Generalized Bouc–Wen Model for Highly Asymmetric Hysteresis
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Volume 132, Issue 6
Abstract
Bouc–Wen class models have been widely used to efficiently describe smooth hysteretic behavior in time history and random vibration analyses. This paper proposes a generalized Bouc–Wen model with sufficient flexibility in shape control to describe highly asymmetric hysteresis loops. Also introduced is a mathematical relation between the shape-control parameters and the slopes of the hysteresis loops, so that the model parameters can be identified systematically in conjunction with available parameter identification methods. For use in nonlinear random vibration analysis by the equivalent linearization method, closed-form expressions are derived for the coefficients of the equivalent linear system in terms of the second moments of the response quantities. As an example application, the proposed model is successfully fitted to the highly asymmetric hysteresis loops obtained in laboratory experiments for flexible connectors used in electrical substations. The model is then employed to investigate the effect of dynamic interaction between interconnected electrical substation equipment by nonlinear time-history and random vibration analyses.
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Acknowledgments
This paper is based on research supported by the Lifelines Program of the Pacific Earthquake Engineering Research Center funded by the Pacific Gas & Electric Co. and the California Energy Commission. Partial support was also provided by the Earthquake Engineering Research Centers Program of the National Science Foundation (Award No. NSFEEC-9701568) and by the Taisei Chair in Civil Engineering. This support is gratefully acknowledged.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 6 • June 2006
Pages: 610 - 618
Copyright
© 2006 ASCE.
History
Received: Oct 5, 2004
Accepted: May 2, 2005
Published online: Jun 1, 2006
Published in print: Jun 2006
Notes
Note. Associate Editor: Arvid Naess
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