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Journal ArticleDOI

Method for Random Vibration of Hysteretic Systems

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TLDR
In this paper, a new method of modeling and solution of a large class of hysteretic systems (softening or hardening, narrow or wideband) under random excitation is proposed.
Abstract
Based on a Markov-vector formulation and a Galerkin solution procedure, a new method of modeling and solution of a large class of hysteretic systems (softening or hardening, narrow or wide-band) under random excitation is proposed. The excitation is modeled as a filtered Gaussian shot noise allowing one to take the nonstationarity and spectral content of the excitation into consideration. The solutions include time histories of joint density, moments of all order, and threshold crossing rate; for the stationary case, autocorrelation, spectral density, and first passage time probability are also obtained. Comparison of results of numerical example with Monte-Carlo solutions indicates that the proposed method is a powerful and efficient tool.

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Journal ArticleDOI

Phenomenological model for magnetorheological dampers

TL;DR: In this article, a model for controllable fluid dampers is proposed that can effectively portray the behavior of a typical magnetorheological (MR) damper and compared with experimental results for a prototype damper.
Journal ArticleDOI

Estimation of Small Failure Probabilities in High Dimensions by Subset Simulation

TL;DR: In this article, a set simulation approach is proposed to compute small failure probabilities encountered in reliability analysis of engineering systems, which can be expressed as a product of larger conditional failure probabilities by introducing intermediate failure events.
Journal ArticleDOI

Modeling and Control of Magnetorheological Dampers for Seismic Response Reduction

TL;DR: In this paper, a clipped-optimal control strategy based on acceleration feedback for controlling magnetorheological dampers is proposed to reduce structural responses due to seismic loads, and a numerical example, employing a newly developed model that accurately portrays the salient characteristics of the MR dampers, is presented to illustrate the effectiveness of the approach.
Journal ArticleDOI

Hysteretic models that incorporate strength and stiffness deterioration

TL;DR: In this paper, three basic hysteretic models used in seismic demand evaluation are modified to include deterioration properties: bilinear, peak-oriented, and pinching, and the models incorporate an energy-based deterioration parameter that controls four cyclic deterioration modes: basic strength, postcapping strength, unloading stiffness, and accelerated reloading stiffness deterioration.
Journal ArticleDOI

Past, present and future of nonlinear system identification in structural dynamics

TL;DR: In this article, a review of the past and recent developments in system identification of nonlinear dynamical structures is presented, highlighting their assets and limitations and identifying future directions in this research area.
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