Effect on Probabilistic Ductility Demand and Cumulative Dissipated Energy of Hysteretic System under Bidirectional Seismic Excitations
Publication: Journal of Engineering Mechanics
Volume 141, Issue 4
Abstract
This study quantitatively investigates the influences of the effect on the statistics of ductility demand and cumulative dissipated energy of a hysteretic system under bidirectional seismic excitations. An improved biaxial Bouc-Wen model incorporating the effect as well as the strength and stiffness degradations was used to represent the hysteretic behavior of an inelastic two-degrees-of-freedom (2DOF) system. The influences of both the strength/stiffness degradation and the effect on the statistics of the ductility demand and cumulative dissipated energy of the hysteretic 2DOF system were quantitatively investigated using a series of strong ground motion records. Based on the numerical results, the preferred empirical probability distribution types and prediction equations for the ductility demand and normalized cumulative dissipated energy of the hysteretic 2DOF system including the effect and under bidirectional seismic excitations were recommended, while the potential statistical correlation between the ductility demand and commonly used seismic parameters were also discussed. The analyses show that the strength/stiffness degradation and effect can significantly impact the probabilistic characteristics of the ductility demand and cumulative dissipated energy of a hysteretic system under bidirectional seismic excitations, especially for a system with a short natural vibration period and/or small yield strength. The ductility demand of an inelastic 2DOF system under bidirectional excitations can be approximated by the square root of the sum of squares of the ductility demands of a single-degree-of-freedom (SDOF) system under unidirectional excitation, while the normalized cumulative dissipated energy of a 2DOF system can be expressed as the approximate sum of the normalized cumulative dissipated energies of the SDOF system.
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Acknowledgments
B.O. gratefully acknowledges Professor H. P. Hong at The University of Western Ontario for his collaboration on developing the methodology described herein. The financial support received from the National Natural Science Foundation of China (51168003, 51368006), Major Project of Guangxi Natural Science Foundation (2012GXNSFEA053002), Program for Distinguished Scholars and High-Level Innovative Research Team of Guangxi Higher Education (GJR-2013-38), Guangxi Natural Science Foundation (2013GXNSFBA019237), and Research Program of Science and Technology of Guangxi Higher Education (2013YB009) is gratefully acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 4 • April 2015
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© 2014 American Society of Civil Engineers.
History
Received: May 7, 2013
Accepted: Aug 11, 2014
Published online: Sep 10, 2014
Published in print: Apr 1, 2015
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