Abstract
Normalization of modes obtained from operational modal analysis has received significant attention since the seminal paper on the use of mass perturbations by Parloo et.al., in 2002. The present paper presents a formulation where the square of the scaling constants are obtained from an over-determined linear system of equations. The formulation is exact for arbitrary changes in the modal model when the modal basis is complete, as well as for all conditions where existing uncoupled solutions are exact, independently of truncation. The approach is designated as the Receptance Based Normalization (RBN) scheme because the coefficients in the system of equations are obtained from evaluations of the modal series expression for the Receptance matrix.
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References
Parloo, E., Verboven, P., Guillaume, P. and Van Overmeire, M., Sensitivity-based operational mode shape normalization, Mechanical Systems and Signal Processing, 16, (2002) 757-767.
Parloo, E., Verboven, P., Cuillame, P., and Overmeire, M. V., Iterative calculation of nonlinear changes by first-order approximations, Proc. of the 20th Int. Modal Anal. Conf., Orlando FL., (2002) 1084-1090.
Brinker R., and Andersen P. (2003). “A way of getting scaled mode shapes in output-only modal testing”, Proc. of the 21st Int. Modal Anal. Conf., Kissimmee, Fl– on CD.
Bernal D.(2004). “Modal scaling from known mass perturbations”, J. Eng. Mech. 130 (9)1083-1088.
Bernal D. (2010). “A Receptance Based Formulation for Modal Scaling Using Mass Perturbations”, Mechanical Systems and Signal Processing, doi:101016/j.ymssp.2010.08.004.
Balmes E. (1997). “New results in the identification of normal modes from experimental complex modes”, Mechanical Systems and Signal Processing, 11 (2), 229-243.
Pappa R.S., Elliott K.B., and Schenk A.,(1993). “Consistent-mode indicator for the eigensystem realization algorithm”, J. Guidance, Control, and Dynamics, 16 (5), 852-858.
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Bernal, D. (2011). Receptance Based Normalization of Operational Mode Shapes. In: Proulx, T. (eds) Linking Models and Experiments, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9305-2_29
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DOI: https://doi.org/10.1007/978-1-4419-9305-2_29
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Online ISBN: 978-1-4419-9305-2
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