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竖向非均匀介质中的Love面波 被引量:3

LOVE WAVES IN VERTICAL INHOMOGENEOUS MEDIA
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摘要 本义利用WKBJ近似(即几何近似)理论研究介质参数随深度作连续变化的竖向非均匀弹性半空间上覆盖一层厚度为H的均匀各向同性的弹性介质时Love面波的频散问题,给出其频散方程。文中以剪切弹性模量和质量密度随深度呈抛物线变化的非均匀介质为例,给出其最低阶振型的频散曲线。 he WKBJ approximation method is used to solve the dispersion problem of Love waves in a depth - dependent vertical inhomngeneous elastic half-space covered with an isotrnpic homogeneous elastic layer whose thickness is H and the dispersinn equatinn is presented. As an example an inhomogeneous medium is studied where the shear modulus and mass density are parabolic and the dispersion curve of the lowest order vibration type is given.
出处 《地震工程与工程振动》 CSCD 北大核心 1998年第2期1-7,共7页 Earthquake Engineering and Engineering Dynamics
基金 国家教委博士点基金
关键词 竖向非均匀 Love面波 频散 地震波 Vertical inhomogeneous media, WKBJ, Love waves, Dispenion
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参考文献4

  • 1杨训仁,大气声学,1997年
  • 2蔡在良,固体中的波,1995年
  • 3Xia Tangda,J Vib Eng,1994年,7卷,4期,357页
  • 4冯德益,地震波理论与应用,1988年

同被引文献28

  • 1袁玲,沈中华,倪晓武,陆建.表面性质变化材料中激光声表面波的数值计算[J].红外与激光工程,2007,36(z1):596-599. 被引量:1
  • 2陆毅,朱云,朱哲民,毛一葳.有粘弹薄层负载时薄板中的Lamb波传播[J].声学学报,2006,31(4):355-362. 被引量:2
  • 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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