期刊文献+

功能梯度材料板中弹性波的传输系数研究

Study on the Transmission Coefficient of Elastic Waves Propagating in a Plate Made of Isotropic Functionally Graded Materials
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摘要 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. This paper presented an investigation on the transmission coefficient of elastic waves in an isotropic functionally graded plate immersed in the fluid,then the recursive stiffness matrix method was furnished to study the waves propagating in a multilayered structure,and finally the method applied to study the transmission coefficients of elastic waves in a functionally graded plate.Yang's modulus was assumed to have the power law profiles while the Poisson ratio was kept as a constant.The influence of the properties of the graded materials on the relationship between the transmission coefficient and the frequency-thickness was analyzed.The results show that the properties of the graded materials have significant effects on the transmission coefficients when the value of frequency-thickness is high.
出处 《青岛理工大学学报》 CAS 2011年第2期113-117,共5页 Journal of Qingdao University of Technology
关键词 功能梯度材料 循环刚度矩阵法 传输系数 functionally graded material recursive stiffness matrix method transmission coefficient
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参考文献12

  • 1Liu G R, Tani J, Ohyoshi T. Lamb Waves in a Functionally Gradient Material Plates and Its Transient Response [J]. Transactions of the Japan Society of Mechanical Engineers ,1991 ,57 (535) :131-142.
  • 2曹小杉,金峰,王子昆.功能梯度材料板中Lamb波传播特性研究[J].固体力学学报,2009,30(1):35-41. 被引量:11
  • 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. 被引量:16
  • 4Ishimaru 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. 被引量:3
  • 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. 被引量:3
  • 7Pease M C. Methods of Matrix Algebra [M] . New York: Academic Press, 1965.
  • 8Han X, Liu G R , Lam K Y. A Quadratic Layer Element for Analyzing Stress Waves in FGMS and Its Application in Material Charac terization[J]. Journal of Sound and Vibration, 2000, 236 (2) :307-321.
  • 9Chen W Q, Wang H M, Bao R H. On Calculating Dispersion Curves of Waves in a Functionally Graded Elastic Plate[J]. Composite Structures, 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.

二级参考文献35

  • 1丁桦,龙丽平,伍彦峰.SPH方法在模拟线弹性波传播中的运用[J].计算力学学报,2005,22(3):320-325. 被引量:5
  • 2刘殿魁.弹性波的衍射与动应力集中[M].北京:科学出版社,1993..
  • 3Liu G R,Tani J,Ohyoshi T. Lamb waves in a functionally gradient material plates and its transient response. Part 1: Theory; Part 2: Calculation result [J]. Transactions of the Japan Society of Mechanical Engineers, 1991,57(A) (535) : 131-142.
  • 4Han X,Liu G R,Lam K Y,Ohyoshi T. A quadratic layer element for analyzing stress waves in FGMs and its application in material characterization[J]. Journal of Sound and Vibration,2000,236 (2) :307-321.
  • 5Liu G R, Han X, Lam K Y. An integration technique for evaluating confluent hypergeometric functions and its application to functionally graded materials [J]. Computers & Structures,2001,79(10):1039-1047.
  • 6Chakraborty A, Gopalakrishnan S. Wave propagation in inhomogeneous layered media: Solution of forward and inverse problems [J]. Acta Mechanica, 2004,169 (1-4) : 153-185.
  • 7Ishimaru Akira. Electromagnetic Wave Propagation, Radiation and Scattering [M]. Prentice-Hall International Inc, 1991.
  • 8Li X Y,Wang Z K,Huang S H. Love waves in functionally graded piezoelectric materials [J]. International Journal of Solids and Structures,2004,41(26) 7309-7328.
  • 9Zhenghua Qian, Feng Jin, Zikun Wang, et al. Transverse surface waves on a piezoelectric material carrying a functionally graded layer of finite thickness[J]. International Journal of Engineering Science, 2007, 45 :455-466.
  • 10Vlasie V,Rousseau M. Guided modes in a plane elastic layer with gradually continuous acoustic properties [J]. NDT&E International, 2004,37 : 633-644.

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