Classical Results and Modern Approaches to Nonconservative Stability

Oleg Kirillov

doi:10.1007/978-3-319-93722-9_4

Classical Results and Modern Approaches to Nonconservative Stability

Oleg Kirillov

Mathematics, Physics and Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

9 Citations (Scopus)

16 Downloads (Pure)

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.

Original language	English
Title of host publication	Dynamic Stability and Bifurcation in Nonconservative Mechanics
Editors	Davide Bigoni, Oleg Kirillov
Place of Publication	Berlin
Publisher	Springer
Chapter	4
Pages	129-190
Number of pages	62
ISBN (Electronic)	9783319937229
ISBN (Print)	9783319937212
DOIs	https://doi.org/10.1007/978-3-319-93722-9_4
Publication status	Published - 8 Aug 2018

Publication series

Name	CISM International Centre for Mechanical Sciences
Publisher	Springer
Volume	586
ISSN (Print)	0254-1971

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10.1007/978-3-319-93722-9_4

2018CISM-Springer -51277_1_Kirillov_Ch4Accepted author manuscript, 2.35 MB

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Classical Results and Modern Approaches to Nonconservative Stability. / Kirillov, Oleg.
Dynamic Stability and Bifurcation in Nonconservative Mechanics. ed. / Davide Bigoni; Oleg Kirillov. Berlin: Springer, 2018. p. 129-190 (CISM International Centre for Mechanical Sciences; Vol. 586).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AB - 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.

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A2 - Bigoni, Davide

A2 - Kirillov, Oleg

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CY - Berlin

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Classical Results and Modern Approaches to Nonconservative Stability

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