Stability of Limit Cycles of multi-degree of freedom system with Gaussian noises

0361431 - ÚTAM 2012 RIV BE eng C - Conference Paper (international conference)
Náprstek, Jiří - Fischer, Cyril
Stability of Limit Cycles of multi-degree of freedom system with Gaussian noises.
Proceedings of the 8th International Conference on Structural Dynamics, EURODYN2011. Leuven: Katolieke Universiteit Leuven, 2011 - (Roeck, G.; Degrande, G.; Lombaert, G.; Műller, G.), s. 1998-2005. ISBN 9789076019314.
[EURODYN2011 -International Conference on Structural Dynamics /8./. Leuven (BE), 04.06.2011-06.06.2011]
R&D Projects: GA AV ČR(CZ) IAA200710805; GA ČR(CZ) GA103/09/0094; GA AV ČR(CZ) IAA200710902
Institutional research plan: CEZ:AV0Z20710524
Keywords : non-linear dynamics * dynamic stability * Markov processes
Subject RIV: JM - Building Engineering

The problem of dynamic stability and subsequent post-critical system behavior emerges in many application areas of physics and technology. One of the most important post-critical response types reveals to be the Limit Cycles (LC). They can be encountered in aero-elasticity, earthquake engineering, high speed traffic mechanics, plasma physics, optics, etc. Stable and unstable LCs should be distinguished. The aspect of stability and non-stability impresses on LC the character of an attractor or a repulser. Stability level of a particular LC depends on the system structure and on excitation efficiency. Taking into account the above application areas, various types of additive and multiplicative random noises appear either primarily or secondarily. Under certain circumstances they can break through the energy barrier and endanger the stable regime of the LC. As a result of this effect a final collapse of the system can occur.
Permanent Link: http://hdl.handle.net/11104/0198743