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

FE-BE couplingThe dynamic soil-structure interaction forcesIntroductionHybrid methodTime Domain BEMFE-BE• FE model• Substructuring• FE equation• Implementation• Response• VerificationConclusions■ Linear temporal variation of the soil-structure interaction forces f s (t):■ Instantaneous soil flexibility:■ Influence matrices:α N s =N−1∑i=1F 0 s = ∫ ∆t0τ ′F N−is f i s + F 0 sf N s (30)∆t F s (∆t − τ ′ ) dτ (31)F N−is =∫ ∆t+τ ′0∫ ∆t0∆t F s ((N − i + 1)∆t − τ ′ ) dτ ′(1 − τ ′ )F s ((N − i)∆t − τ ′ ) dτ ′ (32)∆tLMSSMat Hybrid method for the computation of dynamic soil-structure interaction in the time domain - p. 36/44