Classical Results and Modern Approaches to Nonconservative Stability

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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 languageEnglish
Title of host publicationDynamic Stability and Bifurcation in Nonconservative Mechanics
EditorsDavide Bigoni, Oleg Kirillov
Place of PublicationBerlin
PublisherSpringer
Chapter4
Pages129-190
Number of pages62
ISBN (Electronic)9783319937229
ISBN (Print)9783319937212
DOIs
Publication statusPublished - 8 Aug 2018

Publication series

NameCISM International Centre for Mechanical Sciences
PublisherSpringer
Volume586
ISSN (Print)0254-1971

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