Flutter Analysis with Stabilized Finite Elements based on the Linearized Frequency-domain Approach

A generalized eigenvalue solution to the flutter stability problem with true damping: The p-L method

“…As described in Section 2, the aerodynamic term Q hh (p, M ∞ ) is commonly obtained for harmonic motion of the generalized coordinates u h , that is, for values over the imaginary axis Q hh (ik, M ∞ ). Note that recently URANS aerodynamic solvers have been modified as to obtain the GAF matrix directly over the imaginary axis (Albano and Rodden, 1969, Thormann and Widhalm, 2013, Jacobson et al, 2020, suppressing the numerical dependency on the amplitude values when using the time-domain simulations, as for instance when establishing indicial responses (Marques and Azevedo, 2008). The p-L method of Section 3.1 can be readily applied to GAF matrices obtained from these solvers.…”