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

DOI10.1016/j.mechrescom.2009.07.001zbMath1272.74317OpenAlexW1987004237MaRDI QIDQ366331

Tassos P. Avraam, Ioannis G. Raftoyiannis

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641309001025

zbMATH Keywords

dynamic stabilitynonconservative systemsdynamic bifurcations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flutter instability and other singularity phenomena in symmetric systems via combination of mass distribution and weak damping
• The effect of infinitesimal damping on the dynamic instability mechanism of conservative systems
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• 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
• Dynamics and Stability of a Flexible Cylinder in a Narrow Coaxial Cylindrical Duct Subjected to Annular Flow

This page was built for publication: Stability of weakly-damped systems under follower loads exhibiting Hopf bifurcations