Technical Papers
Jun 23, 2020

Comparison Metrics for Time-Histories: Application to Bridge Aerodynamics

Publication: Journal of Engineering Mechanics
Volume 146, Issue 9

Abstract

Wind effects can be critical for the design of lifelines, such as long-span bridges. The existence of a significant number of aerodynamic force models, used to assess the performance of bridges, poses an important question regarding their comparison and validation. This study utilizes a unified set of metrics for a quantitative comparison of time-histories in bridge aerodynamics with a host of characteristics. Accordingly, nine comparison metrics are included to quantify the discrepancies in local and global signal features, such as phase, time-varying frequency and magnitude content, probability density, nonstationarity, and nonlinearity. Among these, seven metrics available in the literature are introduced after recasting them for time-histories associated with bridge aerodynamics. Two additional metrics are established to overcome the shortcomings of the existing metrics. The performance of the comparison metrics is first assessed using generic signals with prescribed signal features. Subsequently, the metrics are applied to a practical example from bridge aerodynamics to quantify the discrepancies in the aerodynamic forces and response based on numerical and semianalytical aerodynamic models. In this context, it is demonstrated how a discussion based on the set of comparison metrics presented in this study can aid a model evaluation by offering deeper insight. The outcome of the study is intended to provide a framework for quantitative comparison and validation of aerodynamic models based on the underlying physics of fluid-structure interaction. Immediate further applications are expected for the comparison of time-histories that are simulated by data-driven approaches.

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Data Availability Statement

Some or all data, models, or code generated or used during the study are available in a repository online in accordance with funder data retention policies. The Matlab code for the comparison metrics, including partial results, is available online: https://github.com/IgorKavrakov/CompMet. Some data, models, or code generated or used during the study are proprietary or confidential in nature and may only be provided with restrictions.

Acknowledgments

The first and third author gratefully acknowledge the support by the German Research Foundation (DFG) (Project Nos. 43475018 and 329120866) throughout the first author’s studies and research stay at the Department of Civil and Environmental Engineering and Earth Sciences at the University of Notre Dame, US. The second author acknowledges the support provided in part by NSF Grant No. 1562244.

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Journal of Engineering Mechanics
Volume 146Issue 9September 2020

History

Received: Feb 6, 2019
Accepted: Mar 9, 2020
Published online: Jun 23, 2020
Published in print: Sep 1, 2020
Discussion open until: Nov 23, 2020

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Research Associate, Chair of Modelling and Simulation of Structures, Bauhaus Univ. Weimar, Marienstr. 13, Weimar 99423, Germany (corresponding author). ORCID: https://orcid.org/0000-0003-4593-2293. Email: [email protected]
Ahsan Kareem, Dist.M.ASCE
Robert M. Morgan Professor, NatHaz Modeling Laboratory, Univ. of Notre Dame, 156 Fitzpatrick Hall, Notre Dame, IN 46556.
Guido Morgenthal
University Professor, Chair of Modelling and Simulation of Structures, Bauhaus Univ. Weimar, Marienstr. 13, Weimar 99423, Germany.

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