About: Lyapunov functions to analyse stability regions of aeroelastic equation

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this the paper, a nonlinear autonomous differential equation of a single-degree-of-freedom aeroelastic system is analysed with regards to the stability of the pitch rotation around the symmetry axis. The analysis is based on the second Lyapunov method and thus construction of an invariant function (first integral) of the system. Two methods are presented and compared. Also, some comments about the physical interpretation of the Lyapunov function and the steps necessary to work in the stochastic domain are presented. Because of the type of the nonlinearity, Lyapunov function is given in the general case according to Chetayev, and mapping the region of much larger domain. In this the paper, a nonlinear autonomous differential equation of a single-degree-of-freedom aeroelastic system is analysed with regards to the stability of the pitch rotation around the symmetry axis. The analysis is based on the second Lyapunov method and thus construction of an invariant function (first integral) of the system. Two methods are presented and compared. Also, some comments about the physical interpretation of the Lyapunov function and the steps necessary to work in the stochastic domain are presented. Because of the type of the nonlinearity, Lyapunov function is given in the general case according to Chetayev, and mapping the region of much larger domain. (en)
Title	Lyapunov functions to analyse stability regions of aeroelastic equation Lyapunov functions to analyse stability regions of aeroelastic equation (en)
skos:prefLabel	Lyapunov functions to analyse stability regions of aeroelastic equation Lyapunov functions to analyse stability regions of aeroelastic equation (en)
skos:notation	RIV/68378297:_____/11:00361432!RIV12-AV0-68378297
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA103/09/0094), P(IAA200710902), Z(AV0Z20710524)
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Pospíšil, Stanislav Náprstek, Jiří
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teoretické a aplikované mechaniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	210117
http://linked.open...ai/riv/idVysledku	RIV/68378297:_____/11:00361432
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	nonlinear aeroelasticity; dynamic stability; Lyapunov function (en)
http://linked.open.../riv/klicoveSlovo	nonlinear aeroelasticity Lyapunov function dynamic stability
http://linked.open...ontrolniKodProRIV	[283F5321146B]
http://linked.open...v/mistoKonaniAkce	Leuven
http://linked.open...i/riv/mistoVydani	Leuven
http://linked.open...i/riv/nazevZdroje	Proceedings of the 8th International Conference on Structural Dynamics, EURODYN2011
http://linked.open...in/vavai/riv/obor	JM
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Stochastic stability and transition processes in interaction of non-conservative gyroscopic systems with moving continuum Bifurcations and post-critical states of non-conservative and non-holonomic stochastic systems
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Náprstek, Jiří Pospíšil, Stanislav
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2011-06-04 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Time dependent response of materials, systems and environments on natural and human actions
number of pages	8 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Katolieke Universiteit Leuven
https://schema.org/isbn	9789076019314

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