On the reliability of classical divergence instability analyses of Ziegler's nonconservative model

DOI10.1016/0045-7825(92)90190-UzbMath0743.70021OpenAlexW1999597932MaRDI QIDQ1191094

J. G. Mallis, Anthony N. Kounadis, Tassos P. Avraam

Publication date: 27 September 1992

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(92)90190-u

zbMATH Keywords

stabilityattractorslimit cyclesdynamic analysischaoslike phenomenalinear viscous dampingnonlinear staticstiffness nonlinearitiestwo-degree-of-freedom Ziegler's model

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50)

Related Items (3)

Flutter of a cantilever rod with a relocatable lumped mass ⋮ Damping effects on the dynamic stability of a rod subjected to intermediate follower loads ⋮ Non-potential dissipative systems exhibiting periodic attractors in regions of divergence

Cites Work

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• Nonlinear shell dynamics based on a mixed variational formulation
• The existence of regions of divergence instability for nonconservative systems under follower forces
• On the analysis of Hopf bifurcations
• Some new instability aspects for nonconservative systems under follower loads
• Chaoslike phenomena in the non-linear dynamic stability of discrete damped or undamped systems under step loading
• [https://portal.mardi4nfdi.de/wiki/Publication:3470138 Zur � quivalenz der klassischen stabilit�tskriterien der elastomeehanik bei nichtkonservativen kr�ften]
• Dynamic buckling of limit-point systems under step loading
• Dynamic Snap-through Buckling of a Timoshenko Two Bar Frame under a Suddenly Applied Load
• Dynamic Buckling Estimates for Discrete Systems under Step Loading

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