Application of the Spectral Finite Element Method to Turbulent Boundary Layer Induced Vibration of Plates

Predicted and measured plate velocities induced by turbulent boundary layers

“…For all predictions discussed in Sections 5 and 6 the convective velocity U c was defined as U c ¼0.7UU N where U N is the speed of the aircraft as suggested by Graham [9]. Willmarth [33] 0.12 0.70 Efimtsov [26] 0.10 0.77 Robert [35] 0.13 0.83 Blake, 1986 [36] 0.12 0.70 Finnveden [17] 0 …”

“…The boundary layer induced vibration and noise in aircraft have received much attention as discussed in [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Among these references Graham [7] proposed a model to predict TBL induced noise in an aircraft.…”

Exact and numerical responses of a plate under a turbulent boundary layer excitation

“…More recently, very interesting contributions in search of innovative and fast solutions for the stochastic response of a plate has also been addressed by Birgersson et al (2003) and Mazzoni (2003); relevant works are also due to Maury et al (2002), Hambric et al (2004) and Finnveden et al (2005). The last two are the ideal references for the present work since their contents strictly addressed the problem of the applicability of the deterministic simulation (finite element and spectral finite element).…”

Prediction of the response of a thin structure subjected to a turbulent boundary-layer-induced random pressure field

“…Innovative and fast solutions for the stochastic response of a plate have been carried out by many researchers [15][16][17][18][19]. Birgersson et al [15] used spectral finite element and dynamic stiffness methods to analyze the autospectral density of the velocity of a plate due to a turbulent boundary layer.…”

“…Birgersson et al [15] used spectral finite element and dynamic stiffness methods to analyze the autospectral density of the velocity of a plate due to a turbulent boundary layer. They utilized an approach in which the cross spectral density of the response was determined by a single integration over all wavenumbers rather than double integrals over the surface.…”