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首页> 外文期刊>Shock and vibration >Nonlinear Resonance of Cavities Filled with Bubbly Liquids: A Numerical Study with Application to the Enhancement of the Frequency Mixing Effect
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Nonlinear Resonance of Cavities Filled with Bubbly Liquids: A Numerical Study with Application to the Enhancement of the Frequency Mixing Effect

机译：气泡状填充空腔的非线性共振：数值研究及其在增强混频效果中的应用

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摘要

This paper studies the nonlinear resonance of a cavity filled with a nonlinear biphasic medium made of a liquid and gas bubbles at a frequency generated by nonlinear frequency mixing. The analysis is performed through numerical simulations by mixing two source signals of frequencies well below the bubble resonance. The finite-volume and finite-difference based model developed in the time domain simulates the nonlinear interaction of ultrasound and bubble dynamics via the resolution of a differential system formed by the wave and Rayleigh–Plesset equations. Some numerical results, consistent with the literature, validate our procedure. Other results reveal the existence of a frequency shift of the cavity resonance at the difference-frequency component, which rises with pressure amplitude and evidences the global changes undergone by the bubbly medium under finite amplitudes. Finally, this work shows the enhancement of the amplitude of the difference-frequency component generated by parametric excitation using the nonlinear resonance shift, which is more pronounced when the second primary frequency is constant, the first one is varied to match the nonlinear resonance, and both have the same amplitude.
机译：本文研究了一个由非线性双相介质填充的空腔的非线性共振，该非线性双相介质由液体和气泡构成，其频率为非线性混频产生的频率。通过数值模拟将两个频率远低于气泡共振频率的源信号混合在一起进行分析。在时域中开发的基于有限体积和有限差分的模型通过波动和瑞利-普莱塞方程组形成的微分系统的分辨率，模拟了超声和气泡动力学的非线性相互作用。与文献一致的一些数值结果验证了我们的程序。其他结果表明，在不同频率分量处存在腔共振的频移，该频移随压力振幅的增加而上升，并证明了气泡介质在有限振幅下经历的整体变化。最后，这项工作表明使用非线性谐振位移增强了参量激励所产生的差频分量的幅度，当第二个主频率恒定，第一个变化以匹配非线性谐振时，这种变化更为明显。两者具有相同的幅度。

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