximate solution. The expression for the critical loads for the buckling of anisotropic cylindrical shells has been obtained during intermediate stages of analysis. Some relevant frequency response graphs of the obtained solution are also presented. The minimum critical loads for various classes of anisotropy have also been given at the end of the discussion, to exhibit the effects of large deflections and imperfections on elastic buckling.

Type
Research Article
Information
The ANZIAM Journal , Volume 31 , Issue 3 , January 1990 , pp. 330 - 346
Copyright
Copyright © Australian Mathematical Society 1990

References

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