Lari Kela and Pekka Vähäoja
The theory of
controlling adjustable tuned vibration absorbers (incl. the adjustable
Helmholtz resonator) is reviewed. The theory review is completed with
analytical models containing a two-degrees-of-freedom spring-mass model
in which the spring constant between the primary system and the
vibration absorber is controlled. The main focus of this paper is on
the Helmholtz resonator in a hydraulic system, so all parameters are
adapted to hydraulics. Two control methods are presented, open loop and
closed loop. Both methods are modelled analytically and the models are
experimentally verified by means of hydraulic test equipment consisting
of a main pipe and an adjustable Helmholtz resonator. The open-loop
control identifies the disturbance frequency and then adjusts the
volume of the adjustable resonator accordingly by using a previously
produced control list that contains information on frequency and
corresponding cavity volume (piston position). The closed-loop control
adjusts in order of different volumes of the resonator while con-
tinuously measuring the response of the system, and after this
identifying phase the resonator is adjusted to the volume that produced
the most favourable response. The peak-to-peak values in the main pipe
were measured and the 20 dB attenuation level was measured when the
resonator was used.
Keywords: control, helmholtzresonator, hydraulics