Reduced dynamical model of the vibrations of a metal plate

D. Moreno; Bernardino Barrientos; Carlos Perez-Lopez; Fernando Mendoza-Santoyo; J. A. Guerrero; M. Funes

doi:10.1117/12.611856

14 February 2005 Reduced dynamical model of the vibrations of a metal plate

D. Moreno, Bernardino Barrientos, Carlos Perez-Lopez, Fernando Mendoza-Santoyo, J. A. Guerrero, M. Funes

Proceedings Volume 5776, Eighth International Symposium on Laser Metrology; (2005) https://doi.org/10.1117/12.611856
Event: Eighth International Conference on Laser Metrology, 2005, Merida, Mexico

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.

Citation Download Citation

D. Moreno, Bernardino Barrientos, Carlos Perez-Lopez, Fernando Mendoza-Santoyo, J. A. Guerrero, and M. Funes "Reduced dynamical model of the vibrations of a metal plate", Proc. SPIE 5776, Eighth International Symposium on Laser Metrology, (14 February 2005); https://doi.org/10.1117/12.611856

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