Class of analytical closed-form polynomial solutions for clamped-guided 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

New closed-form solutions for the natural frequency of a clamped-guided beam are derived in this investigation. By postulating the mode shape of the clamped-guided beam, whose material density and stiffness are taken as polynomial functions, one is able to calculate the closed-form solution for its natural frequency. A remarkable property of the suggested method is its extreme simplicity. © 2001 Elsevier Science Ltd.

First Page

1657

Last Page

1678

DOI

10.1016/S0960-0779(00)00125-9

Publication Date

1-1-2001

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