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 couplingFinite element equationIntroduction<strong>Hybrid</strong> <strong>method</strong>Time Domain BEM[ ] {M b1 b 1M b1 b 2M b2 b 1M b2 b 2}ü b1 (t)ü b2 (t)+{ }f intb 1(t)f intb 2(t)={ }f extb 1(t)f extb 2(t)−{ }0Q b2(t)FE-BE• FE model• Substructuring• FE equation• Implementation• Response• VerificationConclusionsInterface modes are used:u b2 = Φα s (27)α s = (Φ T Φ) −1 Φ T u b2 = T u u b2 (28)Q b2= Φ(Φ T Φ) −1 f s = T q f s (29)Mode 6 Mode 9 Mode 15LMSSMat <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. 34/44

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