Statistical Linearization of Hysteretic Systems Described by the Ramberg-Osgood Model
Publication: Journal of Engineering Mechanics
Volume 142, Issue 9
Abstract
In this paper, a statistical linearization method based on Rayleigh distribution is proposed for hysteretic systems described by the Ramberg-Osgood model. The method is based on the assumption that a set of hysteresis loops can be determined either from an analytical model or by laboratory experiments for imposed harmonic motion with different amplitudes, viewed as deviates from a Rayleigh distribution. A set of equivalent linear stiffness and damping coefficients, dependent on the distribution parameter, are assessed as functions of imposed motion amplitudes. Both the dissipated energy and stored elastic energy per cycle are determined using an accurate and simple analytical approximation of secant modulus, developed in the paper. The proposed method is applied for statistical linearization of a single-degree-of-freedom system equipped by hysteretic bracing devices with restrained buckling. The method is validated through numerical simulation of the output of the hysteretic and equivalent linear systems excited by band-limited and filtered Gaussian white noise.
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Acknowledgments
The authors would like to express their gratitude to the Executive Agency for Higher Education, Research, Development and Innovation Funding of the Romanian Ministry of Education and Scientific Research for supporting this work through the Research Grant no. 112 /2014.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 9 • September 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Oct 6, 2015
Accepted: Mar 28, 2016
Published online: May 20, 2016
Published in print: Sep 1, 2016
Discussion open until: Oct 20, 2016
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