APPENDIX A SDOF Acceleration Response The acceleration response of a single-degree-of-freedom system to a base input GRMS x power spectral density is (A-1) where is the natural frequency is the base input acceleration power spectral density The corresponding relative displacement is (A-2) Equation (A-1) allows for a shaped base input power spectral density, defined over a finite frequency domain. It is thus less restrictive than the equation. Equation (A-1) is derived Miles’ in Reference 13. Note that equation (A-1) is the usual method for the vibration response spectrum calculation, where the natural frequency is an independent variable.
APPENDIX A SDOF Acceleration Response The acceleration response x GRMS of a single-degree-of-freedom system to a base input power spectral density is (A-1) where is the natural frequency is the base input acceleration power spectral density The corresponding relative displacement is (A-2) Equation (A-1) allows for a shaped base input power spectral density, defined over a finite frequency domain. It is thus less restrictive than the Miles’ equation. Equation (A-1) is derived in Reference 13. Note that equation (A-1) is the usual method for the vibration response spectrum calculation, where the natural frequency is an independent variable.
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