simple expression of the dynamic stiffness of grouped piles
simple expression of the dynamic stiffness of grouped piles
simple expression of the dynamic stiffness of grouped piles
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28SIMPLE EXPRESSIONS OF THE DYNAMIC STIFFNESS OF GROUPED PILESnon-dimensional <strong>stiffness</strong>, k xx/(µL 0)15105real partn p=4, d=0.5m, L=20mequivalent beam (TLEM)equation (28)imaginary partL 0/L = 0.10s/d = 4.19D = 0.0500.0 0.5 1.0 1.5non-dimensional frequency, ω R 0 /v TFigure 2.8c Variation <strong>of</strong> <strong>stiffness</strong> for sway motion <strong>of</strong> pile cap(µ = 1875 tf/m 2 , v T= 103.5 m/s)n p=4, d=0.5m, L=10m, µ = 30000 tf/m 2 (v T= 414 m/s)non-dimensional <strong>stiffness</strong>, k xx/µ L 02015105equivalent beam (TLEM)equation (28)real partimaginary partD= 0.10s/d= 4.1900 1 2 3non-dimensional frequency, ω R 0/v TFigure 2.8d Variation <strong>of</strong> <strong>stiffness</strong> for sway motion <strong>of</strong> pile cap(L 0/L = 0.10)