Vibration modes in a pendulums ring: Analogy with gas microbubbles surface modes

Abstract

When subjected to ultrasound activation, microbubbles (1 − 8 μm) present a fairly complex dynamics. Their behavior can be well modeled by coupled oscillators system. In this study, microbubble surface modes have been investigated through an acousto-mechanical analogy base on coupled pendulums. Observation of parametric vibration modes up to n = 17 for a ring of pendulums excited at frequencies between 1Hz and 4 Hz is presented. The relevance of the use of the pendulums ring for studying microbubble dynamics is discussed.

Lattice of nonlinear coupled oscillators: An acousto-mechanical analogy of gas microbubble

“…Nonetheless, considering the size of the microbubble and the complexity of its dynamics, expensive and complex simulations and/or experiments are required. To overcome this limitation, the use of an analogy is proposed to simplify the study of a such complex system since several years from the theoretical point of view [7] and from simulation aspects [8], [9]. The purpose of this important step is to study the interaction modes between microbubbles and acoustic waves through an acousto-mechanical experiment based on couple pendula parametrically excited by a vertical force.…”