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Rotating beams isospectral to axially loaded nonrotating uniform beams

Kambampati, Sandilya and Ganguli, Ranjan and Mani, V (2013) Rotating beams isospectral to axially loaded nonrotating uniform beams. In: AIAA Journal, 51 (5). pp. 1189-1202.

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Official URL: http://dx.doi.org/10.2514/1.J051990

Abstract

In this paper, the stiffness and mass per unit length distributions of a rotating beam, which is isospectral to a given uniform axially loaded nonrotating beam, are determined analytically. The Barcilon-Gottlieb transformation is extended so that it transforms the governing equation of a rotating beam into the governing equation of a uniform, axially loaded nonrotating beam. Analysis is limited to a certain class of Euler-Bernoulli cantilever beams, where the product between the stiffness and the cube of mass per unit length is a constant. The derived mass and stiffness distributions of the rotating beam are used in a finite element analysis to confirm the frequency equivalence of the given and derived beams. Examples of physically realizable beams that have a rectangular cross section are shown as a practical application of the analysis.

Item Type: Journal Article
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Additional Information: Copyright of this article belongs to American Institute of Aeronautics and Astronautics.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 21 Jun 2013 05:24
Last Modified: 21 Jun 2013 05:24
URI: http://eprints.iisc.ernet.in/id/eprint/46688

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