A general formulation of the flutter equation includes gyroscopics, viscous damping, active controls, Mach and complex reduced-frequency-based unsteady aerodynamics, quasi-linear approximated structural nonlinearities, and parameterized matrices. Solving the flutter equation usually involves a search for neutral stability points, the boundary between stability and instability, followed by variations in the neutral stability point with various parameters. A technique for solving the flutter equation under these conditions must necessarily be capable of solving systems of nonlinear parameterized equations over a range of parameter values. Continuation methods are specifically designed for solving such problems. A continuation method is presented that is capable of solving general formulations of the flutter equation for neutral stability, parameter variations, optimization, model tuning, and describing function flutter analyses, including an efficient technique for assessing limit cycle stability.
Unified Approach to Flutter Equations
AIAA Journal ; 52 , 3 ; 627-633
2014-01-31
7 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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