Mode shapes during asynchronous motion and non-proportionality indices
Mode shapes during asynchronous motion and non-proportionality indices
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.
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Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
1999
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Bhaskar, A.
(1999)
Mode shapes during asynchronous motion and non-proportionality indices.
Journal of Sound and Vibration, 224 (1), .
(doi:10.1006/jsvi.1997.1070).
Abstract
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.
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Published date: 1999
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Local EPrints ID: 22817
URI: http://eprints.soton.ac.uk/id/eprint/22817
ISSN: 0022-460X
PURE UUID: 17e558d1-5392-4e5e-80ce-5c5108bdfb09
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Date deposited: 01 Feb 2007
Last modified: 15 Mar 2024 06:41
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