Normalized Residual Displacements for Bilinear and Pinching Oscillators
Publication: Journal of Structural Engineering
Volume 146, Issue 11
Abstract
A correct estimation of residual displacements due to an earthquake event is crucial in satisfying the limit state of repairability after the event and for assessing the safety of structures against future earthquake events. An attempt is made in this study to obtain the statistical estimates of constant-ductility residual displacement spectra, for bilinear and pinching oscillators with 5% initial damping, in terms of the 5%-damping elastic displacement spectrum. The normalized residual displacement spectra (at the mean level and 0.1- and 0.9-fractile levels) are described as three-coefficient and four-coefficient mathematical functions for pinching and bilinear models, respectively. The coefficients of these functions are proposed to be estimated through scaling equations in terms of three model parameters for a given set of the ductility ratio and hysteretic energy capacity coefficient in the case of a bilinear model and for a given set of the pinching parameters, ductility ratio, and hysteretic energy capacity coefficient in the case of a pinching model.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request. These include all the simulated records.
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Published In
Journal of Structural Engineering
Volume 146 • Issue 11 • November 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Oct 7, 2019
Accepted: May 29, 2020
Published online: Aug 22, 2020
Published in print: Nov 1, 2020
Discussion open until: Jan 22, 2021
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