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Unformatted text preview: EO denotes the
incident wave amplitude at the
engineering bedrock. Ej En
Bedrock Because the shear stress at the soil surface (z1=0) must
( 1) 1-th stratum E1 Z1 F1=E1 dj (2) 2-nd stratum Z2 the shear stress amplitude given by Eq.(17): (17)
becomes zero at the soil surface j=1 and z1=0. (42)
(43) Substituting Eq.(43) into Eq.(16): (43)
the displacement amplitude for the first stratum (j=1)
and the displacement amplitude Us at the soil surface
z1=0 becomes: (45) Substituting Eq.(43): (43)
into Eq.(40)： (40)
∴ Eo = (b11 + b12 )E1 (47) Eq.(47) gives: (48) Finally, (49)
Putting: (50) then, Eq.(49) can be rewritten by: (51) In Eq.(29)： (29)
putting j=1, then: (52)
where, (53) Concerning the j-th stratum, (54)
the displacement amplitude Uj at the j-th interface is: (56)
The shear strain amplitude Γj in the j-th stratum is:
Γj = Γj ( z j = 0.5d j ) (57)
(59) (4) Time Domain Response Analy...
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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