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Unformatted text preview: g Eq.(13): u1( z, t ) = E1(ς1) and Eq.(16) :
We obtain: (22) Similarly, putting Eq.(14):
and Eq.(17) :
Then, (23) Defining the impedance ratio α as: (24) then, Eq.(23):
leads to: (25) Integrating Eq.(25) gives : (26) Adding Eq.(22):
(28) Substituting Eq.(28) into Eq.(26):
Define the transmission T and reflection coefficient R as:
Transmission coefficient : (30) Reflection coefficient ： (31) Using T and R, the transmission wave E1(t+z/V1) and
the reflection wave F2(t-z/V2) are given by: (32)
ρ1,V1 2 E1(t+z/V1)=T(α) E2(t+z/V2) 1.5 T
Medium 1 z E2(t+z/V2) Medium 2 T and R 1 0.5 R
0 F2(t-z/V2) =T(α) E2(t+z/V2)
-0.5 ρ2,V2 α=ρ1V1/ρ2V2 0 1
α α 2 (4) Amplification of a surface stratum
on the engineering bedrock
We consider the SH wave propagation in a surface
stratum on the engineering bedrock, when the SH wave
EO(t) incidents. The equation of the motion is given by Eq.(6): (6)
in which ω denotes circular frequency(rad./sec).
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This note was uploaded on 03/14/2014 for the course CE 5680 taught by Professor Drgrd during the Summer '14 term at Indian Institute of Technology, Chennai.
- Summer '14