The effect of small internal and external damping on the stability of distributed non-conservative systems
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Publication:3412266
DOI10.1016/j.jappmathmech.2005.07.004zbMath1102.35307OpenAlexW2050735465MaRDI QIDQ3412266
Alexander P. Seyranian, Oleg N. Kirillov
Publication date: 5 December 2006
Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2005.07.004
destabilization paradoxbifurcations of multiple eigenvaluesjump-like fall of critical loadnonconservative distributed system
Stability in context of PDEs (35B35) Stability of dynamical problems in solid mechanics (74H55) Bifurcations in context of PDEs (35B32)
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Cites Work
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- Effect of damping on the postcritical behaviour of autonomous non-conservative systems
- Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions
- Sensitivity analysis for problems of dynamic stability
- Influence of boundary conditions on the stability of a column under non- conservative load
- Effects of damping on stability of elastic systems subjected to non- conservative forces
- Die Knicklast des einseitig gespannten, tangential gedrückten Stabes
- THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
- Application of a variational method to dissipative, non-conservative problems of elastic stability
- On Singularities of a Boundary of the Stability Domain
- Collapse of the Keldysh Chains and Stability of Continuous Nonconservative Systems
- [https://portal.mardi4nfdi.de/wiki/Publication:5813729 Die Stabilit�tskriterien der Elastomechanik]
- Bemerkung zu einem Satze von Hurwitz