Eigenvector Normalization from Mass Perturbations: A Review

  • D. Bernal
Conference paper
Part of the RILEM Bookseries book series (RILEM, volume 6)


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.


Eigenvector scaling Modal models Normalization Operational modal analysis Output-only identification Sensitivities 


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Copyright information

© RILEM 2013

Authors and Affiliations

  1. 1.Civil and Environmental Engineering Department, Center for Digital Signal ProcessingNortheastern UniversityBostonUSA

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