Adaptive Helmholtz Resonator in a Hydraulic System
An adaptive Helmholtz resonator was designed and
adapted to hydraulics. The resonator was controlled by open- and
closed-loop controls so that 20 dB attenuation of the peak-to-peak
value of the pulsating pressure was maintained. The closed-loop
control was noted to be better, albeit it was slower because of its low
pressure and temperature variation, which caused variation in the
effective bulk modulus of the hydraulic system. Low-pressure
hydraulics contains air, which affects the stiffness of the hydraulics,
and temperature variation changes the viscosity of the oil. Thus, an
open-loop control loses its efficiency if a condition such as
temperature or the amount of air changes after calibration. The
instability of the low-pressure hydraulic system reduced the
operational frequency range of the Helmholtz resonator when
compared with the results of an analytical model.
Different dampers for hydraulics are presented. Then analytical
models of a hydraulic pipe and a hydraulic pipe with a Helmholtz
resonator are presented. The analytical models are based on the wave
equation of sound pressure. Finally, control methods and the results
of experiments are presented.
[1] J. Mikota, "Comparison of various designs of solid body compensators for
the filtering of fluid flow pulsations in hydraulic systems," Proc. of 1st
FPNI-PhD Symp, Hamburg, 2000.
[2] T. J. Viersma, Studies in Mechanical Engineering I - Analysis, Synthesis
and Design of Hydraulic Servosystems and Pipelines, Netherlands:
Elsevier Scientific Publishing Company, 1980.
[3] L.E. Kinsler, A.R. Frey, A.B. Coppens, and J.V. Sanders, Fundamentals
of acoustics, USA: John Wiley and Sons, 1982.
[4] J. Kiesbauer, Selbstpassande Pulsationminderer in Hydraulischen
Systemen, Germany: Technischen Hochschule Darmstadt, 1991.
[5] H. Ortwig, "Experimental and analytical vibration analysis in fluid power
systems," Int J Solids Struct, vol. 42, pp. 5821-5830, 2005.
[6] M. Ijäs, Damping of Low Frequency Pressure Oscillation. Dissertation.
Tampere University of Technology, 2007.
[7] H. Matsuhisa, B. Ren, and S. Sato, "Semiactive Control of Duct Noise by
a Volume-Variable Resonator," JSME, vol. 35, no. 2, pp. 223-228, 1992.
[8] L. Kela, and P. Vähäoja, "Measuring pressure wave velocity in a
hydraulic system," Proc World Acad SET, vol. 37, pp. 610-616, 2009.
[9] L. Kela, "Resonant frequency of an adjustable Helmholtz resonator in a
hydraulic system," Arch Appl Mech, vol. 79, pp. 1115-1125, 2009.
[10] J.M. de Bedout, M.A. Franchek, R.J. Bernhard, and L. Mongeau,
"Adaptive-passive noise control with self-tuning Helmholtz resonators," J
Sound Vib, vol. 202, no. 1, pp. 109-123, 1997.
[11] S. Singh, C.Q. Howard, and C.H. Hansen, "Tuning a semi-active
Helmholtz resonator," Active 2006, Adelaide, Australia, 12 pp., 2006.
[12] M.A. Franchek, M.W. Ryan, and R.J. Bernhard, "Adaptive passive
vibration control," J Sound Vib, vol. 189, no. 5, pp. 565-585, 1995.
[1] J. Mikota, "Comparison of various designs of solid body compensators for
the filtering of fluid flow pulsations in hydraulic systems," Proc. of 1st
FPNI-PhD Symp, Hamburg, 2000.
[2] T. J. Viersma, Studies in Mechanical Engineering I - Analysis, Synthesis
and Design of Hydraulic Servosystems and Pipelines, Netherlands:
Elsevier Scientific Publishing Company, 1980.
[3] L.E. Kinsler, A.R. Frey, A.B. Coppens, and J.V. Sanders, Fundamentals
of acoustics, USA: John Wiley and Sons, 1982.
[4] J. Kiesbauer, Selbstpassande Pulsationminderer in Hydraulischen
Systemen, Germany: Technischen Hochschule Darmstadt, 1991.
[5] H. Ortwig, "Experimental and analytical vibration analysis in fluid power
systems," Int J Solids Struct, vol. 42, pp. 5821-5830, 2005.
[6] M. Ijäs, Damping of Low Frequency Pressure Oscillation. Dissertation.
Tampere University of Technology, 2007.
[7] H. Matsuhisa, B. Ren, and S. Sato, "Semiactive Control of Duct Noise by
a Volume-Variable Resonator," JSME, vol. 35, no. 2, pp. 223-228, 1992.
[8] L. Kela, and P. Vähäoja, "Measuring pressure wave velocity in a
hydraulic system," Proc World Acad SET, vol. 37, pp. 610-616, 2009.
[9] L. Kela, "Resonant frequency of an adjustable Helmholtz resonator in a
hydraulic system," Arch Appl Mech, vol. 79, pp. 1115-1125, 2009.
[10] J.M. de Bedout, M.A. Franchek, R.J. Bernhard, and L. Mongeau,
"Adaptive-passive noise control with self-tuning Helmholtz resonators," J
Sound Vib, vol. 202, no. 1, pp. 109-123, 1997.
[11] S. Singh, C.Q. Howard, and C.H. Hansen, "Tuning a semi-active
Helmholtz resonator," Active 2006, Adelaide, Australia, 12 pp., 2006.
[12] M.A. Franchek, M.W. Ryan, and R.J. Bernhard, "Adaptive passive
vibration control," J Sound Vib, vol. 189, no. 5, pp. 565-585, 1995.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:53638", author = "Lari Kela", title = "Adaptive Helmholtz Resonator in a Hydraulic System", abstract = "An adaptive Helmholtz resonator was designed and
adapted to hydraulics. The resonator was controlled by open- and
closed-loop controls so that 20 dB attenuation of the peak-to-peak
value of the pulsating pressure was maintained. The closed-loop
control was noted to be better, albeit it was slower because of its low
pressure and temperature variation, which caused variation in the
effective bulk modulus of the hydraulic system. Low-pressure
hydraulics contains air, which affects the stiffness of the hydraulics,
and temperature variation changes the viscosity of the oil. Thus, an
open-loop control loses its efficiency if a condition such as
temperature or the amount of air changes after calibration. The
instability of the low-pressure hydraulic system reduced the
operational frequency range of the Helmholtz resonator when
compared with the results of an analytical model.
Different dampers for hydraulics are presented. Then analytical
models of a hydraulic pipe and a hydraulic pipe with a Helmholtz
resonator are presented. The analytical models are based on the wave
equation of sound pressure. Finally, control methods and the results
of experiments are presented.", keywords = "adaptive, damper, hydraulics, pressure, pulsating", volume = "4", number = "8", pages = "620-8", }