Modal Representation of Two-Dimensional Elastodynamic Green's Functions
Modal Representation of Two-Dimensional Elastodynamic Green's Functions
复制标题
二维弹性动力格林函数的模态表示
DOI：
10.1061/(asce)0733-9399(1995)121:1(26
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
S. Datta
中科院分区：
文献类型：
--
作者：
J. Zhu;A. H. Shah;S. Datta
用导模表示法研究了复合材料层合板的格林函数。这里的注意力集中在二维(平面应变)运动上。为此，用Muller方法求解了层合板的精确色散方程，并用基于刚度的Rayleigh-Ritz型近似技术得到了初始估计。通过采用Delta矩阵技术，绕过了与计算高频本征值和本征模有关的众所周知的数值困难。将各向同性板的数值计算结果与波数积分的计算结果进行了比较。文中还给出了35层正交层复合板的计算结果。
Green's functions for a laminated composite plate have been studied using the representation in terms of guided modes. Attention has been focused here on the two-dimensional (plane strain) motion. For this purpose, the exact dispersion equation for the laminated plate has been solved using Muller's method, and initial estimates obtained through a stiffness-based Rayleigh-Ritz type approximate technique. The well-known numerical difficulties associated with computation of eigenvalues and eigenmodes at high frequencies are circumvented by adopting the delta matrix technique. Numerical results for an isotropic plate are compared with those obtained from the evaluation of the wave-number integrals. Results are presented also for a 35-layer cross-ply composite plate.