Unformatted text preview: ). The matrix [KFF] indicates
the dynamic impedance of
the soil without the void as
shown in the figure.
And,
(35)
Using Eq.(221),
(36)
Getting back to Eq.(21):
(21) In Eq.(31):
(31)
the second equation is:
that is:
(32)
and the first equation is: (33) As same as Eq.(17) :
(17)
which denotes the dynamic impedance of the soil with
the void on the F,
Eq.(33):
(33)
can be represented by:
(34)
where, The mechanics of Eq.(34) is shown in the figure. The matrix [KFF] indicates
the dynamic impedance of
the soil without the void as
shown in the figure.
And,
(35)
Using the first equation in Eq.(22):
(22) The displacement vector {XFq} can be expressed by:
(36) Getting back to Eq.(21):
(21)
Putting Eq.(36):
(36)
into Eq.(21),
Then, Eq.(21) is transformed into: (37) [KF] is the dynamic
impedance function of the
soil with the void,
The calculation of [KF] is
little bit difficult.
However,
[KF] is [KFF] minus [KV] :
Where,
[KFF] is the dynamic
stiffness matrix of the soil
without the void
and [KV] is the dynamic
stiffness of the soil part which
will be excavated. [KF]=[KFF] [KV] Dynamic Soil Structure Interaction END
Substructure Method
For SSI Analysis Kenji MIURA, Dr. Eng.
Professor
Graduate School of Engineering
Hiroshima University...
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 Summer '14
 DrGRD
 Force, Euclidean vector, Eq., KFF, SSI Analysis

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