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期刊论文
AN INVERSE AEROACOUSTIC PROBLEM ON ROTOR WAKE/STATOR INTERACTION
Journal of Sound and Vibration (2002) 254 (2), 219-229,-0001,():
An inverse aeroacoustic model on rotor wake/stator interaction is proposed based on the linearized Euler equations. The sound "eld is related to the pressure distribution on the stator surface in the formof a Fredholm integral equation of the "rst kind which is a well-known ill-posed problem. Since the sound "eld is fully speci"ed, numerical inversion allows the reconstruction of the pressure distribution on the stator surface. For solving the discrete ill-posed problem, the singular-value decomposition technique coupled with the Tikhonov regularization method is applied to stabilize the solution. The optimal regularization parameter is chosen by the generalized cross-validation criterion and the discrete Picard condition is employed to analyze the ill-posedness of the inverse problem. Numerical results show that the reconstruction is fairly good when the signal-to-noise ratio is not very low. The results become inaccurate when the noise dominates over the observer signal. In addition, numerical results also indicate the importance of the reduced frequency. The higher the reduced frequency, the better the reconstruction results.
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