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首页> 外文会议>7th Biennial Conference on Engineering Systems Design and Analysis 2004(ESDA 2004) vol.1: Advanced Energy Systems; Advanced Heat Transfer in Engineering Systems; ... >NUMERICAL EVALUATION OF A BAND-LIMITED GREEN'S FUNCTION USING THE FINITE ELEMENT METHOD FOR ACOUSTIC EMISSION ANALYSIS
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NUMERICAL EVALUATION OF A BAND-LIMITED GREEN'S FUNCTION USING THE FINITE ELEMENT METHOD FOR ACOUSTIC EMISSION ANALYSIS

机译：用有限元方法进行声发射分析的带界格林函数数值评估

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摘要

The ability to model transient wave propagation in solids and determine the Green's function plays a major role in improving the reliability of quantitative source characterization of acoustic emission. In this work, the finite element method is employed to determine a numerical solution of the Green's function of an isotropic plate due to a point source applied normally to the surface. The advantage of using the finite element method is that it can be extended to model realistic geometries that cannot be treated analytically. The numerical results presented here are based on a two-dimensional axi-symmetric transient finite element analysis. A limited bandwidth approximation of a delta function is used (Hanning function) for modeling the source. Hence the solution is called the band-limited Green's function. The exact analytical solutions of the Green's function of an isotropic infinite plate are used to validate the numerical solutions. Further analysis is carried out to investigate the effects of varying the spatial resolution of the finite element model on the accuracy of the solutions. Finally, it is demonstrated how the results of the band-limited Green's function can be used to accurately convolve the response of an arbitrary source function.
机译：对瞬态波在固体中传播进行建模并确定格林函数的能力在提高声发射定量源表征的可靠性中起着重要作用。在这项工作中，由于点源通常应用于表面，因此采用有限元方法确定各向同性板的格林函数的数值解。使用有限元方法的优势在于，它可以扩展为对无法解析处理的实际几何形状进行建模。此处给出的数值结果基于二维轴对称瞬态有限元分析。使用增量函数（Hanning函数）的有限带宽近似值对源进行建模。因此，该解决方案称为带限格林函数。各向同性无限板的格林函数的精确解析解用于验证数值解。进行了进一步的分析，以研究改变有限元模型的空间分辨率对解的准确性的影响。最后，证明了带限格林函数的结果如何可用于准确地卷积任意源函数的响应。

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