声场中椭球形气泡的体积振动研究

Volume pulsation of an ellipsoidal gas bubble in an acoustic field

利用Lagrange方程得到了3个半轴呈一定比例的椭球形气泡的体积振动方程,探讨了不同驱动声场、不同半轴比例下椭球形气泡的体积振动和共振频率,并与同样体积下的球形气泡进行对比。结果表明:同样声场驱动下,椭球形气泡的体积变化振幅小于球形气泡体积变化振幅,椭球形气泡越偏离球形,气泡体积改变量越小,反之亦然;椭球形气泡的共振频率取决于其3个半轴长度的比值和气泡均衡体积。

The volume pulsation equation of three ellipsoidal gas bubbles are obtained based on Lagrange′s equation.The volume pulsation and resonance frequency of an ellipsoidal gas bubble are researched.The volume pulsation of an ellipsoidal gas bubble and a spherical gas bubble with the same equilibrium volume are compared.The results show that the volume change of an ellipsoidal gas bubble is smaller than the spherical gas bubble with the same equilibrium volume.Comparing with sphere,the change of volume in the ellipsoidal gas bubble is smaller.The shape of ellipsoidal gas bubble is close to sphere,and the change of volume is bigger.The resonance frequency of an ellipsoidal gas bubble depends on the equilibrium volume and the ratio of semiaxis of the ellipsoidal gas bubble.