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.

薄层弹性结构动力学理论的局限性在当今的高科技应用中常常具有不同的物理和几何对比特性，这给动态响应的数值计算带来了许多挑战。这是开发合适的计算方法以准确评估和执行数值结果的强烈动机，目的是准确解释振动谱以及相关的位移和应力场。

本文提出了一种新的数值工程方法，用于利用商业软件中实现的模态有限元方法（FEM）分析研究具有高对比度特性的复合板（夹层板）中的弹性波频散。将所得结果与基本挠曲波和一次剪切谐波的瑞利-兰姆色散方程的迭代数值解进行比较。

结果表明，色散现象的复杂性，包括高阶振动模式的截止频率，已被非常准确地捕获，并且发达的计算方法为可激活各个模式的频率范围提供了宝贵的见解。 。该透视图显示了该方法在涉及具有任意数量层的多层结构的许多工程应用中所采用的方法的巨大潜力。