Hybrid method for the computation of dynamic soil-structure ...

Asymptotic expansion for ω → ∞Hybrid domain methodIntroductionHybrid methodTime Domain BEMyxyxFE-BEConclusionszz■ A direct stiffness approach is considered (Luco and Apsel 1983)■ Out-of-plane motion:√˜K SH (k x , ω) = iµω 2C 2 s− k 2 x ∼ iωρC s for ω → ∞ (5)■ In-plane motion:˜K P−SV (k x , ω) =[µkx 2 + k zs k zp∼ iωρ[ ]C s 00 C p]iks 2k zp k x (2kx 2 − k2 s + 2k zsk zp )k x (2kx 2 − ks 2 + 2k zs k zp ) iksk 2 zsfor ω → ∞ (6)LMSSMat Hybrid method for the computation of dynamic soil-structure interaction in the time domain - p. 12/44