E0-190-2008_(6)Chapter_4

# For the calculation of the foundation input motion we

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Unformatted text preview: unction". For the calculation of the foundation input motion, we also assume the massless foundation which is subjected to an earthquake disturbance. The equation of motion for this foundation can be written as: (12) and, (13) Comparing Eq.(13) : (13) with Eq.(5) of the definition of the foundation input motion, (5) you can easily understand that uf equals to the "Foundation Input Motion ue". When you want to calculate the dynamic impedance function and the foundation input motion, you may assume the massless foundation. Calculating the displacement of the foundation due to a unit force, the inverse of the displacement equals to the dynamic impedance function. Calculating the displacement of the foundation due to an earthquake disturbance, this displacement is just the foundation input motion. In frequency domain analysis, the applied unit force must be 1eiωt for the calculation of the dynamic impedance function, Uf eiωt P=1eiωt and the earthquake disturbance must be the response obtained by frequency response analysis of the free field soil for the calculation of the...
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