VIBRATIONAL RESONANCE IN A CHARGED BUBBLE DRIVEN BY AN
AMPLITUDE-MODULATED ACOUSTIC FIELD
Benedicta Benyeogor
ABSTRACT
The phenomenon of vibrational resonance (VR) has received considerable research attention
due to its numerous potential applications in physical and life sciences, biomedical and medical
sciences and many technological fields. Very recently, VR was investigated in an uncharged
Rayleigh-Plesset bubble oscillator. In this paper, a report of an investigation on VR in a modified
Rayleigh-Plesset oscillator for a charged bubble oscillating in a compressible fluid that is driven
by an amplitude-modulated acoustic field is presented. The modified Rayleigh-Plesset equation
was used to obtain the equation of motion for a charged bubble as an oscillator moving in a
potential well. Using the liquid parameters, the speed of sound in liquid, and the bubbles’s
physical properties, the variation of the potential function in the absence of acoustic forces was
investigated for different values of the quantity of charge. It was found that, when the uncharged
bubble (Q = 0) moved in a stable single-well potential, increased amount of charge on the
bubble utters the potential structure significantly, and the number and stability of its equilibria - driving it from single-well to double-well potential structure. VR was also numerically
investigated by means of a Simulink model of the charged bubble oscillator. It is shown that an
increase in the quantity of charge leads to an increased response of the bubble to the amplitude
modulation, which leads to the enhancement of VR.