Hybrid method for the computation of dynamic soil-structure ...
Hybrid method for the computation of dynamic soil-structure ...
Hybrid method for the computation of dynamic soil-structure ...
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<strong>Hybrid</strong> domain <strong>method</strong>Alternative 1: Gauss windowing techniqueIntroduction<strong>Hybrid</strong> <strong>method</strong>Time Domain BEMFE-BEConclusionsGauss window [−]10.80.60.40.200 0.1 0.2 0.3 0.4 0.5Frequency [−]Gauss window [−]0.250.20.150.10.050−10 −5 0 5 10Time [−]g(ω) = exp −σ 2 ω 2g(t) = 12σ √ π exp(− t4σ ) 2■ The flexibility is multiplied with <strong>the</strong> Gauss window.■ Problem: entire frequency domain influenced → large frequency range required.Alternative 2:Properly account <strong>for</strong> <strong>the</strong> asymptotic behaviour <strong>of</strong> <strong>the</strong> <strong>soil</strong> flexibility in <strong>the</strong> frequencydomain.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. 11/44
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