Fourier transform method and temporal phase in order to measure frequency, amplitude, and surface profile of a low-frequency vibrating cantilever

Cruz Meneses-Fabian; Ramon Rodriguez-Vera; Juan A. Rayas; Fernando Mendoza-Santoyo; Gustavo Rodríguez-Zurita

doi:10.1117/12.742371

16 May 2007 Fourier transform method and temporal phase in order to measure frequency, amplitude, and surface profile of a low-frequency vibrating cantilever

Cruz Meneses-Fabian, Ramon Rodriguez-Vera, Juan A. Rayas, Fernando Mendoza-Santoyo, Gustavo Rodríguez-Zurita

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Proceedings Volume 6422, Sixth Symposium Optics in Industry; 64221M (2007) https://doi.org/10.1117/12.742371
Event: Sixth Symposium Optics in Industry, 2007, Monterrey, Mexico

Abstract

A novel method of phase differences extraction is applied in order to study vibrations on a homogenous cantilever. It is achieved considering fringe patterns with carrier frequency and slow varying respect to the time. The technique is based on the Fourier-transform method and by the quotient of the two adjacent frames of the patterns. Fringe pattern is obtained by fringe projection on a fixed end homogenous cantilever, undergoing harmonic vibration. With this technique, we can obtain profiles of different vibrating modes of the cantilever for frequencies less than that of the camera frame rate (33.3 ms). In this communication theoretical analysis and experimental profile modes are shown.

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Cruz Meneses-Fabian, Ramon Rodriguez-Vera, Juan A. Rayas, Fernando Mendoza-Santoyo, and Gustavo Rodríguez-Zurita "Fourier transform method and temporal phase in order to measure frequency, amplitude, and surface profile of a low-frequency vibrating cantilever", Proc. SPIE 6422, Sixth Symposium Optics in Industry, 64221M (16 May 2007); https://doi.org/10.1117/12.742371

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