Abstract
Stochastic identification results are not sufficient to determine input-output relations because one constant for each identified mode is missing. Since the product of a mode and its constant is unique the constant can be absorbed into the modal scaling and it is in this context that the term eigenvector normalization is used in this paper. The seminal contribution in the normalization of operational modes is from Parloo et. al., whom, in a paper in 2002, noted that the required scaling can be computed from the derivative of the eigenvalues to known perturbations. This paper contains a review of the theoretical work that has been carried out on the perturbation strategy in the near decade that has elapsed since its introduction.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Parloo, E., Verboven, P., Guillaume, P., and Van Overmeire, M., (2002). “Sensitivity-based operational mode shape normalization”, Mech. Syst. Signal Process, 16, pp. 757–767.
Parloo, E., Verboven, P., Cuillame, P., and Overmeire, M. V., (2003). “Iterative calculation of nonlinear changes by first-order approximations”, Proc. of the 20 th Int. Modal Anal. Conf., Orlando FL., pp. 1084–1090.
Brinker R., and Andersen P., (2004). “A way of getting scaled mode shapes in output-only modal testing”, Proc. 21st Int. Modal Anal. Conf. – on CD.
Bernal D., (2004). “Modal scaling from known mass perturbations”, J. Eng. Mech., ASCE, (130), 9, pp. 1083–1088.
Bernal D., (2011).“A receptance based formulation for modal scaling using mass perturbations”, Mech. Syst. Signal Process, 25(2) pp. 621–629.
Heylen W., Lammens S., Sas P., (1997). Modal Analysis Theory and Testing, Departement Werktuigkunde, Katholieke Universiteit Leuven, Heverlee.
Balmes E. (1997). “New results in the identification of normal modes from experimental complex modes”, Mech. Syst. Signal Process, 11(2), pp. 229–243.
Bernal D., (in review). “Complex eigenvector scaling from mass perturbations”, J. Eng. Mech., ASCE.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 RILEM
About this paper
Cite this paper
Bernal, D. (2013). Eigenvector Normalization from Mass Perturbations: A Review. In: Güneş, O., Akkaya, Y. (eds) Nondestructive Testing of Materials and Structures. RILEM Bookseries, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0723-8_146
Download citation
DOI: https://doi.org/10.1007/978-94-007-0723-8_146
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0722-1
Online ISBN: 978-94-007-0723-8
eBook Packages: EngineeringEngineering (R0)