Delay-induced vibrational resonance in the Rayleigh-Plesset bubble oscillator

Abstract We examine the impacts of time-delay and phase shift between two acoustic driving forces on vibrational resonance (VR) phenomena in oscillations a spherical gas bubble. Using approximate method direct separation motions, we obtain equation slow motion response amplitude, validate theoretical predictions with numerical simulations. find that amplitude system at lower frequency varies periodically respect to shift. When consists an even number periods, it can be optimized enhance system’s relevant parameter space high-frequency force. In addition enhancement VR peak by variation shift, our results show also plays significant role bubble’s dual-frequency fields. It exploited either suppress drastically, or modulate, peaks, thereby controlling resonances. Our analysis shows further cooperation component waves induce multiple These could potentially control ultrasonic cleaning processes varying presence shifted waves. Moreover, employed achieve improved accuracy biomedical diagnosis tumour therapy, as well for targeted delivery reagents transported within bubbles.