Investigation of Rotor Wake Turbulence Through Cyclostationary Spectral Analysis

The present paper introduces cyclostationary spectral analysis as a new approach to analyze the turbulence velocity measurements generated by a rotor. To apply this technique, a random signal should have periodic statistical characteristics and should be suitable for many rotating mechanical system as shown in recent studies. However, this method has never been applied on rotor velocity measurements. Via a Wigner–Ville representation, the instantaneous power spectra of the turbulence in the wakes and in between the wakes will be depicted and analyzed. The usefulness of the technique applied to rotor-generated turbulence is that it can separate the spectrum of the turbulence in between the wakes from that in the wake with a much greater frequency resolution than conventional spectral analysis.

[1]  I. Wygnanski,et al.  On the large-scale structures in two-dimensional, small-deficit, turbulent wakes , 1986, Journal of Fluid Mechanics.

[2]  R. Amiet Acoustic radiation from an airfoil in a turbulent stream , 1975 .

[3]  Lars Enghardt,et al.  A comparison between measured and predicted fan broadband noise due to rotor-stator interaction , 2007 .

[4]  A. Braun,et al.  The Extraction of Periodic Waveforms by Time Domain Averaging , 1975 .

[5]  Phillip Joseph,et al.  Broadband Noise Due to Rotor-Wake/Rotor Interaction in Contra-Rotating Open Rotors , 2010 .

[6]  Jérôme Antoni,et al.  Cyclostationary modelling of rotating machine vibration signals , 2004 .

[7]  W Ganz Ulrich,et al.  Boeing 18-Inch Fan Rig Broadband Noise Test , 1998 .

[8]  P. Gliebe,et al.  Aeroacoustic Prediction Codes , 2000 .

[9]  William J. Devenport,et al.  MEASUREMENT AND MODELING OF THE TWO-POINT CORRELATION TENSOR IN A PLANE WAKE FOR BROADBAND NOISE PREDICTION , 1999 .

[10]  Paul R. White,et al.  Signal processing techniques , 2004 .

[11]  R. L. Evans,et al.  Turbulence and Unsteadiness Measurements Downstream of a Moving Blade Row , 1975 .

[12]  J. Antoni Cyclic spectral analysis in practice , 2007 .

[13]  M. Nallasamy,et al.  Computation of rotor wake turbulence noise , 2005 .

[14]  J. C. Hardin,et al.  Correlation autoregressive processes with application to helicopter noise , 1990 .

[15]  Robert B. Randall,et al.  Extraction of second-order cyclostationary sources—Application to vibration analysis , 2005 .

[16]  Lars Enghardt,et al.  On the relation between broadband noise and aerodynamic fan performance , 2007 .

[17]  Patrick Flandrin,et al.  Wigner-Ville spectral analysis of nonstationary processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[18]  Sedat F. Tardu Caractérisation des écoulements turbulents instationnaires périodiques , 2003 .

[19]  Lars Enghardt,et al.  On the relation between broadband noise and fan aerodynamic performance , 2007 .

[20]  William A. Gardner,et al.  Cycloergodic properties of discrete- parameter nonstationary stochastic processes , 1983, IEEE Trans. Inf. Theory.

[21]  Antonio Napolitano,et al.  Cyclostationarity: Half a century of research , 2006, Signal Process..