Fifth-order polynomial that serves as both buckling and vibration mode of an inhomogeneous structure

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

Chaos Solitons and Fractals

Publication Status

Version of Record

Abstract

This paper studies vibration of inhomogeneous beams in the presence of the distributed axial loads. We postulate the mode shape to be a fifth-order polynomial that represents the static displacement of the associated homogeneous beam under the linear loading. The beam is reconstructed such that it possesses the postulated modes of vibration and of loss of stability. It must be noted that the reconstruction is possible in most of the considered cases.

First Page

1267

Last Page

1298

DOI

10.1016/S0960-0779(00)00014-X

Publication Date

1-1-2001

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