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《Journal of Hohai University(Natural Sciences)》 2008-02
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Ray theory solution of the elevation amplification effect on a single-free-face slope

SHI Chong,ZHOU Jia-wen,REN Qiang,ZHOU Xian-qi (Research Institute of Geotechnical Engineering,Hohai University,Nanjing 210098,China)  
Planar ray theory is used to deduce the analytic solution of the elevation amplification effect on a single-free-face slope in seismic engineering.It is proved that the solution can describe the reflection effect of seismic waves on the free face of the slope and reflect the elevation amplification effect.It is shown that the surface reflection induces the amplification effect.Dynamic Young's modulus,Poisson's ratio,gradient and incident wave frequency are all contributing factors of the elevation amplification coefficient,which has intervals of rough and fine contour and rhythmic variation.Rhythmicity and the number of extreme points increases with the increase of the incident frequency.A natural slope is under reflection of free faces,refraction and reflection of rock interfaces,and the elevation amplification effect may be greater in single-free-face slope than at the foot of the slope.
【CateGory Index】: TU435
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