Exact solution for axisymmetric buckling of laminated annular plates

Author Type

Faculty

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Conference Proceeding

Publication/Event/Conference Title

American Society of Mechanical Engineers Aerospace Division Publication AD

Publication Status

Version of Record

Abstract

This paper deals with the axisymmetric buckling of quasi-heterogeneous laminated annular plates, composed of isotropic layers. The solution is based on the buckling theory of laminated plates and is exact within the assumptions underlying this theory. Buckling equation is represented by a nonhomogeneous Bessel equation. By integrating the axisymmetric buckling equation in terms of the transverse deflection of the buckled plate, the solution is written in terms of Bessel and Lommel functions, and the eigenvalue problem is solved in its most general form. It is then possible to satisfy any combination of homogeneous boundary conditions at the inner and outer edges. It is shown that the present solution apparently includes, as particular limiting cases, all previously known solutions for axisymmetric buckling of annular isotropic homogeneous or heterogeneous plates under uniform forces at the inner and/or outer edges.

First Page

191

Last Page

203

Publication Date

12-1-1993

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