Dynamic Performance of Time-Domain Piecewise Linear Stiffness System
Publication: Journal of Engineering Mechanics
Volume 147, Issue 7
Abstract
This paper studies the dynamic performance of two kinds of time-domain piecewise linear stiffness systems, a piecewise positive-stiffness system (PPS) and a piecewise negative-stiffness system (PNS). The PPS is formulated by involving a positive-stiffness spring in the drifting stage of structural motion, whereas the PNS is formulated by introducing a negative-stiffness spring in the recentering stage of structural motion. To investigate the performance of the piecewise stiffness systems (PSSs), some fundamental analyses are conducted on the PPS and PNS compared with their respective continuous positive-stiffness system (CPS) and continuous negative-stiffness system (CNS), which have demonstrated the superior performance of the PPS over the continuous stiffness systems (CSSs). A PSS shows additional damping effect on the resonance responses and maintains part of the stiffness property compared with a CSS. Second, for the convenience of performance evaluation, the equivalent linearization of the PSS is studied to determine the equivalent stiffness and the equivalent damping of the equivalent linear system (ELS) of the PSS. The equivalent stiffness is derived after obtaining the equivalent period of the PSS, and the equivalent damping is obtained based on the equivalent energy in one cycle of steady-state harmonic vibration. Third, the accuracy of the ELS is analyzed by comparing the resonance frequency ratio and the resonance response ratio. Finally, the displacement reduction effect of the PSS is investigated under excitations from different soil conditions to consider the influence of the frequency of excitations.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This work was supported in part by the National Key R&D Program of China No. 2017YFC0703600 and the National Natural Science Foundation of China No. 51678116.
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Published In
Journal of Engineering Mechanics
Volume 147 • Issue 7 • July 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Oct 19, 2020
Accepted: Feb 1, 2021
Published online: May 6, 2021
Published in print: Jul 1, 2021
Discussion open until: Oct 6, 2021
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