Lyapunov functions to analyse stability regions of aeroelastic equation

0361432 - ÚTAM 2012 RIV BE eng C - Conference Paper (international conference)
Pospíšil, Stanislav - Náprstek, Jiří
Lyapunov functions to analyse stability regions of aeroelastic equation.
Proceedings of the 8th International Conference on Structural Dynamics, EURODYN2011. Leuven: Katolieke Universiteit Leuven, 2011 - (Roeck, G.; Degrande, G.; Lombaert, G.; Műller, G.), s. 2035-2042. ISBN 9789076019314.
[EURODYN2011 -International Conference on Structural Dynamics /8./. Leuven (BE), 04.06.2011-06.06.2011]
R&D Projects: GA ČR(CZ) GA103/09/0094; GA AV ČR(CZ) IAA200710902
Institutional research plan: CEZ:AV0Z20710524
Keywords : nonlinear aeroelasticity * dynamic stability * Lyapunov function
Subject RIV: JM - Building Engineering

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.
Permanent Link: http://hdl.handle.net/11104/0198744