Floquet waves in anisotropic periodically layered composites
Floquet waves in anisotropic periodically layered composites
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各向异性周期性层状复合材料中的Floquet波
DOI：
10.1121/1.402505
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发表时间：
1992
影响因子：
2.4
通讯作者：
G. Herrmann
中科院分区：
文献类型：
--
作者：
A. Braga;G. Herrmann
各向异性层状介质平面谐弹性运动的场方程以微分方程的矩阵系统的形式表示，其中因变量是作用在垂直于分层方向的平面上的位移和力。在周期性分层介质的情况下，Floquet定理和传播矩阵方法可以用来求解控制六次矩阵方程。在没有源或体力的情况下，分层介质的一般运动由六个分波（Floquet波）的组合来描述。导出了这种波的色散方程的封闭形式的代数解。详细讨论了描述正交铺设周期层合板色散谱的数值结果。
The field equations governing the plane harmonic elastic motions of anisotropic stratified media are written in the form of a matrix system of differential equations, where the dependent variables are the displacements and tractions acting across planes normal to the direction of stratification. In the case of periodically layered media, Floquet’s theorem and the propagator matrix method can be applied to solve the governing sextic matrix equation. In the absence of sources or body forces, the general motion of the layered medium is described by a combination of six partial waves (Floquet waves). A closed‐form algebraic solution for the dispersion equation of such waves is derived. Numerical results describing the dispersion spectrum of a cross‐ply periodic laminated are discussed in detail.