Author(s)

C. A. Arredondo Vélez, E. Reinoso Angulo & E. Miranda

Abstract

The behavior of rigid bodies with different shape ratios, located in some levels of buildings of the valley of Mexico and Acapulco, subjected to events of near and distant sources is modeled step by step. A fast estimation of the movement in the base of the content in a floor level of the building comes through a simplified model whose accuracy was proven in a parallel work to this (Arredondo et al [1 ]). Maps for toppling of contents appear as well as expressions to determine the amplification of the movement in a story of the building. Keywords: accelerations demands, multistory buildings, earthquakes, dynamics, nonlinearity, rocking, slide, rigid body, seismic response, impact problem. 1 Introduction The control of losses for damage in contents is important because in most of industrial buildings, stores and offices, it represent most of the total cost of the investment. Also the damage in the contents is associated to forces and smaller levels of deformation that those required to begin the structural damage. In this work, the response of rigid bodies located in different stories of buildings that are in several sites of Mexico City and Acapulco, is modeled. For this, we estimate the movement in different levels of a building subjected to earthquakes and the value of the amplification of the peak ground acceleration with the height, through a simplified model of the structure whose validity was proven so much in instrumented buildings in Mexico City like United States [1, 2, 3, 4 ]. A numerical solution is used to solve the nonlinear equations of the dynamic behavior of a rectangular rigid body subjected to movements in its base, considering the energy loss every time that the impact with the support surface happens. Previous works have studied the linear case associated to slender

Keywords

accelerations demands, multistory buildings, earthquakes, dynamics, nonlinearity, rocking, slide, rigid body, seismic response, impact problem.