Dynamická stabilita a postkritické procesy v autoparametrických systémech podobných kyvadlu

0348096 - ÚTAM 2011 RIV CZ cze C - Conference Paper (international conference)
Náprstek, Jiří - Fischer, Cyril
Dynamická stabilita a postkritické procesy v autoparametrických systémech podobných kyvadlu.
[Dynamic stability and post-critical processes of pendulum related auto-parametric systems.]
Engineering Mechanics 2010. Prague: Institute of Thermomechanics AS CR, v. v. i., 2010 - (Zolotarev, I.), s. 3-27. ISBN 978-80-87012-26-0.
[Engineering Mechanics 2010. Svratka (CZ), 10.05.2010-13.05.2010]
R&D Projects: GA AV ČR(CZ) IAA200710805; GA AV ČR IAA200710902; GA ČR(CZ) GA103/09/0094; GA ČR(CZ) GC103/07/J060
Institutional research plan: CEZ:AV0Z20710524
Keywords : dynamic stability * spherical pendulum * autoparametric system
Subject RIV: JM - Building Engineering

Práce se věnuje studiu dynamické stability a postkritických vlastností nelineárních soustav popisujících kyvadla a podobné systémy. Popisuje různé typy odezvy v okolí rezonance, přechodové jevy a dalsí nelineární efekty.

The existence and stability of the semi-trivial solution of the auto-parametric system is analyzed. Individual types of post-critical states are discussed (limit cycles, quasi-periodic response types, chaotic processes, transition processes). General considerations are demonstrated on particular DDOF and MDOF cases in both classes mentioned above. Sensitivity of several systems to stability loss with respect to their parameters, excitation amplitudes and other factors are evaluated. Bifurcation mechanism and diagrams are developed and analyzed. Important transition effects together with physical interpretation are investigated. Some open problems and possible future research strategy are outlined.
Permanent Link: http://hdl.handle.net/11104/0188711