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.
出处
《复合材料学报》
EI
CAS
CSCD
北大核心
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)
关键词
表面波
哈密顿体系
精细算法
各向异性
Computer simulation
Differential equations
Frequency domain analysis
Multilayers
Numerical methods
Stress analysis
