Estimation of the wavevectorfrequency spectrum of turbulent boundary layer wall pressure by multiple linear regression
Abstract
The turbulent boundary layer wall pressure on the surface of a vehicle can induce structural vibration which may produce a high level of noise or may result in structural damage. To estimate the wavevector frequency of turbulent boundary layer wall pressure in the intermediate and high frequency range, a linear regression model is presented. The actual spectrum of the wavevector frequency is obtained by multiplying values for a trial spectrum with a correction spectrum. The correction spectrum is approximated by a polynomial which is a function of the Strouhal wavenumber and a set of coefficients determined by a least square minimization of a set of measured response data. A linear multiple regression relates the response of a measuring system to the coefficients. The advantage of the regression approach is that it relaxes the requirements of the wavevector filter's ability to discriminate against the spectral elements outside the wavenumber bandwidth of the filter. Some numerical results of the model are presented.
 Publication:

ASME Journal of Vibration Acoustics
 Pub Date:
 July 1984
 Bibcode:
 1984ATJVA.106..334H
 Keywords:

 Spectral Methods;
 Turbulent Boundary Layer;
 Wall Pressure;
 Regression Analysis;
 Strouhal Number;
 Fluid Mechanics and Heat Transfer