Some unexpected results in vibration of non-homogeneous beams on elastic foundation

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

A special class of inverse vibration problems is studied in this investigation. We pose the following problem: Find the spatial distribution of the material density and the elastic stiffness of an inhomgeneous beam on elastic formulation so that the vibration mode shape constitutes a preselected function, namely the static deflection of the associated homogeneous beam under some simple loading conditions. Four sets of boundary conditions are considered, in context of polynomial representation of the material density and stiffness. It turns out unexpectedly, that irrespective of the boundary condition, the natural frequency is given by the same analytical formula. © 2001 Elsevier Science Ltd.

First Page

2177

Last Page

2218

DOI

10.1016/S0960-0779(00)00123-5

Publication Date

1-1-2001

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