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Criticality of daming in multi-degree of freedom systems

Bhaskar, A. (1997) Criticality of daming in multi-degree of freedom systems Journal of Applied Mechanics: Transactions of the ASME, 64, pp. 387-393.

Record type: Article

Abstract

The concept of criticality in multi-defree-of-freedom systems is discussed. Sufficient conditions for overdamping, critical damping, and underdamping are derived in terms of the matrices appearing in the modal coordinates. It is noted that results available in the literature for the case of overdamping and mixed damping are erroneous. This has been pointed out by Bhaskar (1991,1992) for the cases of overdamping and mixed damping, and by Barkwell et al. (1992) for the case of overdamping. The error in the proof of the conditions for overdamping is brought out. A sufficient condition for overdamping is presented. Results obtained for the symmetric systems are then generalized to the symmetrizable systems. Theorems on eigenvalue bounds are applied to establish criticality.

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Published date: 1997

Identifiers

Local EPrints ID: 22815
URI: http://eprints.soton.ac.uk/id/eprint/22815
ISSN: 0021-8936
PURE UUID: fa48d1a2-494d-4ae1-8ecb-57c0cea845a7

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Date deposited: 31 Jan 2007
Last modified: 17 Jul 2017 16:20

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