SENSITIVITY-BASED OPERATIONAL MODE SHAPE NORMALISATION

By E. Parloo, P. Verboven, Patrick Guillaume, M. V. Overmeire. 2002

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On exact and approximated formulations for scaling-mode shapes in operational modal analysis by mass and stiffness change (2012, methodology): “In recent years, different authors have proposed equations to estimate the scaling factors by the mass change method [10, 11, 12, 28].”
Design sensitivity and Hessian matrix of generalized eigenproblems (2014, methodology): “Eigensensitivity analysis has become an integral part of many engineering design methodologies such as model updating [7,8], approximate reanalysis technique [9], structural design optimization [10,11], structural health monitoring [12], operational mode shape normalization [13], eigensolution calcu”
A review of vibration-based structural health monitoring with special emphasis on composite materials (2006, background): “However, several output-only modal identification techniques can be found in the literature; for example Guillaume et al. (1999), Parloo et al. (2002a), Brincker and Andersen (2003), Brincker et al. (2003), Mevel and Goursat (2004), Rodrigues et al. (2004) and Galvin and Dominguez (2005).”
Scaling Factor Estimation Using an Optimized Mass Change Strategy, Part 1: Theory (2007, methodology): “The sensitivity of the ith mode shape, corresponding to a local change in the mass at the kth degree of freedom, is given by (see [ 2 ] and [6]):”