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Unformatted text preview: ency ω .
Substituting Eq.(7) into Eq.(4) :
we obtain the equation below:
(8) Introducing the notation:
Then, the complex elastic shear modulus can be
ζ is complex number. We adopt ζ of which both real and
imaginary part are positive real numbers. That is,
In the left hand side of Eq.(8):
(8) Expressing the coefficient of the second term by:
is transformed into Eq.(13):
The solution of Eq.(13) is given by:
The shear stress(amplitude) Τ, which corresponds to the
displacement(amplitude) U, is expressed by :
(15) (3) Application to Multi-Layered Strata
On the multi-layered
strata shown in the
figure, we consider the
wave propagation due to
the incident earthquake
wave EOeiωt , which
propagates upward in
the deepest stratum
displacement of the
incident wave with the
amplitude EO and the
angular frequency ω. Interface No.
(1) E1 F1 (2) (2) (1) E2 F2 (3) ρ1, V1, h1
ρ2, V2, h...
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- Summer '14