利用双频控制球形气泡混沌振荡的可能性
Possibility of using dual frequency to control chaotic oscillations of a spherical bubble
摘要：
众所周知，声空泡表现出高度非线性和不可预测的混沌动力学。它们在声致发光、声化学和医疗程序等应用中不可避免的作用表明它们的动力学是可控的。减少混沌振荡可以是通过增加气泡对所施加的声场的响应的可预测性来控制气泡动力学的第一步。实现这一概念的一种方法是扰动声学强迫。最近，由于与使用双频源相关的改进，该方法已经成为许多研究的主题，这些研究已经证明了其适用性和优点。基于此，本文研究了双频激励下球形气泡的振动，并与单频激励下的球形气泡的振动进行了比较。结果表明，使用双频率对将混沌振荡减少为规则振荡有很大影响。影响其动态特性的主要参数是次级频率及其与基频的相位差。同样，使用双频强迫可以通过产生所需振幅的振荡的可能性来武装我们。据我们所知，本文首次研究了利用双频强迫控制混沌振荡的能力。
英文摘要：
Acoustic cavitation bubbles are known to exhibit highly nonlinear and unpredictable chaotic dynamics. Their inevitable role in applications like sonoluminescence, sonochemistry and medical procedures suggests that their dynamics be controlled. Reducing chaotic oscillations could be the first step in controlling the bubble dynamics by increasing the predictability of the bubble response to an applied acoustic field. One way to achieve this concept is to perturb the acoustic forcing. Recently, due to the improvements associated with using dual frequency sources, this method has been the subject of many studies which have proved its applicability and advantages. Due to this reason, in this paper, the oscillations of a spherical bubble driven by a dual frequency source, were studied and compared to the ones driven by a single source. Results indicated that using dual frequency had a strong impact on reducing the chaotic oscillations to regular ones. The governing parameters influencing its dynamics are the secondary frequency and its phase difference with the fundamental frequency. Also using dual frequency forcing may arm us by the possibility of generating oscillations of desired amplitudes. To our knowledge the investigation of the ability of using a dual frequency forcing to control chaotic oscillations are presented for the first time in this paper.
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