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

8 without a void the displacement vector xsfq xssqt

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: without a void, the displacement vector {{XsFq} {XsSq}}T, and the stress vector {σ} on the F can be obtained. Appling the stress vector {σ} in the reverse direction on the interface F as shown in Fig.9: the displacement vector {{XσFq} {XσSq}}T are caused. The numerical condition of Fig.7: can be decomposed into that of Fig.8 and Fig.9: and sum of Fig.8 and Fig.9 satisfy the disappearance of the stress {σ} along the F. {XFq}={XSFq}+{XσFq} The displacement vectors {{XFq} {XSq}}T are the earthquake response of the soil with the void, (22) which can be expressed by the sum of {{XsFq} {XsSq}}T and {{XσFq} {XσSq}}T. In Eq.(22): (22) The first term in the right hand side corresponds to the earthquake response of the soil without a void, while the second to the response of the soil without the void due to the counter stress -{σ} on the interface F. Expressing the dynamic stiffness of the soil within the void by [KV] , which will be excavated as shown in Fig.10: Then, the equation of motion f...
View Full Document

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.

Ask a homework question - tutors are online