Free vibration of a kinked cantilever with attached masses

Reddy, BSY and Simha, KRY and Ghosal, A (1999) Free vibration of a kinked cantilever with attached masses. In: Journal of The Acoustical Society of America, 105 (1). pp. 164-173.

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Abstract

In this paper free vibration characteristics of a centrally kinked cantilever beam of unit mass carrying masses at the kink (m(k)) and at the tip (m(t)) are analyzed. Frequency factors are presented for the first two modes for different combinations of m(k),m(t) and the kink angle delta. A relationship of the form f(m(k),m(t), delta) = m(k) + m(t)(4 + 10/3 cos delta+ 2/3 cos(2) delta)=const appears to give the same fundamental frequency for a given delta and different combinations of [m(k), m(t)]. Mode shapes as well as bending moments at the support and at the kink are also discussed. The utility of a discrete beam model in understanding the free vibration characteristics is also highlighted.

Item Type:	Journal Article
Publication:	Journal of The Acoustical Society of America
Publisher:	American Institute of Physics
Additional Information:	Copyright of this article belongs to American Institute of Physics.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	22 Jul 2009 09:40
Last Modified:	19 Sep 2010 05:28
URI:	http://eprints.iisc.ac.in/id/eprint/19535

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