Applied Research Laboratories, The University of Texas at Austin, Austin, Texas 78713-8029, USA.
J Acoust Soc Am. 2012 Jul;132(1):124-37. doi: 10.1121/1.4707489.
A model is presented for a pulsating spherical bubble positioned at a fixed location in a viscous, compressible liquid between parallel viscoelastic layers of finite thickness. The Green's function for particle displacement is found and utilized to derive an expression for the radiation load imposed on the bubble by the layers. Although the radiation load is derived for linear harmonic motion it may be incorporated into an equation for the nonlinear radial dynamics of the bubble. This expression is valid if the strain magnitudes in the viscoelastic layer remain small. Dependence of bubble pulsation on the viscoelastic and geometric parameters of the layers is demonstrated through numerical simulations.
提出了一种模型，用于描述一个在粘性、可压缩液体中位于两个平行黏弹性层之间固定位置的脉动球形气泡。找到了颗粒位移的格林函数，并利用它推导出了层施加在气泡上的辐射载荷表达式。尽管辐射载荷是针对线性谐波运动推导的，但它可以纳入气泡的非线性径向动力学方程。如果黏弹性层中的应变幅度保持较小，则该表达式有效。通过数值模拟，展示了气泡脉动对层的黏弹性和几何参数的依赖性。
