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Smart Structures and Systems Volume 33, Number 2, February 2024 , pages 119-131 DOI: https://doi.org/10.12989/sss.2024.33.2.119 |
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A constrained minimization-based scheme against susceptibility of drift angle identification to parameters estimation error from measurements of one floor |
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Kangqian Xu, Akira Mita, Dawei Li, Songtao Xue and Xianzhi Li
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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. | ||
| Key Words | ||
| drift angle; multistory shear structure; single sensor-based identification; genetic algorithm; constrained minimization | ||
| Address | ||
| (1) Kangqian Xu, Xianzhi Li: School of Civil Engineering, Qingdao University of Technology, Qingdao, China; (2) Akira Mita: Department of System Design Engineering, Keio University, Yokohama, Japan; (3) Dawei Li: School of Civil Engineering, Lanzhou University of Technology, Lanzhou, China; (4) Songtao Xue: Department of Disaster Mitigation for Structures, Tongji University, Shanghai, China. | ||