Inhomogeneous beams that may possess a prescribed polynomial second mode

Author Type

Faculty

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

The stiffness variation of an inhomogeneous Bernoulli-Euler beam, whose second shape expressed as a polynomial function possesses a node at any pre-selected location is reconstructed. It is shown that for polynomial mode shapes there are regions of allowable position of the node for three specific cases studied in detail: a beam with constant mass density; linar mass density; and parabolically varying mass density.

First Page

881

Last Page

896

DOI

10.1016/S0960-0779(00)00043-6

Publication Date

1-4-2001

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