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FEM analysis of dispersive elastic waves in three-layered composite plates with high contrast properties

机译：具有高对比度特性的三层复合板分散弹性波的FEM分析

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摘要

The limitations of the dynamic theories for the thin layered elastic structures, which very often have different physical and geometrical contrast properties of the layers in today's high-tech applications, bring a number of challenges in the numerical computation of the dynamic response. This is a strong motivation to develop a suitable computational methodology for accurate evaluation and implementation of the numerical results, aiming at accurate interpretation of the vibration spectra and the associated displacement and stress fields.In this paper, a newly developed numerical engineering approach is presented for the study of elastic wave dispersion in composite plates (sandwich plates) with high-contrast properties of the layers using modal finite element method (FEM) analysis implemented in commercial software. The obtained results are compared with the iterative numerical solution of the Rayleigh-Lamb dispersion equation for the fundamental flexural wave and the first shear harmonic.It is shown that the complexity of the dispersion phenomena, including the cut-off frequencies of higher order vibrational modes, has been captured very accurately and that the developed computational methodology provides a valuable insight into the frequency range in which the respective mode can be activated. This perspective shows a great potential of the approach to be employed in many engineering applications involving multi-layered structures with arbitrary number of layers.
机译：薄层弹性结构的动态理论的局限性，在当今的高科技应用中，通常具有不同的物理和几何对比度特性，在动态响应的数值计算中带来了许多挑战。这是开发合适的计算方法的强烈动机，以便准确评估和实施数值结果，旨在准确地解释振动谱和相关的位移和应力场。本文提出了一种新开发的数值工程方法使用模态有限元法（FEM）分析在商业软件中具有高对比度与层的高对比度特性的复合板（夹层板）的弹性波分散研究。将得到的结果与用于基本弯曲波的瑞利 - 羊羔色散方程的迭代数值溶液和第一剪切谐波进行比较。表明分散现象的复杂性，包括更高阶振动模式的截止频率，已经非常准确地捕获，并且开发的计算方法提供了对可以激活各个模式的频率范围提供有价值的见解。这种透视图示出了许多工程应用中的方法的巨大潜力，涉及具有任意数量的层的多层结构。

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