Abstract

A method is proposed for the numerical modeling of acoustic processes in solids, representing a solid in the form of an array of particles in a cubic body-centered crystal lattice. The particle dynamics is described by Newton’s equations of motion. It is shown that the developed numerical model makes it possible to describe resonance phenomena and the process of wave propagation. The results of modeling the resonant frequencies of an ultrasonic instrument by the proposed method and the finite element method in the COMSOL Multiphysics environment are compared. An experimental study of the resonant frequencies of an ultrasonic instrument shows that the numerical model correctly determines its resonance frequencies.

中文翻译：

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用粒子动力学方法模拟波浪过程

摘要

提出了一种对固体中的声学过程进行数值建模的方法，以立方体心晶格中的粒子阵列形式表示固体。粒子动力学由牛顿运动方程描述。结果表明，所开发的数值模型可以描述共振现象和波的传播过程。比较了在 COMSOL Multiphysics 环境中使用所提出的方法和有限元方法对超声仪器的共振频率进行建模的结果。超声仪器共振频率的实验研究表明，该数值模型正确确定了其共振频率。