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Proceedings Paper

Reduced dynamical model of the vibrations of a metal plate
Author(s): D. Moreno; Bernardino Barrientos; Carlos Perez-Lopez; Fernando Mendoza-Santoyo; J. A. Guerrero; M. Funes
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Paper Abstract

The Proper Orthogonal Decomposition (POD) method is applied to the vibrations analysis of a metal plate. The data obtained from the metal plate under vibrations were measured with a laser vibrometer. The metal plate was subject to vibrations with an electrodynamical shaker in a range of frequencies from 100 to 5000 Hz. The deformation measurements were taken on a quarter of the plate in a rectangular grid of 7 x 8 points. The plate deformation measurements were used to calculate the eigenfunctions and the eigenvalues. It was found that a large fraction of the total energy of the deformation is contained within the first six POD modes. The essential features of the deformation are thus described by only the six first eigenfunctions. A reduced order model for the dynamical behavior is then constructed using Galerkin projection of the equation of motion for the vertical displacement of a plate.

Paper Details

Date Published: 14 February 2005
PDF: 8 pages
Proc. SPIE 5776, Eighth International Symposium on Laser Metrology, (14 February 2005); doi: 10.1117/12.611856
Show Author Affiliations
D. Moreno, Ctr. de Investigaciones en Optica, A.C. (Mexico)
Bernardino Barrientos, Ctr. de Investigaciones en Optica, A.C. (Mexico)
Carlos Perez-Lopez, Ctr. de Investigaciones en Optica, A.C. (Mexico)
Fernando Mendoza-Santoyo, Ctr. de Investigaciones en Optica, A.C. (Mexico)
J. A. Guerrero, Ctr. de Investigaciones en Optica, A.C. (Mexico)
M. Funes, Ctr. de Investigaciones en Optica, A.C. (Mexico)


Published in SPIE Proceedings Vol. 5776:
Eighth International Symposium on Laser Metrology
R. Rodriguez-Vera; F. Mendoza-Santoyo, Editor(s)

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