E0-190-2008_(10)1D_Shear_Propagation(SHAKE)

# j j fj j vj hj ej j1 dj n n1 gl n n1 en en1 eo fn n

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2 d1 d2 . . . (j) (j) Fj ρj, Vj, hj Ej (j+1) dj . . . (n) (n+1) G.L (n) (n+1) En En+1 =Eo Fn ρn, Vn, hn dn Fn+1 ρn+1, Vn+1, hn+1 Engineering Bedrock Wave Propagation in Multi-Layered Strata We consider the wave propagation in j-th stratum of the multi-layered strata. zj=0 ( j) j-th stratum Ej Fj dj Zj zj=dj ( j+1) zj+1=0 ( j+1)-th stratum Zj+1 The displacement amplitude U and the shear stress amplitude Τ are expressed by Eq.(14) and Eq.(15) as explained before. (14) (15) The subscript j is employed for expression of the term concerning j-th stratum. The displacement amplitude Uj(zj) and the shear stress amplitude Tj(zj) in the j-th stratum can be expressed by: (16) (17) ( j) j-th stratum ( j+1) Ej Fj Zj Uj(zj) Τj(zj) dj On the (j+1)-th interface between j-th and (j+1)-th stratum, the displacement continuity: (18) And the shear stress continuity : (19) must be satisfied: zj=0 ( j) ( j) Ej Fj Zj Uj(dj)=Uj+1(0) ( j+1) Ej+1 ( j+1) Fj+1 dj Τj(dj)=Τj+1(0) Zj+1 Putting Eq.(16) : (16) into...
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