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The vibration and buckling of freely supported non-homogeneous orthotropic conical shells subjected to different uniform pressures

Authors
Journal
International Journal of Pressure Vessels and Piping
0308-0161
Publisher
Elsevier
Publication Date
Volume
86
Issue
10
Identifiers
DOI: 10.1016/j.ijpvp.2009.03.012
Keywords
  • Conical Shells
  • Non-Homogeneous Orthotropic Material
  • Vibration
  • Buckling
  • Hydrostatic And Lateral Pressures
  • Freely Supported

Abstract

Abstract The paper examines the vibration and stability of freely supported orthotropic truncated and complete conical shells with non-homogeneous material properties under uniform lateral and hydrostatic pressures. First, the basic relations have been obtained for orthotropic truncated conical shells, Young's moduli and density which vary continuously in the thickness direction. By applying the Galerkin method, the buckling pressures and lowest cyclic frequencies of truncated and complete conical shells are obtained. To verify the accuracy of the results, comparisons are made with results available in the open literature. This study also examines in detail the effects of the variations of conical shell characteristics, the effects of the non-homogeneity and the orthotropy on the critical pressures and lowest cyclic frequencies of truncated and complete conical shells.

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