0
Technical Briefs

A Study on Holographic Reconstruction of Cyclostationary Sound Field Based on Boundary Element Method

[+] Author and Article Information
H. B. Zhang1

State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200240, P.R. Chinazhanghaibin@sjtu.edu.cn

Q. Wan, W. K. Jiang, C. J. Liao

State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200240, P.R. China

1

Corresponding author.

J. Vib. Acoust 132(5), 054501 (Aug 18, 2010) (5 pages) doi:10.1115/1.4001837 History: Received December 11, 2007; Revised April 26, 2010; Published August 18, 2010; Online August 18, 2010

The cyclostationary vibrational signal modulated by other signals can be considered as a special kind of nonstationary signal, which is found frequently in some rotating machinery. The modulation frequency component can be extracted from the total signal using second-order cyclic statistics at the appropriate cyclic frequency. By using the cyclic spectral density functions instead of power spectrum or spectrum as the variables, the cyclostationary nearfield acoustic holography (CYNAH) technique is used to reconstruct acoustic physical quantities in the cyclostationary sound field. In this presented work the CYNAH method is combined with the boundary element method (BEM) to overcome the limitations on the geometries of the planar CYNAH method. The methods used in the conventional BEM-based NAH to overcome nonuniqueness and the ill-posed nature should be also implemented here. The results of a simulation show satisfactory agreement between the computed values and the analytical ones.

FIGURES IN THIS ARTICLE
<>
Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Diagram of a cylinder radiator with two spherical endcaps enclosing a cyclostationary line vibrator of finite length L and radius α

Grahic Jump Location
Figure 3

Analysis of the simulation velocity signal: (a) the PSD plot of b(t), (b) the PSD plot of v(t), (c) the CSD plot of v(t) at α=400 Hz

Grahic Jump Location
Figure 5

Reconstruction of surface pressure CSD for cylindrical radiator at frequency f=80 Hz with cyclic frequency α=400 Hz. x: reconstructed CSD without the disturbance of noise; ●: reconstructed CSD as SNR equal to 10 dB; –○–: analytical value: (a) amplitude; (b) phase

Grahic Jump Location
Figure 6

Reconstruction of surface velocity CSD for cylindrical radiator at frequency f=80 Hz with cyclic frequency α=400 Hz. x: reconstructed CSD without the disturbance of noise; ●: reconstructed CSD as SNR equal to 10 dB; –○–: analytical value: (a) amplitude; (b) phase

Grahic Jump Location
Figure 2

Diagram of the 1/4 partition plot of a cylinder with two spherical endcaps, 512 elements and 514 nodes

Grahic Jump Location
Figure 4

Analysis of the simulation acoustic pressure signal on the reference point: (a) PSD plot of the pressure signal; (b) CSD plot of the pressure signal at cyclic frequency α=400 Hz

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In