0
Technical Briefs

Spatial Distribution Prediction of Steady-State Sound Field With the Ray-Tracing Method

[+] Author and Article Information
Zhong-Jin Jiang, Tie-Jun Cui

State Key Laboratory of Millimeter Waves, Southeast University, Nanjing, 210096, P.R.C.

J. Vib. Acoust 130(6), 064503 (Oct 22, 2008) (5 pages) doi:10.1115/1.2980385 History: Received October 06, 2007; Revised May 11, 2008; Published October 22, 2008

A novel two-level space volume partition (SVP) algorithm based on the ray-tracing technique is proposed to predict the spatial distribution of the steady-state sound field. The sound space is subdivided into voxels in two levels. The voxels of the level-I are of greater size and comparable to the space walls, and the ray-wall intersection points are calculated based on this level of voxels. Then each level-I voxel is hierarchically subdivided into small voxels of level-II, the size of which is determined according to the needed solution in the sound field description. The sound field spatial distribution is predicted based on this level of voxels. A three-dimensional energy matrix is set up to memorize the spatial distribution of sound energy. The numbers of the row, column, and layer of the energy matrix are equal to those of the level-II voxels, namely, each element in the energy matrix corresponds to a level-II voxel. When a sound ray enters a voxel, its sound energy is calculated and recorded in the corresponding element of the energy matrix. When all the sound rays have been traced over, the sound energy spatial distribution in the sound space has been established in the energy matrix. The sound pressure level (SPL) in a certain plane or along a certain line can be calculated and imaged directly from the energy matrix. The novel two-level SVP algorithm can finish the simulation more efficiently than the traditional SVP algorithm. Experiments were performed to measure the SPL in steady-state sound fields, and the results were consistent with the predicted results.

FIGURES IN THIS ARTICLE
<>
Copyright © 2008 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Space subdivision in the SVP algorithm

Grahic Jump Location
Figure 2

Sound energy in the voxels is recorded for one ray tracing three reflections

Grahic Jump Location
Figure 3

Sound rays recorded in the energy matrix (the grayscale means the normalized sound energy): (a) the 100th layer of the energy matrix and (b) the 99th layer of the energy matrix

Grahic Jump Location
Figure 4

Spatial distribution of the sound field (the grayscale means the normalized sound energy): (a) the 99th layer of the energy matrix and (b) the 50th layer of the energy matrix

Grahic Jump Location
Figure 5

Space subdivision in the two-level SVP algorithm

Grahic Jump Location
Figure 6

Positions of the sound source and the sensors: (a) positions for installing the sensors (the gray circles) and position of the source in the sound space and (b) positions of the source and the measuring line in the cross section of the sound space

Grahic Jump Location
Figure 7

Measured results and predicted results in the long space of reflecting ends (—, the measured results; ---, the predicted results)

Grahic Jump Location
Figure 8

Measured results and predicted results in the long space of absorbent ends (—, the measured results; ---, the predicted results)

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