The effect of infinitesimal damping on the dynamic instability mechanism of conservative systems

DOI10.1155/2008/471080zbMath1181.34060OpenAlexW2023666564WikidataQ58646185 ScholiaQ58646185MaRDI QIDQ1023251

Dimitris S. Sophianopoulos, George T. Michaltsos, Anthony N. Kounadis

Publication date: 11 June 2009

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45490

zbMATH Keywords

two degrees of freedomdynamic instabilityRouth-Hurwitz criterionlinear autonomous systemLiénard-Chipart criterion

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30)

Related Items (1)

Stability of weakly-damped systems under follower loads exhibiting Hopf bifurcations

Cites Work

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• Flutter instability and other singularity phenomena in symmetric systems via combination of mass distribution and weak damping
• On the failure of static stability analyses of nonconservative systems in regions of divergence instability
• Non-potential dissipative systems exhibiting periodic attractors in regions of divergence
• Hamiltonian weakly damped autonomous systems exhibiting periodic attractors
• Conditions for a matrix to have only characteristic roots with negative real parts
• [https://portal.mardi4nfdi.de/wiki/Publication:5813729 Die Stabilit�tskriterien der Elastomechanik]

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