E0-190-2008_(8)Chapter_6(Substructure_Method)

13 the matrix kff indicates the dynamic impedance of

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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.(22-1), (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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