Abstract
During the first step in the development of any structural system identification method, the method should be validated by noise-free measurements in the first place. Nevertheless, this assumption is far from reality as the measurements in these tests are always subjected to the errors of measurement devices. To fill this gap, this paper analyzes the effects of measurement errors in a parametric structural system identification method: the observability method. To illustrate the symbolic approach of this method a simply supported beam is first analyzed in detail. This simulation provides the parametric equations of the estimates. Then, the effects of errors in a particular measurement, errors in all measurements, load locations are studied in this structure. Two additional examples of increasing complexity are also analyzed to show the effect of modelling errors on the estimates. A fluctuation of the observed parameters around the real values is proved a characteristic of this method. The results of these structures illustrate how important the effects of modelling errors are especially in areas with low curvatures.
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Acknowledgments
This work was partially funded by the Spanish Ministry of Economy and Competitiveness and the FEDER fund through the grant project (BIA2013-47290-R) directed by Jose Turmo. It is also to be noted that part of this work was done through a collaborative agreement between Tongji University (China) and Technical University of Catalonia, UPC, BarcelonaTech. This included an exchange of faculty financed by the Chinese government. The financial support from the High End Foreign Experts program (GDW20143100115) from the Chinese government is greatly appreciated. Funding for this research has been provided to Mr. Jose Antonio Lozano-Galant by the Spanish Ministry of Education through its program (CAS14/00994) for postdoctoral stays and to Mr. LEI Jun by the Chinese Scholarship Council through its program (No. 201506260116) and by the Ministerio de Economia y Competitividad through its program (BES-2014-07022) for his Ph.D. stays.
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Lei, J., Lozano-Galant, JA., Nogal, M., Xu, D., Turmo, J. (2018). Impact of Measurement Errors in Inverse Analysis. In: Tran-Nguyen, HH., Wong, H., Ragueneau, F., Ha-Minh, C. (eds) Proceedings of the 4th Congrès International de Géotechnique - Ouvrages -Structures. CIGOS 2017. Lecture Notes in Civil Engineering , vol 8. Springer, Singapore. https://doi.org/10.1007/978-981-10-6713-6_89
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DOI: https://doi.org/10.1007/978-981-10-6713-6_89
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