Nonlinear Analysis and Identification of Limit Cycle Oscillations in an Aeroelastic System

2012 ◽  
Author(s):  
Abdessattar Abdelkefi ◽  
Rui Vasconcellos ◽  
Ali Nayfeh ◽  
Muhammad Hajj ◽  
Omar Badran
Keyword(s):  
Nonlinear Analysis ◽  
Limit Cycle ◽  
Limit Cycle Oscillations ◽  
Aeroelastic System

scholarly journals Uncertainty Quantification and Bifurcation Analysis of an Airfoil with Multiple Nonlinearities

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Haitao Liao
Keyword(s):  
Limit Cycle ◽  
Harmonic Balance Method ◽  
Inequality Constraints ◽  
Maximization Problem ◽  
Limit Cycle Oscillation ◽  
Structural Parameter ◽  
Limit Cycle Oscillations ◽  
Aeroelastic System ◽  
Equality And Inequality Constraints ◽  
The Stability

In order to calculate the limit cycle oscillations and bifurcations of nonlinear aeroelastic system, the problem of finding periodic solutions with maximum vibration amplitude is transformed into a nonlinear optimization problem. An algebraic system of equations obtained by the harmonic balance method and the stability condition derived from the Floquet theory are used to construct the general nonlinear equality and inequality constraints. The resulting constrained maximization problem is then solved by using the MultiStart algorithm. Finally, the proposed approach is validated, and the effects of structural parameter uncertainty on the limit cycle oscillations and bifurcations of an airfoil with multiple nonlinearities are studied. Numerical examples show that the coexistence of multiple nonlinearities may lead to low amplitude limit cycle oscillation.

Nonlinear Analysis of Store-Induced Limit Cycle Oscillations

2005 ◽  
Vol 39 (1-2) ◽  
pp. 159-178 ◽  
Author(s):  
David E. Thompson ◽  
Thomas W. Strganac
Keyword(s):  
Nonlinear Analysis ◽  
Limit Cycle ◽  
Limit Cycle Oscillations

scholarly journals Control of Limit Cycle Oscillations of a Two-Dimensional Aeroelastic System

2010 ◽  
Vol 2010 ◽  
pp. 1-13 ◽  
Author(s):  
M. Ghommem ◽  
A. H. Nayfeh ◽  
M. R. Hajj
Keyword(s):  
Hopf Bifurcation ◽  
Limit Cycle ◽  
Limit Cycle Oscillations ◽  
Feedback Controls ◽  
Aeroelastic System ◽  
Freestream Velocity ◽  
Nonlinear Springs ◽  
Subcritical Hopf Bifurcation ◽  
Static Feedback ◽  
Nonlinear Static

Linear and nonlinear static feedback controls are implemented on a nonlinear aeroelastic system that consists of a rigid airfoil supported by nonlinear springs in the pitch and plunge directions and subjected to nonlinear aerodynamic loads. The normal form is used to investigate the Hopf bifurcation that occurs as the freestream velocity is increased and to analytically predict the amplitude and frequency of the ensuing limit cycle oscillations (LCO). It is shown that linear control can be used to delay the flutter onset and reduce the LCO amplitude. Yet, its required gains remain a function of the speed. On the other hand, nonlinear control can be effciently implemented to convert any subcritical Hopf bifurcation into a supercritical one and to significantly reduce the LCO amplitude.

An analytical and experimental investigation into limit-cycle oscillations of an aeroelastic system

2012 ◽  
Vol 71 (1-2) ◽  
pp. 159-173 ◽  
Author(s):  
Abdessattar Abdelkefi ◽  
Rui Vasconcellos ◽  
Ali H. Nayfeh ◽  
Muhammad R. Hajj
Keyword(s):  
Experimental Investigation ◽  
Limit Cycle ◽  
Limit Cycle Oscillations ◽  
Aeroelastic System

Simulation of aircraft-pilot coupling as limit-cycle oscillations

1998 ◽  
Author(s):  
Guofeng Lin ◽  
Edward Lan ◽  
Jay Brandon
Keyword(s):  
Limit Cycle ◽  
Limit Cycle Oscillations
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