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Modal Analysis With Smooth Karhunen-Loève Decomposition

[+] Author Affiliations
S. Bellizzi

CNRS, Marseille, France

Rubens Sampaio

PUC-Rio, Rio de Janeiro, RJ, Brazil

Paper No. DETC2009-86235, pp. 561-567; 7 pages
  • ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts A and B
  • San Diego, California, USA, August 30–September 2, 2009
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4898-2 | eISBN: 978-0-7918-3856-3
  • Copyright © 2009 by ASME


In this paper, the Smooth Orthogonal Decomposition is formulated in term of a Smooth Karhunen-Loève Decomposition (SKLD) to analyze random fields. The SKLD is obtained solving a generalized eigenproblem defined from the covariance matrix of the random field and the covariance matrix of the associated time derivative random field. The main properties of the SKLD are described and compared to the classical Karhunen-Loève decomposition. The SKLD is then applied to the responses of randomly excited vibrating systems with a view to performing modal analysis. The associated SKLD characteristics are interpreted in case of linear vibrating systems subjected to white noise excitation in terms of normal modes. Discrete and continuous mechanical systems are considered in this study.

Copyright © 2009 by ASME
Topics: White noise



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