Model of Frequency Averaged Injected Power into a Plate Excited by a Turbulent Boundary Layer
Résumé
The excitation of structures by turbulent boundary layers has been intensively studied and different models have been established to describe the boundary pressure cross spectrum. When dealing with energy methods like Statistical Energy Analysis (SEA), one is more interested in power injected into the plate than boundary pressure cross spectrum. This paper deals with the derivation of a model for injected power in a plate excited by a turbulent
boundary layer. For the sake of simplicity, it is based on Corcos’ and Efimtsov’s models for boundarypressure, but a more sophisticated model can be used. The established model for frequency averaged injected power (FAIP) leads to a simple expression based on a characteristic function depending on the boundary pressure model. Comparisons of the FAIP model with exact calculations are presented. These comparisons demonstrate that in third octave bands, the FAIP model gives good results whatever model for boundary pressure we use.