Lyapunov functions to analyse stability regions of aeroelastic equation

Pospíšil, Stanislav; Náprstek, Jiří

Number of the records: 1

Lyapunov functions to analyse stability regions of aeroelastic equation

1.

SYSNO ASEP	0361432
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	Lyapunov functions to analyse stability regions of aeroelastic equation
Author(s)	Pospíšil, Stanislav (UTAM-F)_{RID, SAI, ORCID} Náprstek, Jiří (UTAM-F)_{RID, ORCID, SAI}
Number of authors	2
Source Title	Proceedings of the 8th International Conference on Structural Dynamics, EURODYN2011. - Leuven : Katolieke Universiteit Leuven, 2011 / Roeck G. ; Degrande G. ; Lombaert G. ; Műller G. - ISBN 9789076019314
Pages	s. 2035-2042
Number of pages	8 s.
Action	EURODYN2011 -International Conference on Structural Dynamics /8./
Event date	04.06.2011-06.06.2011
VEvent location	Leuven
Country	BE - Belgium
Event type	WRD
Language	eng - English
Country	BE - Belgium
Keywords	nonlinear aeroelasticity ; dynamic stability ; Lyapunov function
Subject RIV	JM - Building Engineering
R&D Projects	GA103/09/0094 GA ČR - Czech Science Foundation (CSF)
	IAA200710902 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z20710524 - UTAM-F (2005-2011)
UT WOS	000366660802011
EID SCOPUS	84959879032
Annotation	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.
Workplace	Institute of Theoretical and Applied Mechanics
Contact	Kulawiecová Kateřina, kulawiecova@itam.cas.cz, Tel.: 225 443 285
Year of Publishing	2012

Number of the records: 1