Classical Results and Modern Approaches to Nonconservative Stability

Kirillov, Oleg (2018) Classical Results and Modern Approaches to Nonconservative Stability. In: Dynamic Stability and Bifurcation in Nonconservative Mechanics. CISM International Centre for Mechanical Sciences, 586 (586). Springer, Berlin, pp. 129-190. ISBN 9783319937212

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Kirillov - Classical Results and Modern Approaches to Nonconservative Stability AAM.pdf - Accepted Version

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Official URL: http://dx.doi.org/10.1007/978-3-319-93722-9_4

Abstract

Stability of nonconservative systems is nontrivial already on the linear level, especially, if the system depends on multiple parameters. We present an overview of results and methods of stability theory that are specific for nonconservative applications. Special attention is given to the topics of flutter and divergence, reversible- and Hamiltonian-Hopf bifurcation, Krein signature, modes and waves of positive and negative energy, dissipation-induced instabilities, destabilization paradox, influence of structure of forces on stability and stability optimization.

Item Type: Book Section
Subjects: F300 Physics
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Paul Burns
Date Deposited: 11 Jul 2018 08:52
Last Modified: 11 Oct 2019 10:26
URI: http://nrl.northumbria.ac.uk/id/eprint/34918

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