Abstract
Though Blind Source Separation (BSS) techniques have typically been applied within Operational Modal Analysis (OMA) framework, there joint diagonalization property can also be utilized within traditional input-output Experimental Modal Analysis (EMA) for the purpose of modal parameter estimation. This paper explores this possibility and suggests an approach to achieve the same. The paper presents the mathematical concepts that make it possible for Second Order Blind Identification (SOBI), a blind source separation algorithm to be applied to impulse response functions for the purpose of modal parameter estimation. It is also shown in the paper that, in its current form, the approach provides real mode shapes, irrespective of the nature of the system under investigation. In addition to demonstrating the approach by means of studies conducted on an analytical 5 degrees-of-freedom system, the real mode shapes extracted using the suggested approach are also used for model updating purposes.
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References
Cichocki, A., Amari, S.: Adaptive Blind Signal and Image Processing. Wiley, New York (2002)
Hyvarinen, A., Karhunen, J., Oja, E.: Independent Component Analysis. Wiley, New York (2001)
Antoni, J.: Blind separation of vibration components: principles and demonstrations. Mech. Syst. Signal Process. 19(6), 1166–1180 (2005)
Poncelet, F., Kerschen, G., Golinval, J.C., Verhelst, D.: Output-only modal analysis using blind source separation techniques. Mech. Syst. Signal Process. 21(6), 2335–2358 (2007)
Chauhan, S., Martell, R., Allemang, R.J., Brown, D.L.: Application of independent component analysis and blind source separation techniques to operational modal analysis. In: Proceedings of the 25th IMAC, Orlando (2007)
Swaminathan, B., Sharma, B., Chauhan, S.: Utilization of blind source separation techniques for modal analysis. In: Proceedings of the 28th IMAC, Jacksonville (2010)
Antoni, J., Chauhan, S.: A study and extension of second-order blind source separation to operational modal analysis. J. Sound Vib. 332(4), 1079–1106 (2013)
Allemang, R.J.: Vibrations: experimental modal analysis. UC-SDRL-CN-20-263-663/664, Structural Dynamics Research Laboratory, Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati (1999)
Belouchrani, A., Abed-Meraim, K.K., Cardoso, J.F., Moulines, E.: Second order blind separation of correlated sources. In: Proceedings of International Conference on Digital Signal Processing, Cyprus, pp. 346–351 (1993)
Allemang, R.J.: Vibrations: analytical and experimental modal analysis. UC-SDRL-CN-20-263-662, Structural Dynamics Research Laboratory, Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati (1999)
Ewins, D.J.: Modal Testing: Theory, Practice and Application. Research Studies Press, Baldock (2000)
Friswell, M.I., Mottershead, J.E.: Finite Element Model Updating in Structural Dynamics. Kluwer, Dordrecht (1995)
Imregun, M., Visser, W.J.: A review of model updating techniques. Shock. Vib. Dig. 23, 141–162 (1991)
Collins, J.D., Hart, G.C., Hasselman, T.K., Kennedy, B.: Statistical identification of structures. AIAA J. 12, 185–190 (1974)
Fox, R.L., Kapoor, M.P.: Rate of change of eigenvalues and eigenvectors. AIAA J. 12, 2426–2429 (1968)
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© 2016 The Society for Experimental Mechanics, Inc.
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Arora, V., Chauhan, S. (2016). A Blind Source Separation Based Approach for Modal Parameter Estimation in Traditional Input-Output Experimental Modal Analysis Framework. In: Mains, M. (eds) Topics in Modal Analysis & Testing, Volume 10. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-30249-2_23
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DOI: https://doi.org/10.1007/978-3-319-30249-2_23
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