Effects of boundary conditions on the parametric resonance of cylindrical shells under axial loading

Article type: Research Article

Authors: Ng, T.Y. | Lam, K.Y.

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

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.

Journal: Shock and Vibration, vol. 5, no. 5-6, pp. 343-354, 1998