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Shock and Vibration - Volume 20 2013, Issue 3, Pages 493-502

LMA, CNRS, Aix-Marseille University, Marseille, France

Department of Mechanical Engineering, PUC-Rio, Rio de Janeiro, Brazil

Received 5 July 2012; Revised 4 November 2012; Accepted 9 November 2012

Copyright © 2013 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A modified Karhunen-Loève Decomposition-Proper Orthogonal Decomposition method, named Smooth Decomposition SD also named smooth Karhunen-Loève decomposition, was recently introduced to analyze stationary random signal. It is based on a generalized eigenproblem defined from the covariance matrix of the random process and the covariance matrix of the associated time-derivative random process. The SD appears to be an interesting tool in terms of modal analysis. In this paper, the SD will be described in case of stationary random processes and extended also to stationary random fields. The main properties will be discussed and illustrated on a randomly excited clamped-free beam.

Autor: Sergio Bellizzi and Rubens Sampaio



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