COMPACT HELMHOLTZ RESONATORS FOR HYDRAULIC SYSTEMS
Keywords:
Helmholtz resonator, fluid-borne noise, compliant liningAbstract
Noise is an ongoing concern in the fluid power industry. A great deal of research has been invested in reducing flow pulsations in hydraulic systems, from design modifications to adding noise control components. The physical principles of noise reduction are the same as for air, however, the much higher sound speed of hydraulic fluid makes creating compact noise control devices difficult. This paper introduces a Helmholtz resonator design that uses a compliant, voided urethane lining to increase the apparent volume of the device. The addition of the lining permits much smaller physical sizes for the same resonance frequency. Specifically, the design presented here has a total volume of 0.31 L and generates 20 dB of transmission loss at a resonance frequency of 37 Hz when the hydraulic system is pressurized at 2.07 MPa. At this pressure, it has a total volume that is two orders of magnitude smaller than a similar, unlined device of the same resonance frequency. Experimental data is presented that demonstrates the performance of the device. An analytical model was developed and least-squares fit to the experimental data to extract the complex bulk modulus of the liner material at hydrostatic pressures from 2.07 - 4.83 MPa, which is the range of available test pressures. This work is anticipated to lead to devices and liner materials designed for higher pressures.
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References
Bügener, N., Helduser, S. and Weber, J. 2010.
Numerical analysis of a measure to improve the
suction performance of hydrostatic pumps, 6th
FPNI-PhD Symposium. West Lafayette, IN.
Earnhart, N. E., Marek, K. A. and Cunefare, K. A.
a. Evaluation of hydraulic silencers,
NoiseCon10. Baltimore, MD.
Earnhart, N. E., Marek, K. A. and Cunefare, K. A.
b. Modeling and Validation of an In-Line
Hydraulic Silencer, 6th FPNI PhD Symposium.
West Lafayette, IN.
Ijas, M. and Virvalo, T. 2000. Experimental validation
of pulsation dampers and their simplified theory,
Bath Workshop on Power Transmission and Motion
Control. University of Bath, UK.
ISO-15086-2. 2000. Hydraulic fluid power -
Determination of fluid-borne noise characteristics
of components and systems - Measurement of
speed of sound in a fluid in a pipe. Geneva,
Switzerland.
D. N., Longmore, D. K. and Drew, J. E.
A technique for the measurement of the
transfer matrix characteristics of two-port hydraulic
components. Fluid Power Systems and Technology,
Vol. 1, pp. 25 - 33.
Kela, L. 2008. Resonant frequency of an adjustable
Helmholtz resonator in a hydraulic system.
Archives of Applied Mechanics, Vol. 79, pp. 11.
Kela, L. and Vähäoja, P. 2009. Control of an
Adjustable Helmholtz Resonator in a Low-Pressure
Hydraulic System. International Journal of Fluid
Power, Vol. 10, pp. 10.
Kinsler, L. E., Frey, A. R., Coppens, A. B. and
Sanders, J. V. 1999. Fundamentals of Acoustics.
th ed. John Wiley & Sons, Inc.
Kojima, E. and Edge, K. A. 1994. Experimental
determination of hydraulic silencer transfer
matrices and assessment of the method for use as a
standard test procedure, Innovations in Fluid
Power, 7th Bath International Fluid Power
Workshop. University of Bath, UK.
Kojima, E. and Ichiyanagi, T. 1998. Development
research of new types of multiple volume
resonators, Bath Workshop on Power Transmission
and Motion Control. University of Bath, UK.
Kojima, E. and Ichiyanagi, T. 2000. Research on
pulsation attenuation characteristics of silencers in
practical fluid power systems. International
Journal of Fluid Power, Vol. 1, pp. 29-38.
Lau, K. K., Johnston, D. N. and Edge, K. A. 1994.
Fluid borne noise characteristics of hydraulic filters
and silencers, Innovations in Fluid Power, 7th Bath
International Fluid Power Workshop. University of
Bath, UK.
Mikota, J. and Manhartsgruber, B. 2001. Transient
response dynamics of dynamic vibration absorbers
for the attenuation of fluid-flow pulsations in
hydraulic systems, Bath Workshop on Power
Transmission and Motion Control. University of
Bath, UK.
Mikota, J. and Reiter, H. 2003. Development of a
compact and tuneable vibrations compensator for
hydraulic systems. International Journal of Fluid
Power, Vol. 4, pp. 17 - 30.
Pierce, A. D. 1989. Acoustics: An Introduction to Its
Physical Properties and Applications Acoustical
Society of America, Melville, NY.
Selamet, A., Xu, M. B., Lee, I.-J. and Huff, N. T.
Helmholtz resonator lined with absorbing
material. Journal of the Acoustical Society of
America, Vol. 117, pp. 725 - 733.
Song, B. H. and Bolton, J. S. 2000. A transfer-matrix
approach for estimating the characteristic
impedance and wave numbers of limp and rigid
porous materials. Journal of the Acoustical Society
of America, Vol. 107, pp. 1131 - 1152.