Class of analytical closed-form polynomial solutions for guided-pinned inhomogeneous beams

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

In this study, new closed-form solutions for the natural frequency are derived for a beam guided at one end and pinned at the other end. As in Elishakoff and Guede, we preselected a function that is postulated to be the mode shape of the beam. Then, the stiffness and the material density are taken as a polynomial function of specific order. Finally, from the governing equation of a vibrating beam, we express new closed-form solutions for the natural frequency.

First Page

1509

Last Page

1534

DOI

10.1016/S0960-0779(00)00124-7

Publication Date

1-1-2001

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