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

Mohamed Ichchou (1) , Olivier Bareille (1) , Yves Jacques (1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

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.

Mots clés: Analytical calculations; Bending vibration; Cabin noise; Energy flow methods; Energy methods; Energy predictions; Kirchhoff; Local energies; Mid-high frequencies; Plate-like structures; Prediction methods; Predictive methods; Pressure fluctuations; Sem; Simply supported; Source models; Statistical energy analysis; Structural response; Structural vibrations; Turbulent boundary layer; Wide frequency ranges; Aerodynamics; Aircraft; Boundary layer flow; Boundary layers; Cabins (aircraft); Energy management; Plates (structural components); Structural dynamics; Turbulence; Turbulent flow; Frequency response

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Vibrations [physics.class-ph]

Mohamed Ichchou, Olivier Bareille, Yves Jacques. Energy predictions of turbulent boundary layer induced mid-high frequency structural vibrations. Journal of Wind Engineering and Industrial Aerodynamics, 2009, 97, pp.63-76. ⟨10.1016/j.jweia.2008.11.001⟩. ⟨hal-01011722⟩