Technical Notes
Nov 9, 2012

Vibration of a Two-Section Standing Column

Publication: Journal of Engineering Mechanics
Volume 139, Issue 9

Abstract

The vibration of a two-section column under gravity effects is studied using an efficient initial value method. The problem is governed by the length and area ratios of the two sections in addition to gravity. For the standing column, the stability boundaries show looped properties. The first three frequencies for both standing and hanging two-section columns are determined. For given total volume or mass, there exists an optimum length and area ratios of the two sections for the highest fundamental frequency.

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References

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Information & Authors

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 139Issue 9September 2013
Pages: 1300 - 1304

History

Received: Apr 17, 2012
Accepted: Nov 7, 2012
Published online: Nov 9, 2012
Published in print: Sep 1, 2013

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Professor, Depts. of Mathematics and Mechanical Engineering, Michigan State Univ., East Lansing, MI 48824. E-mail: [email protected]

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