何建璋;赵金峰;

• 1:同济大学航空航天与力学学院

摘要(Abstract)：

研究了置于流体中无限大各向同性功能梯度材料板相对于入射弹性波的传输系数.首先给出弹性波在多层介质中传播的循环刚度矩阵计算方法,然后利用该方法计算了弹性模量以幂函数形式变化、泊松比不变的功能梯度材料板相对于入射弹性波传输系数,分析了材料性能的梯度变化对传输系数与频厚积关系的影响.结果表明当频厚积较大时,材料性能的梯度变化明显影响弹性波的传输系数.

关键词(KeyWords)： 功能梯度材料;循环刚度矩阵法;传输系数

Abstract:

Keywords:

基金项目(Foundation):

作者(Author): 何建璋;赵金峰;

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参考文献(References)：

• [1]Liu G R,Tani J,Ohyoshi T.Lamb Wavesin a Functionally Gradient Material Plates and Its Transient Response[J].Transactions ofthe Japan Society of Mechanical Engineers,1991,57(535):131-142.
• [2]曹小杉,金峰,王子昆.功能梯度板中Lamb波传播特性研究[J].固体力学学报,2009,30(1):35-41.CAO Xiao-shan,JI N Feng,WANG Zi-kun.Propagation Properties of Lamb Waves in Functionally Graded Plate[J].Acta MechanicaSolida Sinica,2009,30(1):35-41.
• [3]刘睫,王子昆,张陵.梯度材料层状结构中的Love波[J].固体力学学报,2004,25(2):165-170.LI UJie,WANG Zi-kun,ZHANG Ling.Love Wavesin Layered Structures with Graded Materials[J].Acta Mechanica Solida Sinica,2004,25(2):165-170.
• [4]Ishi maru Akira.Electromagnetic Wave Propagation,Radiation and Scattering[M].New York:Prentice-Hall International Inc,1991.
• [5]张立刚,盖秉政,朱虹.功能梯度材料中SH波的传播[J].哈尔滨商业大学学报:自然科学版,2007,23(1):80-83.ZHANG Li-gang,GAI Bing-zheng,ZHU Hong.SH-Wave Propagationin Functionally Graded Materials[J].Journal of Harbin Uni-versity of Commerce:Natural Sciences,2007,23(1):80-83.
• [6]赵亚军,潘永东,钱梦騄.板状功能梯度材料中的超声波频散特性的计算[J].声学技术,2007,26(5):1008-1009.ZHAO Ya-jun,PAN Yong-dong,QI AN Meng-lu.Calculation of Dispersive Properties of Ultrasonic Wavesin a Functionally GradientPlate[J].Technical Acoustics,2007,26(5):1008-1009.
• [7]Pease MC.Methods of Matrix Algebra[M].New York:Academic Press,1965.
• [8]Han X,Liu G R,Lam K Y.A Quadratic Layer Element for Analyzing Stress Wavesin FGMS andIts Applicationin Material Charac-terization[J].Journal of Sound and Vibration,2000,236(2):307-321.
• [9]Chen W Q,Wang H M,Bao R H.On Calculating Dispersion Curves of Waves in a Functionally Graded Elastic Plate[J].CompositeStructures,2007,81:233-242.
• [10]伊文W M.层状介质中的弹性波[M].刘光鼎,译.北京:科学出版社,1957.Ewing W M.Elastic Wave in Layered Media[M].Translator:LI U Guang-ding.Beijing:Science Press,1957.
• [11]Wang Lugen,Rokhlin SI.Recursive Geometric Integrators for Wave Propagationin a Functionally Graded Multilayered Elastic Me-dium[J].Journal of the Mechanics and Physics of Solids,2004,52:2473-2506.
• [12]罗斯J L.固体中的超声波[M].何存富,译.北京:科学出版社,2004.Rose J L.Ultrasonic Waves in Solid Media[M].Translator:HE Cun-fu.Beijing:Science Press,2004.