Analysis of Stationary Random Vibrating Systems Using Smooth Decomposition | Zendy

Sergio Bellizzi | Zendy; Rubens Sampaio | Zendy

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Analysis of Stationary Random Vibrating Systems Using Smooth Decomposition

Author(s) -

Sergio Bellizzi,

Rubens Sampaio

Publication year - 2013

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/2013/205162

Subject(s) - decomposition , mathematics , covariance matrix , covariance , matrix decomposition , random matrix , modal , matrix (chemical analysis) , stochastic process , stationary process , random field , algorithm , mathematical optimization , statistics , physics , eigenvalues and eigenvectors , chemistry , quantum mechanics , organic chemistry , polymer chemistry , chromatography

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.

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