Abstract
Structural system identification has attracted much attention in the structural dynamic field over the past decades. For identifying parameters of the inelastic response of a structure under ground shaking, the Kalman filter (KF) and unscented Kalman filter (UKF) have been used extensively. In this paper, numerical and experimental investigations were carried out to test the capabilities of square-root unscented Kalman filters (SRUKF) and adaptive square-root unscented Kalman filters (ASRUKF) for identifying the parameters of the nonlinear structural system, with the Bouc-Wen model applied to describe the nonlinear hysteresis of magnetorheological elastomer materials. A new method was proposed for parameter initial values estimation, which could ensure that the parameters in the constitutive equation be identified uniquely and thus reduce the influence of the initial error on the parameter estimation. The numerical investigation showed that the ASRUKF outperformed the SRUKF in both convergence speed and estimation accuracy. Furthermore, the ASRUKF was able to track the sudden change of the parameter whereas the SRUKF was not. The experimental results indicate that the estimated Bouc-Wen model through ASRUKF not only presents a good match with the experimental data for a specific input but also keeps physical properties that are inherent to the real data, independently of the exciting input.
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Acknowledgments
This work was supported in part by the National Natural Science Foundation of China under Award 51678116 and the Dalian Innovation Program under Award 2016RQ008.
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©2018 American Society of Civil Engineers.
History
Received: Apr 12, 2018
Accepted: Jun 28, 2018
Published online: Oct 29, 2018
Published in print: Jan 1, 2019
Discussion open until: Mar 29, 2019
ASCE Technical Topics:
- Adaptive systems
- Algorithms
- Construction materials
- Continuum mechanics
- Dynamic models
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Environmental engineering
- Filters
- Filtration
- Forces (type)
- Kalman filters
- Magnetic fields
- Materials engineering
- Mathematics
- Models (by type)
- Parameters (statistics)
- Solid mechanics
- Statistics
- Structural models
- Systems engineering
- Systems management
- Water treatment
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