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从球状泡群气泡动力学方程出发,考虑泡群间次级声辐射的影响,得到了声场中两泡群共同存在时气泡振动的动力学方程,并以此为基础探讨声波驱动下双泡群振动系统的共振响应特征.由于泡群间气泡间的相互作用,系统存在低频共振和高频共振现象,两不同共振频率的数值与泡群内气泡的本征频率相关.泡群内气泡的本征频率又受到初始半径、泡群大小和泡群内气泡数量的影响.气泡自由振动和驱动声波的耦合激起泡群内气泡的受迫振动,气泡初始半径、气泡数密度和驱动声波频率等都会影响泡群内气泡的振动幅值和初相位.
Based on the bubble dynamics equation of spherical bubble, considering the influence of sub-level acoustic radiation among bubble groups, the dynamic equation of bubble vibration when two bubble groups coexist in the sound field is obtained. Based on this, The resonant response of the vibration system is characterized by low-frequency resonance and high-frequency resonance due to the interaction of the bubbles in the bubble group. The values of the two different resonance frequencies are related to the eigenfrequency of bubbles in the bubble group. In addition, the initial frequency, the bubble size and the number of bubbles in the bubble group are affected by the coupling of the bubble free vibration and the driving sound wave, and the initial vibration of the bubble, the initial bubble radius, the bubble number density and the driving sound wave frequency Will affect the bubbles bubble amplitude and initial bubble phase.