Abstract
The modal-interference phenomenon usually makes difficulty of parametric estimation, especially for some structural systems with severe modal interference caused from close or even repeated modes. The existence of severe modal interference will degrade the effectiveness of system identification, and may lead to the problem of insufficient model order due to the existence of repeated modes. Multiple input/multiple output modal estimation is therefore usually conducted effectively to meet the sufficient number of measurement channels. In this paper, the Complex Mode Indicator Function is introduced to estimate the number of significant modes of a structure with severe modal interference, and then the singular value decomposition (SVD) is employed to parametric estimation of the major modes of a structural system without additionally evaluating enhanced frequency response function. Numerical simulations and experimental validation of a practical rectangular steel plate confirm the effectiveness of the presented method for parametric estimation of systems with severe closely spaced modes under noisy conditions.
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Allemang RJ, Brown DL (2006) A complete review of the complex mode indicator function (CMIF) with applications. Proceedings of international conference on noise and vibration engineering, September 18–20, Leuven, Belgium
Brincker R, Zhang L, Andersen P (2000) Modal identification from ambient responses using frequency domain decomposition. Proceedings of the 18th IMAC, February 7–10, San Antonio, TX, USA
Hougen JO, Walsh RA (1961) Pulse testing method. Chemical Engineering Progress 57(3):69–79
Hwang JS, Kim H (2017) Mode decomposition of structures with closely distributed modes and nonclassical damping. Structural Control Heath Monitoring 25(1):14, DOI: https://doi.org/10.1002/stc.2065
Kim M, Moon J, Wickert, JA (1997) Spatial modulation of repeated vibration modes in rotationally periodic structures. ASME Journal of Vibration and Acoustics 122(1):62–68, DOI: https://doi.org/10.1115/1.568443
Kordkheili SAH, Massouleh SHM, Hajirezayi S, Bahai H (2018) Experimental identification of closely spaced modes using NExT-ERA. Journal of Sound and Vibration 412(6):116–129, DOI: https://doi.org/10.1016/j.jsv.2017.09.038
Kordkheili SAH, Massouleh SHM, Kokabi MJ, Bahai H (2012) A modal coupling procedure to improve residual modal effects based on experimentally generated data. Journal of Sound and Vibration 331(1):66–80, DOI: https://doi.org/10.1016/j.jsv.2011.08.013
Le TH, Caracoglia L (2015) High-order, closely-spaced modal parameter estimation using wavelet analysis. Structural Engineering and Mechanics 55(3):423–442, DOI: https://doi.org/10.12989/sem.2015.56.3.423
Lin RM, Lim MK (1997) Modal analysis of close modes using perturbative sensitivity approach. Engineering Structures 19(6):397–406, DOI: https://doi.org/10.1016/S0141-0296(96)00078-8
Newmark NM (1959) A method of computation for structural dynamics. Journal of the Engineering Mechanics Division, Proceedings of the American Society of Civil Engineering 85(3):67–94
Qu CX, Yi TH, Li HN, Chen B (2018) Closely spaced modes identification through modified frequency domain decomposition. Measurement 128:388–392, DOI: https://doi.org/10.1016/j.measurement.2018.07.006
Rayleigh L (1897) The theory of sound, 2nd edition. Dover Publications, Mineola, NY, USA
Shye K, VanKarsen C, Richardson M (1987) Modal testing using multiple references. 5th international modal analysis conference, April 6–9, London, UK
Tan JB, Liu Y, Wang L, Yang WG (2008) Identification of modal parameters of a system with high damping and closely spaced modes by combining continuous wavelet transform with pattern search. Mechanical Systems and Signal Processing 22(5):1055–1060, DOI: https://doi.org/10.1016/j.ymssp.2007.11.017
Wei ML, Allemang RJ, Brown DL (1987) Real-normalization of measured complex modes. 5th international modal analysis conference, April 6–9, London, UK, 708–712
Acknowledgements
This research was supported in part by Ministry of Science and Technology of Taiwan under the Grant MOST 108-2221-E-020-006-. The author would like to thank his graduate student Ming-Hsien Lin, Department of Vehicle Engineering, National Pingtung University of Science and Technology, Taiwan, for his assistance in experimental validation, and also wishes to thank anonymous reviewers for their valuable comments and suggestions in revisingthe paper.
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Lin, CS. System Identification of Structures with Severe Closely Spaced Modes Using Parametric Estimation Algorithms Based on Complex Mode Indicator Function with Singular Value Decomposition. KSCE J Civ Eng 24, 2716–2730 (2020). https://doi.org/10.1007/s12205-020-1068-0
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DOI: https://doi.org/10.1007/s12205-020-1068-0