摘要
分析了厚度-扭曲波在无限大功能梯度压电双材料板中的传播性能,板的上表面和下表面是机械自由和电学开路的,材料常数在厚度方向按指数规律变化。首先推导了满足控制方程和边界条件的电弹场,然后利用界面条件得到了厚度-扭曲波传播所应满足的关系。通过算例表明了材料梯度变化对厚度-扭曲波传播性能的影响,结果对功能梯度压电材料在声波器件中应用有参考价值。
This paper analyzes the thickness-twist wave propagating in a functionally graded piezoelectric bi-material plate. The upper and lower surfaces of the plate are mechanically free and electrically open. The material properties of the plate vary exponentially along the plate thickness. The electro-elastic fields satisfying the governing equations and the boundary conditions are firstly derived. Then the interracial continuous conditions are utilized to obtain the relations that should be satisfied by thickness-twist waves. A numerical example is provided to show the effect of the material inhomogeneity on propagation characteristics of thickness-twist waves. The obtained results may be useful for the application of functionally graded piezoelectric materials to acoustic wave devices.
出处
《工程力学》
EI
CSCD
北大核心
2012年第7期24-28,41,共6页
Engineering Mechanics
基金
国家自然科学基金项目(10972147)
教育部"长江学者和创新团队"发展计划项目(IRT0971)
河北省教育厅基金项目(2011123)
关键词
功能梯度材料
压电材料
双材料板
厚度-扭曲波
反平面变形
functionally graded materials
piezoelectric material
bi-material plate
thickness-twist waves
anti-plane deformation
