E0-190-2008_(6)Chapter_4

# 8 equals an equation of motion for a single degree of

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Unformatted text preview: n equation of motion for a single degree of freedom system shown in the figure, which consists of a mass m, a spring K and an input disturbance ue. K and ue are called "Dynamic Impedance Function" and "Foundation Input Motion". You can understand easily the physical meaning of the dynamic impedance function and the foundation input motion. Second, we consider how to calculate the dynamic impedance function and the foundation Input Motion. Assuming a rigid massless buried foundation before an earthquake, that is: (9) When this system is subject to an unit lateral force, the conditions of Eq.(9) are substituted into Eq.(1): (1) then, we obtain Eq.(10): note: the external force term becomes the unite. (10) and, (11) Comparing definition of the dynamic impedance function (Eq.(3)): K = K S + Kb (3) with Eq.(11): (11) We can understand that the inverse of displacement uf coincides with the "Dynamic Impedance F...
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