This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Two Degree of Freedom Helmholtz Resonator Analysis
Technical Paper
2004-01-0387
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
The Helmholtz resonator is widely used in vehicle exhaust system tuning. The classic Helmholtz theory is based on the Newton's second law. This approach gives a single resonance frequency and a corresponding attenuation peak.
This paper reviews the approach of the one degree of freedom (DOF) Helmholtz system, and extends it to a two-DOF system. The two-DOF system is composed of two Helmholtz resonators which are in series. The new system is described by a two DOF lump-mass vibration system.
The theoretical derivation of the two-DOF system is presented in this paper. The two-DOF system has two resonance frequencies as expected. The case studies of the two-DOF system are also provided. The developed system has been correlated to computational results (GT-Power©) and experimental results (transmission loss test). The correlation shows that the presented approach for the two-DOF system can correctly predict the resonance frequency of the Helmoltz resonators in general. Due to the limitation of the 1-D model, errors exist in the resonance frequency prediction of complex structures.
The same approach can also be applied to a multiple DOF system. An US patent application has been submitted based upon this design.
Recommended Content
Authors
Citation
Wan, D. and Soedel, D., "Two Degree of Freedom Helmholtz Resonator Analysis," SAE Technical Paper 2004-01-0387, 2004, https://doi.org/10.4271/2004-01-0387.Also In
References
- Pierce Allan D. Acoustic, An Introduction to Its Physical Principles and Applications McGraw-Hill, Inc. 1989
- Kinsler Lawrence E. Frey Austin R. Coppens Alan, B Sanders James V Fundamentals of Acoustics third John Wiley & Sons, Inc. 1982
- Birdsong Charles B. Radcliffe Clark J A Smart Helmoltz Resonator ASME Forum on Active Noise Control IMECE Dallas November 1997
- Griffin Steve Lane Steven A. Huybrechts Steve Coupled Helmholtz Resonators for Acoustic Attenuation Journal of Vibration and Acoustics 123 11 17 January 2001
- GT-Power User's Manual and Tutorial, GT-Suite Version 5.0 Gamma Technologies February 2000
- Harris Cyril M. Handbook of Noise Control McGraw-Hill Book Company 1957
- Selamet A. Dickey N.S. Radavich P.M. Theoretical, Computational and Experimental Investigation of Helmholtz Resonators: One-Dimensional Versus Multi-Dimensional Approach 940612 SAE International Congress & Exposition 1994