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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 20 — Sep. 28, 2009
  • pp: 18014–18025

Multimode vibration analysis with high-speed TV holography and a spatiotemporal 3D Fourier transform method

Cristina Trillo, Ángel F. Doval, Fernando Mendoza-Santoyo, Carlos Pérez-López, Manuel de la Torre-Ibarra, and J. Luis Deán  »View Author Affiliations

Optics Express, Vol. 17, Issue 20, pp. 18014-18025 (2009)

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The combination of a high-speed TV holography system and a 3D Fourier-transform data processing is proposed for the analysis of multimode vibrations in plates. The out-of-plane displacement of the object under generic vibrational excitation is resolved in time by the fast acquisition rate of a high-speed camera, and recorded in a sequence of interferograms with spatial carrier. A full-field temporal history of the multimode vibration is thus obtained. The optical phase of the interferograms is extracted and subtracted from the phase of a reference state to yield a sequence of optical phase-change maps. Each map represents the change undergone by the object between any given state and the reference state. The sequence of maps is a 3D array of data (two spatial dimensions plus time) that is processed with a 3D Fourier-transform algorithm. The individual vibration modes are separated in the 3D frequency space due to their different vibration frequencies and, to a lesser extent, to the different spatial frequencies of the mode shapes. The contribution of each individual mode (or indeed the superposition of several modes) to the dynamic behaviour of the object can then be separated by means of a bandpass filter (or filters). The final output is a sequence of complex-valued maps that contain the full-field temporal history of the selected mode (or modes) in terms of its mechanical amplitude and phase. The proof-of-principle of the technique is demonstrated with a rectangular, fully clamped, thin metal plate vibrating simultaneously in several of its natural resonant frequencies under white-noise excitation.

© 2009 OSA

OCIS Codes
(100.2000) Image processing : Digital image processing
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry
(120.7280) Instrumentation, measurement, and metrology : Vibration analysis

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: July 1, 2009
Revised Manuscript: September 3, 2009
Manuscript Accepted: September 7, 2009
Published: September 23, 2009

Cristina Trillo, Ángel F. Doval, Fernando Mendoza-Santoyo, Carlos Pérez-López, Manuel de la Torre-Ibarra, and J. Luis Deán, "Multimode vibration analysis with high-speed TV holography and a spatiotemporal 3D Fourier transform method," Opt. Express 17, 18014-18025 (2009)

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