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振动场中散体介质波的传播规律
引用本文:孙业志,吴爱祥,黎剑华,赵国彦.振动场中散体介质波的传播规律[J].矿冶工程,2001,21(2):12-14,17.
作者姓名:孙业志  吴爱祥  黎剑华  赵国彦
作者单位:中南大学 资源环境与建筑工程学院,
基金项目:国家自然科学基金资助项目 (50 0 740 34)
摘    要:非理想散体介质显现出非匀质性、各向异性和层状分布等特点 ,且有气、液、固三相 ,其波的传播比较复杂。当应变值ε <1× 10 - 4 时 ,散体介质为弹性介质 ,据此分析并给出了各向同性散体介质中弹性波的波动方程、传播速度和波动能量的表达式 ,以及横观各向同性介质中弹性波的波动方程和能量透过系数表达式 ,并通过试验验证了能量衰减与分层介质密度有关。此外 ,根据瑞利波由P波和S波振动叠加而成的特点 ,分析了无限半空间各向同性介质和横观各向同性介质中瑞利波的传播特性 ;又由于勒夫波由SH波经多次全反射加强干涉产生 ,研究表明其运动特性与散体厚度和剪切波速度等因素有关

关 键 词:散体介质  弹性波  瑞利波  勒夫波  振动场  波动方程

Characters of Wave Propagation in Granular Media
SUN Ye-zhi,WU Ai-xiang,LI Jian-hua,ZHAO Guo-yan.Characters of Wave Propagation in Granular Media[J].Mining and Metallurgical Engineering,2001,21(2):12-14,17.
Authors:SUN Ye-zhi  WU Ai-xiang  LI Jian-hua  ZHAO Guo-yan
Abstract:Real granular media manifest such characters as nonuniformity, ani sotropy and lamellar distribution and have gas, liquid and solid phases. Therefo re propogation of waves in them is very complex. When their strain number, ε <1×10-4, they are elastic media. According to this, the authors ana lyse and give the wave motion equation of elastic waves in isotropic media and t he expression of wave propogation velocity and wave energy, as well as the wave motion equation of elastic waves in horizontally isotropic media and the express ion of energy penetration coefficient of elastic waves. The tests show that ener gy attenuation has relation to the density of layered media. Rayleigh wave is a type of superimposition wave forming by vibration of P and S waves. According to the characteristic, the authors analyse the propagation characters of Rayleigh wave in isotropic media and horizontally isotropic media in semi-infinite body . In addition, Love wave is a kind of interference wave which is caused by total reflection of SH waves. The study shows that its characters depend on the thick ness of granular media and the velocity of shear waves, etc.
Keywords:granular medium  elastic wave  Rayleigh wave  Love wave  
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