转子/静子干涉气动声学反问题研究

探讨了通过测量空间有限点声压来反演静叶表面压力分布的转子 /静子干涉气动声学反问题。具体从线化欧拉方程出发 ,将空间有限点的声压与静叶表面的非定常压力分布关联成第一类 Fredholm积分方程的形式。鉴于问题的不适定 ,本文采用奇异值分解与 Tikhonov正则化解法相结合的最小二乘方法进行求解 ,并采用离散 Picard条件进行可解性分析 ,而最优正则化参数的选取则采用广义互校核方法。计算结果表明 ,在信噪比不是很低的情况下 ,反演是可行的。

An Inverse Aeroacoustic Problem on Rotor/Stator Interaction

WT5BZ]An inverse aeroacoustic problem on rotor/stator interaction is investigated,which aims at reproduction of the unsteady pressure distributions on the stator blade according to the sound pressures at a limited number of points in space.On basis of the linearized Euler equation,the sound pressure is correlated with the unsteady pressure distributions on stator blade surface in the form of the Fredholm integral equation of the first kind.In order to solve this kind of typical ill posed problem,the least square method,which combines singular value decomposition technique and Tikhonov regularization method,is used,and the discrete Picard condition is employed to analyze the ill posed problem.The regularization parameter is chosen by Generalized Cross Validation method.The numerical results show that the reproductions are feasible on the conditions that the signal to noise ratio is not very low.