Chen, Hua-Peng, Tee, Kong Fah ORCID: https://orcid.org/0000-0003-3202-873X and Ni, Yi-Qing (2012) Mode shape expansion with consideration of analytical modelling errors and modal measurement uncertainty. Smart Structures and Systems, 10 (4-5). pp. 485-499. ISSN 1738-1584 (Print), 1738-1991 (Online)

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Abstract

Mode shape expansion is useful in structural dynamic studies such as vibration based structural health monitoring; however most existing expansion methods can not consider the modelling errors in the finite element model and the measurement uncertainty in the modal properties identified from vibration data. This paper presents a reliable approach for expanding mode shapes with consideration of both the errors in analytical model and noise in measured modal data. The proposed approach takes the perturbed force as an unknown vector that contains the discrepancies in structural parameters between the analytical model and tested structure. A regularisation algorithm based on the Tikhonov solution incorporating the L-curve criterion is adopted to reduce the influence of measurement uncertainties and to produce smooth and optimised expansion estimates in the least squares sense. The Canton Tower benchmark problem established by the Elong Kong Polytechnic University is then utilised to demonstrate the applicability of the proposed expansion approach to the actual structure. The results from the benchmark problem studies show that the proposed approach can provide reliable predictions of mode shape expansion using only limited information on the operational modal data identified from the recorded ambient vibration measurements.

Item Type:	Article
Uncontrolled Keywords:	mode shape expansion, modelling errors, perturbed force, measurement uncertainty, regularisation algorithm, Canton Tower benchmark problem
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Pre-2014 Departments:	School of Engineering School of Engineering > Department of Civil Engineering
Related URLs:	Publisher Publisher
Last Modified:	14 Oct 2016 09:24
URI:	http://gala.gre.ac.uk/id/eprint/9633

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