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Mode shapes during asynchronous motion and non-proportionality indices

Bhaskar, A (1999) Mode shapes during asynchronous motion and non-proportionality indices. In: Journal of Sound and Vibration, 224 (1). pp. 1-16.

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Official URL: http://dx.doi.org/10.1006/jsvi.1997.1070


When synchronous motion does not exist, it is not possible to draw the classical mode shapes. In this paper, a representative shape of motion during free vibration of a non-classically damped system is sought. It is noted that this shape provides an optimal representation of free motion. Interpretations of the optimality thus introduced are presented. Their connection with non-proportionality of damping and of gyroscopy is brought out. In the spirit of the optimality presented in this paper, two indices of non-proportionality are defined. Properties of these indices are discussed. Comparison with other indices of non-proportionality available in the literature is presented. Illustrative examples are given. (C) 1999 Academic Press.

Item Type: Journal Article
Publication: Journal of Sound and Vibration
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 30 Jun 2011 11:05
Last Modified: 30 Jun 2011 11:05
URI: http://eprints.iisc.ac.in/id/eprint/38674

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