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Analysis of the rocking response of rigid blocks standing free on a seismically isolated base

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TLDR
In this paper, the authors examined the rocking response and stability of rigid blocks standing free on an isolated base supported by linear viscoelastic bearings, single concave and double concave spherical sliding bearings.
Abstract
SUMMARY This paper examines the rocking response and stability of rigid blocks standing free on an isolated base supported: (a) on linear viscoelastic bearings, (b) on single concave and (c) on double concave spherical sliding bearings. The investigation concludes that seismic isolation is beneficial to improve the stability only of small blocks. This happens because while seismic isolation increase the ‘static’ value of the minimum overturning acceleration, this value remains nearly constant as we move to larger blocks or higher frequency pulses; therefore, seismic isolation removes appreciably from the dynamics of rocking blocks the beneficial property of increasing stability as their size increases or as the excitation pulse period decreases. This remarkable result suggests that free- standing ancient classical columns exhibit superior stability as they are built (standing free on a rigid foundation) rather than if they were seismically isolated even with isolation system with long isolation periods. The study further confirms this finding by examining the seismic response of the columns from the peristyle of two ancient Greek temples when subjected to historic records. Copyright © 2011 John Wiley & Sons, Ltd.

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Planar rocking response and stability analysis of an array of free-standing columns capped with a freely supported rigid beam

TL;DR: In this paper, the authors investigated the planar rocking response of an array of free-standing columns capped with a freely supported rigid beam in an effort to explain the appreciable seismic stability of ancient freestanding columns that support heavy epistyles together with the even heavier frieze atop, concluding that top-heavy rocking frames are more stable than when they are top light.
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Overturning of Retrofitted Rocking Structures under Pulse-Type Excitations

TL;DR: In this paper, the authors investigated the use of viscous damping to limit the rocking motion by characterizing the fundamental behavior of damped rocking structures through analytical modeling, and a single rocking block analytical model was used to determine the viscous damped damping characteristics, which exploited the beneficial aspects of the rolling motion, while dissipating energy and preventing overturning collapse.
Journal ArticleDOI

A finite element model for seismic response analysis of deformable rocking frames

TL;DR: In this paper, a finite element model to analyze the seismic response of deformable bodies and structures is presented, which comprises a set of beam elements to represent the rocking body and zero-length fiber cross-section elements at the ends of the rocking surfaces.
Journal ArticleDOI

An analytical model of a deformable cantilever structure rocking on a rigid surface: development and verification

TL;DR: In this article, the authors extended previously developed models to account for the influence of the column and the foundation masses on the behavior of top-heavy deformable elastic cantilever columns rocking on a rigid support surface.
Journal ArticleDOI

Is rocking motion predictable

TL;DR: In this paper, a statistical comparison of the experimental and numerical responses of a rigid rocking oscillator not to a specific ground motion, but to ensembles of ground motions that have the same statistical properties, is presented.
References
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Journal ArticleDOI

The behavior of inverted pendulum structures during earthquakes

TL;DR: In this article, an analysis is made of the rocking motion of structures of inverted pendulum type during the Chilean earthquakes of May, 1960, and it is shown that there is a scale effect which makes tall slender structures more stable against overturning than might have been expected.
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A Mathematical Representation of Near-Fault Ground Motions

TL;DR: In this paper, a simple, yet effective, analytical model is proposed for the representation of near-field strong ground motions, which can be used to analyze empirical observations that are based on available near-source records.
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Near‐source ground motion and its effects on flexible buildings

TL;DR: In this article, the authors simulated a Mw7.0 earthquake on a blind-thrust fault and found that flexible frame and base-isolated buildings would experience severe nonlinear behavior including the possibility of collapse at some locations.
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Rocking response of rigid blocks to earthquakes

TL;DR: In this paper, a numerical procedure and computer program are developed to solve the non-linear equations of motion governing the rocking motion of rigid blocks on a rigid base subjected to horizontal and vertical ground motion.
Journal ArticleDOI

Rocking Response of Free-Standing Blocks under Cycloidal Pulses

TL;DR: In this article, the authors examined the transient rocking response of free-standing rigid blocks subjected to physically realizable trigonometric pulses and derived the expressions for the dynamic horizontal and vertical reactions at the pivot point of a rocking block and showed that the coefficient of friction needed to sustain pure rocking motion is an increasing function of the acceleration level of the pulse.
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