A new method for analysing wave fields in laminated composite plates: two-dimensional cases

G.R. Liu, K.Y. Lam, H.M. Shang
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引用次数: 17

Abstract

A new method is proposed to analyse the wave field in a laminated composite plate excited by an incident wavelet of low to intermediate frequency. In this method, several techniques are combined to avoid numerical difficulties and obtain a high computational efficiency. To deal with the problem caused by the inhomogeneity of the plate in the thickness direction, the finite element technique is used to divide the plate into strip elements. The Fourier transform is then used in the horizontal direction of the plate. In dealing with the time integration, the Newmark scheme (a direct integral scheme) is employed to obtain the displacement in the Fourier transform domain. Finally, the wave field in the plate is obtained by an inverse Fourier integration. The present method can be used for laminates with many layers, and the integrand for the inverse Fourier transform behaves very well and is easy to evaluate. Examples are presented to demonstrate the efficiency of the present method, and wave fields in laminated composite plates are also investigated.

一种分析复合材料层合板波场的新方法:二维情况
提出了一种利用低频至中频入射小波分析复合材料层合板波场的新方法。在该方法中,多种技术相结合,避免了数值上的困难,获得了较高的计算效率。为了解决板在厚度方向上的不均匀性问题,采用有限元技术将板划分为条形单元。然后在平板的水平方向上进行傅里叶变换。在处理时间积分时,采用Newmark格式(一种直接积分格式)在傅里叶变换域中获得位移。最后,通过傅里叶反积分得到平板内的波场。该方法可用于多层板,其傅里叶反变换的被积函数性能良好,易于求值。算例表明了该方法的有效性,并对复合材料层合板中的波场进行了研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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