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Periodic response of a sliding oscillator system to harmonic excitation

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TLDR
In this paper, the periodic response of an oscillating system supported on a frictional interface was studied and the most fundamental periodic solutions were derived analytically and numerically, and it was shown that such a system has several subharmonic resonant frequencies and that while the friction reduces the peak response of the system when it is excited at its "fixed-base" natural frequency, w, the sliding can induce considerably higher levels of response, when compared with those of a non-sliding, fixed-base system, for frequencies less than w,.
Abstract
SUMMARY This paper deals with the periodic response of an oscillating system which is supported on a frictional interface. The base excitation is assumed harmonic and the frictional force is assumed to be of the Coulomb type. Though each segment of the motion of such a system is described by linear equations, its complete response is highly non-linear and varied. The most fundamental periodic solutions are derived analytically and numerically. The results indicate that such a system has several subharmonic resonant frequencies and that while the friction reduces the peak response of the system when it is excited at its ‘fixed-base’ natural frequency, w,, the sliding can induce considerably higher levels of response, when compared with those of a non-sliding, fixed-base system, for frequencies less than w,. The results obtained herein may find application in the area of vibration isolation.

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Aseismic base isolation: review and bibliography

TL;DR: A review of the literature on theoretical aspects of seismic isolation, describes testing programmes and enumerates those isolation systems which have been used in buildings completed or under construction can be found in this paper.
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Modified newmark model for seismic displacements of compliant slopes

TL;DR: In this article, a modified Newmark analysis that considers the dynamic response, including the effects of permanent displacements, of the material above the failure surface, is presented, which shows that the decoupled approach produces somewhat conservative estimates of permanent displacement for stiff and/or shallow failure masses, but that it may produce unconservative estimates for failure masses that are soft or deep.

Seismic behavior of isolated bridges: A-state-of-the-art review

TL;DR: In this paper, an update state-of-the-art review of the behaviour of isolated bridges to seismic excitation is presented, which includes the literature on theoretical aspects of seismic isolation, parametric behaviour of base-isolated bridges and experimental studies to verify some of the theoretical findings.
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An examination of simplified earthquake-induced displacement procedures for earth structures

TL;DR: A critical examination of the procedures commonly used to estimate earthquake-induced sliding displacements of earth structures is essential due to their widespread use and application to new types of earthquakes as discussed by the authors.
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Friction Damping and Isolation Systems

TL;DR: A survey of the literature on the use of dry friction in passive damping and vibration isolation can be found in this article, where several analytical techniques are presented followed by applications from various areas.
References
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Journal ArticleDOI

Response of a base excited system with Coulomb and viscous friction

TL;DR: In this article, the response of a single degree of freedom spring-mass system with viscous and Coulomb friction, with harmonic base excitation, was determined, and closed form analytical solutions of the equation of motion were found for two cases: (a) continuous motion of the mass and (b) motion of mass with two stops per cycle.
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Analysis of a Nonlinear First‐Order System with a White Noise Input

TL;DR: In this paper, a general technique for computing the power spectrum of nonlinear systems is presented, and the method is applied to the Brownian motion of a particle with idealized Coulomb damping.
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Natural Rubber Foundation Bearings for Earthquake Protection—Experimental Results

TL;DR: In this paper, the authors showed the predicted response of a five-story shear-wall structure to an earthquake having a peak ground acceleration of 0.3 g. The results were later confirmed further by using a time-history analysis.
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