Effects of Boundary Conditions on the Parametric Resonance of Cylindrical Shells under Axial LoadingReport as inadecuate




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Shock and Vibration - Volume 5 1998, Issue 5-6, Pages 343-354

Centre for Computational Mechanics, Department of Mechanical & Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, 119260, Singapore

Received 9 January 1998; Revised 6 November 1998

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper, a formulation for the dynamic stability analysis of circular cylindrical shells under axial compression with various boundary conditions is presented. The present study uses Love’s first approximation theory for thin shells and the characteristic beam functions as approximate axial modal functions. Applying the Ritz procedure to the Lagrangian energy expression yields a system of Mathieu–Hill equations the stability of which is analyzed using Bolotin’s method. The present study examines the effects of different boundary conditions on the parametric response of homogeneous isotropic cylindrical shells for various transverse modes and length parameters.





Author: T.Y. Ng and K.Y. Lam

Source: https://www.hindawi.com/



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