Recently, a new model for the propagation of sound in interior volumes known as the acoustic diffusion equation has been explored as an alternative method for acoustic predictions and analysis. The model uses statistical methods standard in high frequency room acoustics to compute a spatial distribution of acoustic energy over time as a diffusion process. For volumes coupled through a structural partition, the energy consumed by structural vibration and acoustic energy transmitted between volumes has been incorporated through a simple acoustic transmission coefficient. In this paper, a Boundary Element Method (BEM) solution to the simple diffusion model is developed. The integral form of the 3D acoustic diffusion equation for coupled volumes is derived using the Laplace transform and Green’s Second Identity. The solution using the BEM is developed as well as an efficient Laplace transform inversion scheme to obtain both steady state and transient interior acoustic energy. In addition, a fully coupled model where both structural and acoustic energy are computed as a diffusion process is proposed. A simple volume configuration is examined as the diffusion models are analyzed and compared to conventional room acoustics analysis methods. Advantages of the energy diffusion methods over conventional methods, such as computation of energy distributions and accurate transmission from one volume to another, are revealed as the comparisons are made.
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ASME 2012 Noise Control and Acoustics Division Conference at InterNoise 2012
August 19–22, 2012
New York City, New York, USA
Conference Sponsors:
- Noise Control and Acoustics Division
ISBN:
978-0-7918-4532-5
PROCEEDINGS PAPER
An Energy Diffusion Model for Interior Acoustics With Structural Coupling Using the Boundary Element Method
Joseph M. Corcoran,
Joseph M. Corcoran
Virginia Tech, Blacksburg, VA
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Ricardo A. Burdisso
Ricardo A. Burdisso
Virginia Tech, Blacksburg, VA
Search for other works by this author on:
Joseph M. Corcoran
Virginia Tech, Blacksburg, VA
Ricardo A. Burdisso
Virginia Tech, Blacksburg, VA
Paper No:
NCAD2012-0953, pp. 319-329; 11 pages
Published Online:
September 10, 2013
Citation
Corcoran, JM, & Burdisso, RA. "An Energy Diffusion Model for Interior Acoustics With Structural Coupling Using the Boundary Element Method." Proceedings of the ASME 2012 Noise Control and Acoustics Division Conference at InterNoise 2012. ASME 2012 Noise Control and Acoustics Division Conference. New York City, New York, USA. August 19–22, 2012. pp. 319-329. ASME. https://doi.org/10.1115/NCAD2012-0953
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