Simulation of a Basal Solicitation, Generated From Sawtooth Function and Its Evolution Over the Structure

Abstract eng:
To date, earthquakes have been represented trough functions based on random vibrations without representative results of the phenomena. To that purpose, a mathematical procedure is proposed, which is the result of a series of “sawtooth” functions that allows to simulate any given earthquake ground acceleration record that represents the phenomena, and allows us to determine and modify the characteristic parameters and evaluate future events. On the other hand, the displacements and ground acceleration are spread through the structure from the ground to the top, generating displacements and accelerations in the intermediate levels. This is, if the structure stiffness were infinite, the acceleration on top would be de same as the bottom, but considering a different stiffness, the acceleration on any upper floor is affected. All this makes it necessary to consider, the variations of the ground acceleration and stiffness, through the ground to the top in the dynamic motion equilibrium equations.

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