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Journal ArticleDOI

Random vibration of hysteretic systems under bi-directional ground motions

TLDR
In this paper, a random vibration method is developed for the response analysis of hysteretic structural systems under stochastic two-dimensional earthquake excitations, where the biaxial restoring force is modelled by coupled nonlinear differential equations; the response statistics are obtained using the equivalent linearization technique.
Abstract
A random vibration method is developed for the response analysis of hysteretic structural systems under stochastic two-dimensional earthquake excitations. The biaxial hysteretic restoring force is modelled by coupled non-linear differential equations; the response statistics are obtained using the equivalent linearization technique. The validity of the proposed model is appraised using available biaxial loading tests of reinforced concrete columns. A parametric study was performed to examine the significance of the effects of biaxial interaction under earthquake excitations. A practical method to evaluate the extreme response statistics is also presented.

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Citations
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Journal ArticleDOI

The Hysteresis Bouc-Wen Model, a Survey

TL;DR: A review of the past, recent developments and implementations of the Bouc-Wen model which is used extensively in modeling the hysteresis phenomenon in the dynamically excited nonlinear structures can be found in this paper.
Journal ArticleDOI

Teflon Bearings in Base Isolation II: Modeling

TL;DR: In this article, a mathematical model of the factional behavior of Teflon sliding bearings for conditions of interest in base isolation is developed and the calibration of the model is based on extensive experimental data that were presented in an accompanying paper.
Book

Systems with Hysteresis: Analysis, Identification and Control Using the Bouc-Wen Model

TL;DR: In this article, the authors present a formal analysis of the BIBO stability of the Bouc-Wen model in the limit case n = 1 2.5.1 The limit case (r) = 0 2.3.1 Numerical simulations 5.2.
Journal ArticleDOI

Smart base‐isolated benchmark building. Part I: problem definition

TL;DR: In this paper, the authors present the benchmark problem definition for seismically excited base-isolated buildings and provide a well-defined base isolated building with a broad set of carefully chosen parameter sets, performance measures and guidelines to the participants, so that they can evaluate their control algorithms.
Journal ArticleDOI

Nonlinear Dynamic Analysis of 3‐D‐Base‐Isolated Structures

TL;DR: In this paper, an analytical model and a solution algorithm are developed for nonlinear dynamic analysis of three-dimensional base-isolated structures with elastomeric and/or sliding isolation systems.
References
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Journal ArticleDOI

Mechanistic Seismic Damage Model for Reinforced Concrete

TL;DR: In this paper, a model for evaluating structural damage in reinforced concrete structures under earthquake ground motions is proposed, where damage is expressed as a linear function of the maximum deformation and the effect of repeated cyclic loading.
Book ChapterDOI

Seismic Damage Analysis of Reinforced Concrete Buildings

TL;DR: In this article, the authors consider the vulnerability of reinforced concrete buildings to strong ground shakings and present a quantitative analysis of structural damage under random earthquake excitations, based on qualitative engineering judgment.
Journal ArticleDOI

Stochastic linearization of multi-degree-of-freedom non-linear systems

TL;DR: In this paper, an equivalent linearization technique to obtain the response of non-linear multi-degree-of-freedom dynamic systems to stationary gaussian excitations is developed, where the nonlinearities are assumed to be single-valued functions of accelerations, velocities and displacements.
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