Behavior Of Rigid Bodies In Buildings
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.
Related Book
Other papers in this volume
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