Apparently the first closed-form solution of vibrating inhomogeneous beam with a tip mass

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

Journal of Sound and Vibration

Publication Status

Version of Record

Abstract

Whereas there are numerous papers on the free vibrations of beams of uniform or non-uniform cross-section carrying concentrated masses, the problem does not lend itself to the closed-form solution. Here such a solution is reported, apparently for the first time. The solution originally derived for the inhomogeneous beam without a concentrated mass is generalized to include a tip mass. The semi-inverse method is utilized, to achieve this goal. © 2005 Elsevier Ltd. All rights reserved.

First Page

1057

Last Page

1066

DOI

10.1016/j.jsv.2005.01.050

Publication Date

9-22-2005

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