Smart Structures and Systems

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A constrained minimization-based scheme against susceptibility of drift angle identification to parameters estimation error from measurements of one floor

  • Kangqian Xu (School of Civil Engineering, Qingdao University of Technology) ;
  • Akira Mita (Department of System Design Engineering, Keio University) ;
  • Dawei Li (School of Civil Engineering, Lanzhou University of Technology) ;
  • Songtao Xue (Department of Disaster Mitigation for Structures, Tongji University) ;
  • Xianzhi Li (School of Civil Engineering, Qingdao University of Technology)
  • Received : 2023.05.09
  • Accepted : 2024.01.08
  • Published : 2024.02.25
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Abstract

Drift angle is a significant index for diagnosing post-event structures. A common way to estimate this drift response is by using modal parameters identified under natural excitations. Although the modal parameters of shear structures cannot be identified accurately in the real environment, the identification error has little impact on the estimation when measurements from several floors are used. However, the estimation accuracy falls dramatically when there is only one accelerometer. This paper describes the susceptibility of single sensor identification to modelling error and simulations that preliminarily verified this characteristic. To make a robust evaluation from measurements of one floor of shear structures based on imprecisely identified parameters, a novel scheme is devised to approximately correct the mode shapes with respect to fictitious frequencies generated with a genetic algorithm; in particular, the scheme uses constrained minimization to take both the mathematical aspect and the realistic aspect of the mode shapes into account. The algorithm was validated by using a full-scale shear building. The differences between single-sensor and multiple-sensor estimations were analyzed. It was found that, as the number of accelerometers decreases, the error rises due to insufficient data and becomes very high when there is only one sensor. Moreover, when measurements for only one floor are available, the proposed method yields more precise and appropriate mode shapes, leading to a better estimation on the drift angle of the lower floors compared with a method designed for multiple sensors. As well, it is shown that the reduction in space complexity is offset by increasing the computation complexity.

Keywords

Acknowledgement

The experimental data was from the E-Defense test, which was carried out at the National Research Institute for Earth Science and Disaster Resilience. The generosity of the staff at the institute in sharing their data is greatly appreciated. The study was partially supported by grants from the Japan Society for the Promotion of Science (JSPS KAKENHI 18H00968) and the Keio Leading-edge Laboratory 2021 Ph.D. Program Research Grant, and a scholarship, the 'Design the Future' Award of Keio University.

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