Mathematical Model for Soil-Structure-Interaction in inverted pendulum type structures

Abstract

Considering that mass rotational inertia in a structure with an inverted pendulum shape increases period of vibration of structure. Such increase depends on location of mass center, on relation of considered mass inertia, on relation of rigidity between structure and foundation, and on relation of system stiffness. In this work expressions that allow to identify importance of such parameters are proposed, for cases in which the oscillator is supported on hard soil or soft soil. It is defined the magnitude error that occurs when not considering mass rotational inertia in calculation for period is defined.