Computation of dispersion relations of functionally graded rectangular bars
Computation of dispersion relations of functionally graded rectangular bars
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DOI：
10.1016/j.compstruct.2015.07.064
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发表时间：
2015-12-01
影响因子：
6.3
通讯作者：
Wu, Bin
中科院分区：
文献类型：
--
作者：
Liu, Yijie;Han, Qiang;Wu, Bin
用二维Rayleigh-Ritz方法研究了弹性波在功能梯度矩形杆中的传播特性。Legendre正交多项式被用作试函数。假定材料属性沿宽度方向沿着分级。这个色散方程是从三维变分方程弹性动力学。通过与比例边界有限元法的比较，证明了该方法的收敛性和精度。最后，给出了各种矩形波导的相位曲线和群曲线，分析了宽长比和体积分数对波传播色散特性的影响。(C)2015爱思唯尔有限公司版权所有。
The propagation characteristics of elastic wave in the functional graded rectangular bars are studied by the two dimensional Rayleigh-Ritz method. Legendre orthogonal polynomials are used as trial functions. The material properties are assumed to be graded along the width direction. This dispersion equation is obtained from the 3D variational formulation governing elastodynamics. The convergence and accuracy are demonstrated by comparisons with the available solution of the scaled boundary finite element method. Finally, we give some phase and group curves of various rectangle waveguides and analyze influences of the width to length ratio and volume fraction indexes on dispersive behavior for wave propagation. (C) 2015 Elsevier Ltd. All rights reserved.