5d j 57 where 58 59 4 time domain response analysis

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Unformatted text preview: sis When the incident wave propagating upward in the engineering bedrock is assumed as the harmonic wave with the displacement amplitude of EO(ω) and the angular frequency ω: (60) the displacement amplitude at the j-th interface due to the incident wave is expressed by: (61) and also, the shear strain amplitude by: (62) ~ (ω)・2E (ω)eiωt UO O G.L (1) (1) ~ (ω)・2E (ω)eiωt U 1 (2) (2) (3) (j) (j) (j+1) (n) (n+1) O U2(ω)・2EO(ω)eiωt . . . ~ (ω)・2E (ω)eiωt Uj O . . . (j) ~ (ω)・2E (ω)eiωt Uj-1 O ~ Γj(ω)・ 2EO(ω)eiωt (j) (j+1) ~ Uj(ω)・2EO(ω)eiωt (c) Terms for j-th Stratum 2EO(ω)・eiωt (n) ~n(ω)・2EO(ω)eiωt U (n+1) EO(ω) eiωt : Incident Wave Engineering Bedrock (a) Multi-Layered Strata EO(ω) eiωt : Incident Wave Engineering Bedrock (b) Outcrop of Eng. Bedrock The design basis earthquake acceleration time history: (63) is provided at the outcrop of the engineering bedrock, which means the engineering bedrock without the overlying soil strata(Surfac...
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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.

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