基于Hamilton体系多层各向异性材料表面波传播的数值解法  

NEW NUMERICAL METHOD FOR SURFACE WAVE PROPAGATION IN MULTILAYER ANISOTROPY MATERIALS

作　　者：孙雁[1] 李红云[1] 谢军[1] 

机构地区：[1]上海交通大学工程力学系,上海200030

出　　处：《复合材料学报》2004年第5期165-169,共5页Acta Materiae Compositae Sinica

基　　金：国家自然科学基金项目 ( 10 13 2 0 10 ) ;( 10 10 2 0 11)

摘　　要：针对层状各向异性材料 ,着重研究波传播问题中的表面波。将位移分量和应力分量组合成混合状态向量 ,使研究体系从Lagrange体系转换成Hamilton体系。用精细算法和扩展的Wittrick Williams算法求解波传播问题的特征值 ,并着重对表面波做了分析。给出了该方法在各向同性、多层各向异性材料的数值算例 。Rayleigh surface wave propagation for multiplayer anisotropic materials is studied. Both displacements and stresses are combined into a mixed state vector, from the system of Lagrange to that of Hamilton and so that the orders of differential equations are reduced from two to one. The eigenvalues of wave equations are solved by the precise integration and extended Wittrick-Williams algorithm. The numerical examples have proved the efficiency and precision of this method in anisotropic and isotropic materials.

关 键 词：表面波 哈密顿体系 精细算法 各向异性 

分 类 号：O347[理学—固体力学] TB330.1[理学—力学]