Smart Structures and Systems

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Structural system identification by measurement error-minimization observability method using multiple static loading cases

  • Lei, Jun (Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration) ;
  • Lozano-Galant, Jose Antonio (Department of Civil Engineering, University of Castilla-La Mancha) ;
  • Xu, Dong (Department of Bridge Engineering, Tongji University) ;
  • Zhang, Feng-Liang (Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration) ;
  • Turmo, Jose (Department of Civil and Environmental Engineering, Universitat Politecnica de Catalunya)
  • Received : 2021.06.20
  • Accepted : 2022.05.26
  • Published : 2022.10.25
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Abstract

Evaluating the current condition of existing structures is of primary importance for economic and safety reasons. This can be addressed by Structural System Identification (SSI). A reliable static SSI depends on well-designed sensor configuration and loading cases, as well as efficient parameter estimation algorithms. Static SSI by the Measurement Error-Minimizing Observability Method (MEMOM) is a model-based deterministic static SSI method that could estimate structural parameters from static responses. In the current state of the art, this method is only applicable when structures are subjected to one loading case. This might lead to lack of information in some local regions of the structure (such as the null curvatures zones). To address this issue, the SSI by MEMOM using multiple loading cases is proposed in this work. Observability equations obtained from different loading cases are concatenated simultaneously and an optimization procedure is introduced to obtain the estimations by minimizing the discrepancy between the predicted response and the measured one. In addition, a Genetic-Algorithm (GA)-based Optimal Sensor Placement (OSP) method is proposed to tackle the OSP problem under multiple static loading cases for the very first time. In this approach, the Fisher Information Matrix (FIM)'s determinant is used as the metric of the goodness of sensor configurations. The numerical examples of a 3-span continuous bridge and a 13-story frame, are analyzed to validate the applicability of the extended SSI by MEMOM and the GA-based OSP method.

Keywords

Acknowledgement

This work was partially funded by the Scientific Research Fund of Institute of Engineering Mechanics, China Earthquake Administration (Grant No. 2019 EEEVL0401); Natural Science Foundation of Shenzhen (Grant No: JCYJ20190806143618723); Spanish Ministry of Economy and Competitiveness and FEDER fund (Grant No: BIA2017-86811-C2-1-R, directed by Jose Turmo, and Grant No: BIA2017-86811-C2-2-R). Authors are also indebted to the Secretaria d' Universitats i Recerca de la Generalitat de Catalunya for the funding provided through Agaur (Grant No: 2017 SGR 1481). Part of this work was done through a collaborative agreement between Tongji University (China) and Technical University of Catalonia, UPC. The financial support from the Chinese High-End Foreign Experts program (GDW20143100115) is greatly appreciated. Funding for this research has been provided to Jun Lei by the Chinese Scholarship Council through its program No.201506260116 and by the Spanish Ministry of Economy and Competitiveness through its program BES-2014-07022 for his PhD stays.

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