Extension of Euler's problem to axially graded columns: Two hundred and sixty years later

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

Journal of Intelligent Material Systems and Structures

Publication Status

Version of Record

Abstract

A closed-form solution is obtained for the mode shape and the buckling load of an axially graded column that is clamped at one end and subjected to a concentrated load at the other. A semi-inverse method is employed to obtain the spatial distribution of the elastic modulus variation. A remarkable conclusion is reached on the existence of three columns with different elastic modulus variations, with the same analytical expression of the buckling load. The mode shape of one of the columns is represented by a rational expression while the other two involve irrational numbers.

First Page

77

Last Page

83

DOI

10.1177/1045389X05047598

Publication Date

1-1-2005

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