Mode Shape Expansion for Lively Pedestrian Bridges through Kriging
Publication: Journal of Bridge Engineering
Volume 21, Issue 6
Abstract
This paper investigates the use of kriging as a powerful tool for mode shape interpolation in flexible pedestrian bridges. Kriging can be used to interpolate a set of sparse mode shape coordinates obtained through experimental modal identification techniques onto a dense structure geometry, leading to better mode shape visualization and efficient model updating. Kriging does not require a finite-element (FE) model (analytical modes) to be available a priori, as it is purely statistical in nature. Despite this key advantage, kriging has not been adopted for mode shape interpolation due in part to the relative lack of exposure within the modal analysis community and the arbitrariness of the parameter defining the spatial correlation between discrete geometry points. The first objective of this paper is to describe kriging in detail, especially focusing on pedestrian bridges. Second, modifications to the computational procedure for kriging are presented with a new metric to automatically tune the correlation parameter and a batch process to undertake kriging for mode shape interpolation. Details of the procedure are discussed through both numerical and experimental field data obtained from flexible pedestrian bridges. It is anticipated that through the modifications described in this paper, kriging will spur greater interest from the pedestrian bridge modal analysis community.
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Acknowledgments
The corresponding author would like to thank the Alexander von Humboldt Foundation for providing financial support for his research stay during 2013 in Berlin, Germany, where the initial ideas for this work were conceived and the field study on Kochenhofsteg was undertaken. Financial support provided by the Natural Sciences Engineering Research Council of Canada through their Discovery Grants program, which enabled the first author to travel to and conduct a part of this research in Canada in 2013 is also gratefully acknowledged.
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Published In
Journal of Bridge Engineering
Volume 21 • Issue 6 • June 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: May 7, 2015
Accepted: Oct 6, 2015
Published online: Feb 1, 2016
Published in print: Jun 1, 2016
Discussion open until: Jul 1, 2016
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