Natural frequency of an inhomogeneous rod may be independent of nodal parameters

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

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

Publication Status

Version of Record

Abstract

Some unexpected results are uncovered for the free vibrations of inhomogeneous rods with constant cross-section. Namely, it is shown that the node of the second mode may take any location along the rod. Moreover, the natural frequency turns out to be independent of the node's location. © 2000 The Royal Society.

First Page

2731

Last Page

2740

DOI

10.1098/rspa.2000.0636

Publication Date

1-1-2000

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