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>Discretisation in timeIntroduction<strong>Hybrid</strong> <strong>method</strong>Time Domain BEMFE-BEConclusions■ Linear temporal variation <strong>of</strong> <strong>the</strong> <strong>soil</strong>-<strong>structure</strong> interaction <strong>for</strong>ces f s (t):■ Instantaneous <strong>soil</strong> flexibility:u N =N−1∑i=1F N−i f i s + F0 f N s (17)F 0 =■ Remaining influence matrices:∫ ∆t0τ ′∆t F(∆t − τ ′ ) dτ (18)F N−i =∫ ∆tτ ′+0∫ ∆t0∆t F ((N − i + 1)∆t − τ ′ ) dτ ′(1 − τ ′ )F ((N − i)∆t − τ ′ ) dτ ′ (19)∆tLMSSMat <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. 16/44