APPENDIX F SDOF Response to a PSD Base Input Variables = Relative displacement PSD = Response pseudo velocity PSD = Response acceleration PSD = Base input acceleration PSD f = Excitation frequency fn = Natural frequency = Viscous damping ratio Note that the amplification factor Q is related to the damping ratio as (F-1) Relative Displacement The relative displacement is (F-2) Pseudo Velocity The pseudo velocity is (F-3) Acceleration The response acceleration is
APPENDIX F SDOF Response to a PSD Base Input Variables = Relative displacement PSD = Response pseudo velocity PSD = Response acceleration PSD = Base input acceleration PSD f = Excitation frequency fn = Natural frequency = Viscous damping ratio Note that the amplification factor Q is related to the damping ratio as (F-1) Relative Displacement The relative displacement is (F-2) Pseudo Velocity The pseudo velocity is (F-3) Acceleration The response acceleration is
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