四边固支功能梯度板中波的传播  

Wave propagation in a rectangular functionally graded material plate with clamped supports

作　　者：孙丹[1] 罗松南[1] 

机构地区：[1]湖南大学力学与航空航天学院,长沙410082

出　　处：《振动与冲击》2011年第4期244-247,275,共5页Journal of Vibration and Shock

基　　金：高等学校博士学科点专项科研基金(20050532002);湖南省自然科学基金(06JJ2058)资助项目

摘　　要：考虑剪切变形和转动惯性的影响,采用一阶剪切变形板理论和小应变的应变-位移关系,利用Hamilton原理推得运动控制方程,并应用特征值方程得到频散方程。给出了波在功能梯度板中传播的频散,相速度和群速度随波数变化的曲线,分析了不同的功能梯度材料指数对波传播的影响规律。Base on the first-order shear deformation theory and the small strain-displacement relations,the effects of shear deformation and rotary inertia were considered and the governing equations for wave propagation in a rectangular FGM plate were derived by using of Hamilton principle.The analytic dispersion relation of the FGM plate was obtained by means of the eigenvalue equations.A complete discussion of dispersion of the rectangular FGM plate was given.The dispersion curves,the phase velocity curves and the group velocity curves of the wave propagation in the FGM plate were plotted,respectively.The influence of the parameters of the functionally graded material on wave propagation was analyzed.

关 键 词：波的传播 功能梯度板 一阶剪切变形板理论 频散关系 

分 类 号：O347.41[理学—固体力学]