声辐射模态下测量点分布对声场重构影响的研究

Study on Influence of Measurement Point Distribution on Reconstruction of Acoustic Fields Based on Acoustic Radiation Mode

应用声辐射模态理论,以振动平板为研究对象,针对声场重构中测量点的分布对重构声压的影响进行研究。数值计算表明:在测量点数和模态展开数既定的情况下,通过改变测量点的坐标值,使测量点非均匀地分布在测量面上,这样重构出的效果远远优于测量点均匀分布且使用Tikhonov正则化方法重构出的效果。研究结果表明:测量点的非均匀性布置,可以达到减小测量点数和模态展开数,扩大重构频率区间,简化计算程序,提高重构精度的目的。

The influence of measurement point distribution on reconstruction of acoustic pressure fields was researched on a vibrating plate, based on the theory of acoustic radiation mode. The calculated results show that when the measurement point number and the mode expansion number are determined, the reconstruction effect of uneven measurement point distribution by means of changing the coordinate value of measurement points is much better than that of uniform measurement point distribution together with Tikhonov regularization. The study indicates that by using uneven measurement point distribution, it can be realized to decrease the measurement point number and the mode expansion number, to enlarge the range of reconstruction frequency, to simplify the calculation precedure and to improve the precision of reconstruction of acoustic pressure fields.