Exact solutions for buckling of some divergence-type nonconservative systems in terms of bessel and lommel functions

Author Type

Outside Researcher

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

Computer Methods in Applied Mechanics and Engineering

Publication Status

Version of Record

Abstract

Closed-form solutions for a divergence-type nonconservative system, that of the column under follower distributed forces, is given for three types of boundary conditions. The solution generalizes the previous classical studies by Pflüger, who found the solution for the column simply supported at its ends in terms of Bessel functions, as well as by Leipholz and Madan, who formulated the series solutions for the column clamped at one end, and simply supported or clamped at the other. In the present work the solution is formulated in terms of Bessel and Lommel functions, yielding exact characteristics equations, with attendant buckling loads found within any desired numerical accuracy. © 1988.

First Page

107

Last Page

119

DOI

10.1016/0045-7825(88)90062-X

Publication Date

1-1-1988

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