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J P Wolf and J W Meek
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amplification amplitude analysis ASCE assessment base isolation behavior bridge Building Code building systems California Civil Engineering coefficient column components computed concrete criteria curves damage damping ratio Densification density depth developed distribution ductility dynamic Earthquake Engineering effects elastic elements equations estimated evaluation facilities factor failure fault force foundation frame function Geotechnical Geotechnical Engineering ground displacement ground motion horizontal in-plane included increase infill input motion landslides layer liquefaction liquefied soil load located Loma Prieta earthquake magnitude maximum method natural frequencies NEHRP Provisions nonlinear parameters peak ground acceleration period pile pipe potential probabilistic probability procedure region relative density Research resistance response spectrum retrofit rigid risk rocking sand seismic design seismic hazard seismic retrofitting shaking shear modulus shown in Figure soil liquefaction soil-structure interaction spectral stiffness stress structure surface Table tanks U.S. Geological Survey values velocity vertical vibration walls water pressure