Probabilistic Models for Residual and Peak Transient Tilt of Mat-Founded Structures on Liquefiable Soils
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 145, Issue 2
Abstract
This paper presents probabilistic models for predicting the residual and peak transient tilt of mat-founded structures on liquefiable ground. First, the study presents a completely empirical model based on correlating residual tilt to settlement in case histories. Second, a semiempirical model for residual tilt is developed based on an extensive numerical parametric study of soil–foundation–structure systems in 3D with more than 63,000 simulations, centrifuge tests performed by several researchers, and case history observations from several earthquakes. The model of peak transient tilt is based on centrifuge tests. The uncertainty around the estimates of each model is described using log-normal distributions, and all necessary correlation coefficients are calculated. The proposed procedure is the first methodology for estimating the seismically induced residual tilt of such structures that is not derived solely from settlement models on two sides of the foundation with different soil profiles. It therefore accounts for the influence of complex phenomena (e.g., soil–structure interaction, asymmetric loading, interlayering, and ejecta) that mechanistically affect tilt and settlement differently. The models consider various properties of the soil profile, foundation, and structure, and also characterize total uncertainty. These models constitute a fundamental component of a performance-based approach that could be combined with vulnerability functions in the future to evaluate liquefaction risks in terms of losses associated with tilt of structures.
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Acknowledgments
Support for this research was provided partly by the US Department of Education under award number P200A150042, partly by the US National Science Foundation (NSF) through Grant number 145431, and partly by the Department of Civil, Environmental and Architectural Engineering and the University of Colorado Boulder (CU). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the funding organizations. The numerical simulations utilized the Janus supercomputer, which is supported by NSF (Award number CNS-0821794) and CU. The Janus supercomputer is a joint effort of the CU Boulder, CU Denver, and the National Center for Atmospheric Research.
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Journal of Geotechnical and Geoenvironmental Engineering
Volume 145 • Issue 2 • February 2019
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©2018 American Society of Civil Engineers.
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Received: Jan 24, 2018
Accepted: Jul 26, 2018
Published online: Dec 14, 2018
Published in print: Feb 1, 2019
Discussion open until: May 14, 2019
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