A modified Rayleigh–Lamb equation is obtained, which takes into account the radial vibrations of a liquid drop that is covered with a viscoelastic shell, whose center contains a gas bubble, and which is placed in a viscoelastic medium. For the case of small vibrations of the inclusion, the heat transfer problem for gas, liquid phase, viscoelastic shell, and carrier liquid is solved. A dispersion equation is derived for a bubble medium. The influence of the inclusion shell and the viscoelasticity of the carrier phase on the dynamics of acoustic waves is investigated. Calculation results are compared with experimental data.

中文翻译：

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粘弹性介质中涂层夹杂物的波浪动力学

获得了修正的瑞利-兰姆方程，该方程考虑了被粘弹性壳覆盖的液滴的径向振动，其中心包含气泡，并放置在粘弹性介质中。针对夹杂物振动小的情况，解决了气相、液相、粘弹壳、载液的传热问题。推导出气泡介质的色散方程。研究了夹杂物壳和载体相的粘弹性对声波动力学的影响。计算结果与实验数据进行了比较。