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

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Asymptotic expansion <strong>for</strong> ω → ∞<strong>Hybrid</strong> domain <strong>method</strong>Introduction<strong>Hybrid</strong> <strong>method</strong>Time Domain BEMFE-BEConclusions■ For <strong>the</strong> foundation under consideration, this is integrated:F HH ∼F V V ∼F RR ∼ 112F T T ∼ 8 3d2iωρC s(13)d2iωρC p(14)d 4iωρC p(15)d 4iωρC p(16)■ Similar results apply <strong>for</strong> a layered halfspace, if material damping is present. In thiscase, <strong>the</strong> wave velocities are rendered complex.■ For an embedded foundation, <strong>the</strong> 1D wave propagation is in <strong>the</strong> direction <strong>of</strong> <strong>the</strong>normal on <strong>the</strong> interface.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. 14/44

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