12.07.2015 Views

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

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

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FE-BE couplingRetrospective frequency domain analysisIntroduction<strong>Hybrid</strong> <strong>method</strong>Time Domain BEMFE-BE• FE model• Substructuring• FE equation• Implementation• Response• VerificationConclusionsThe proposed <strong>method</strong>ology is based on an approximation. The error induced by thisapproximation is assumed to be limited:■ The frequency content <strong>of</strong> <strong>the</strong> incident wave field is limited to frequencies up to30 Hz.■ A retrospective frequency domain analysis can be per<strong>for</strong>med: <strong>the</strong> relationshipˆα s (ω) = ˆF s (ω)ˆf s (ω)in <strong>the</strong> frequency domain is applied to verify <strong>the</strong> displacements on <strong>the</strong> modalcoordinates ˆα s (ω) based on calculated interaction <strong>for</strong>ces ˆf s (ω).■ The <strong>method</strong> should be applied cautiously. A visual inspection <strong>of</strong> <strong>the</strong> least-squaresapproximations <strong>of</strong> <strong>the</strong> <strong>dynamic</strong> <strong>soil</strong> flexibility is advised.LMSSMat <strong>Hybrid</strong> <strong>method</strong> <strong>for</strong> <strong>the</strong> <strong>computation</strong> <strong>of</strong> <strong>dynamic</strong> <strong>soil</strong>-<strong>structure</strong> interaction in <strong>the</strong> time domain - p. 42/44

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