Novel closed-form solutions in buckling of inhomogeneous columns under distributed variable loading

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

Article

Publication/Event/Conference Title

Chaos Solitons and Fractals

Publication Status

Version of Record

Abstract

In this study we consider buckling of columns with variable stiffness, under axially distributed loading varying polynomially. The objective is to obtain closed-form solutions for the buckling load. The problem is posed in inverse setting: determine the column's stiffness, so that it has the given, polynomial, buckling mode. Four sets of boundary conditions are investigated. Some perplexing results are obtained, namely, that irrespective of boundary conditions, the critical load of the column is the same, this occurs in conjunction with the fact that the obtained distribution for stiffness is different for each set of boundary conditions.

First Page

1075

Last Page

1089

DOI

10.1016/S0960-0779(00)00073-4

Publication Date

1-1-2001

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