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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Numerical simulation and visualization of elastic waves using mass-spring lattice model
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Numerical simulation and visualization of elastic waves using mass-spring lattice model

机译：质弹格模型对弹性波的数值模拟与可视化

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摘要

A computer program package has been developed for simulation and visualization of two-dimensional elastic wave propagation and scattering using the mass-spring lattice model (MSLM) and, for comparison, a finite difference model. To assess the reliability of the numerical schemes, their convergence and accuracy have been analysed using the Taylor series expansion and the von Neumann analysis methods. As a result, the grid spacing-time increment combinations previously adopted in the literature have proved to be non-optimal. The optimal combinations have been found and shown to yield the most accurate results with the least computation time, particularly in the high frequency regime. Using these algorithms, a program package has been developed in Visual C++(R) (Microsoft, Redmond, WA) with graphic user interfaces for convenient exploration of visualized results. Numerical results have been obtained for some fundamental problems in ultrasonic testing such as plane waves incident on cracks. All numerical results have shown excellent qualitative agreements with the analytical results of the wave physics, as the reflected, diffracted, head, and Rayleigh waves have been observed. Also, for numerical results with anisotropic media, the cusps on the shear wavefronts have been observed. Finally, slight modification of the modeling method for free surfaces has led to more accurate prediction of Rayleigh waves.
机译：已经开发了一种计算机程序包，用于使用质量-弹簧晶格模型（MSLM）以及有限差分模型进行二维弹性波传播和散射的仿真和可视化。为了评估数值方案的可靠性，已使用泰勒级数展开式和冯·诺伊曼分析方法分析了它们的收敛性和准确性。结果，先前在文献中采用的网格间隔-时间增量组合已被证明是非最佳的。已经发现最佳组合，并显示出最佳的组合结果和最少的计算时间，尤其是在高频状态下。使用这些算法，已经在具有图形用户界面的Visual C ++（R）（Microsoft，Redmond，WA）中开发了一个程序包，以便于浏览可视化结果。对于超声波测试中的一些基本问题（例如，入射在裂缝上的平面波）已经获得了数值结果。所有数值结果均显示出与波物理分析结果极好的定性一致性，因为已观察到反射波，衍射波，头波和瑞利波。同样，对于各向异性介质的数值结果，已经观察到剪切波前的尖端。最后，对自由表面的建模方法稍加修改，就可以更准确地预测瑞利波。

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