{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}


5 k fb xb k ffb xf k ffs xf k

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: XB } + [K FFB ]{ XF }) + ([K FFS ]{ XF } + [K FS ]{ X S ) = {0} (5) by: (6) Then, the second parenthesis must be: (7) where, {F} denotes "Interaction Force Vector" between B and S region, and is applied on the interface F. {F} Joining Eq.(1-1): (1) with Eq.(6) : (6) gives: (8) Also, joining Eq.(7) : (7) with Eq.(1-3) : (1) leads to: (9) All entries in the dynamic stiffness matrix of Eq.(8) : (8) can be determined by the material constants of B region, while that of Eq.(9): (9) by S region. You can see that Eq.(1): (1) is separated into Eq.(8) : (8) and Eq.(9): (9) Eq.(8) and Eq.(9) are jointed by the interaction force vector {F} on the interface F. The mechanics for Eq.(8) : (8) can be expressed by Fig.3: which governs the B region including the F region. And also, the mechanics of Eq.(9) : (9) is illustrated by Fig.4: The equation governs the S region including the F region with a void. The void indicates the soil part which is excavated. In Eq.(9): (9) the external force term vector can be decomposed into: (10) The corresponding displacement vector are defined by: (11) The first vector {{XFf} {{XSf}}T in the right hand side is due to the interaction force vector {{F} {0}}T, while the second {{XFq} {{XSq}}T to the earthquake disturbance vector {{0} {Q}}T. That is, the fir...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online