Closed Form Trigonometric Solution of Inhomogeneous Beam-Columns: Buckling Problem

Author Type

Outside Researcher

Co-Author Type 1

Faculty

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

CISM International Centre for Mechanical Sciences Courses and Lectures

Publication Status

Version of Record

Abstract

In this study four cases of harmonically varying buckling modes are postulated and semi-inverse problems are solved that result in the distributions of the flexural rigidity compatible to the pre-selected modes and to specified axial load distributions. In all cases the closed-form solutions are obtained for the eigenvalue parameter. For comparison the obtained closed form solution is contrasted with an approximate solution based on an appropriate polynomial shape, serving as trial function in an energy method.

First Page

455

Last Page

474

DOI

10.1007/978-3-211-70963-4_16

Publication Date

1-1-2007

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