Energy predictions of turbulent boundary layer induced mid-high frequency structural vibrations

This paper addresses the study of vibrations induced by turbulent boundary layers (TBLs) flowing over plate-like structures. The aim is here to propose a predictive method in order to evaluate the vibroacoustical behaviour of a plate excited by TBL pressure fluctuations. The ultimate goal is to develop tools for predicting internal cabin noise in an aircraft during flight. Hence TBL is considered. Different TBL models are discussed and compared. A prediction method well suited for mid-high frequencies is also presented. The method called simplified energy method (SEM) is based on local energetic considerations and extends the well-known statistical energy analysis (SEA). Two different SEM formulations are presented. The first one is of heat conduction type, whilst the second is radiative. The TBL source model was integrated in the local energy proposed formulations. When applied to a simple Kirchhoff–Love simply supported plate, SEM allows prediction of averaged energy quantities. Comparisons are drawn between heat and radiative formulations. Good concordance was observed between energy results and pure analytical calculations of the structural response under TBL excitation over a wide frequency range.