Journal
OPTICS AND LASERS IN ENGINEERING
Volume 40, Issue 1-2, Pages 81-90Publisher
ELSEVIER SCI LTD
DOI: 10.1016/S0143-8166(02)00058-1
Keywords
speckle interferometry; ESPI; vibration; computational analysis
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Real-time electronic speckle pattern interferometry (ESPI) was used for tuning and visualization of natural frequencies of a trapezoidal plate. The plate was excited to resonant vibration by a sinusoidal acoustical source, which provided a continuous range of audio frequencies. Fringe patterns produced during the time-average recording of the vibrating plate-corresponding to several resonant frequencies-were registered. From these interferograms, calculations of vibrational amplitudes by means of zero-order Bessel functions were performed in some particular cases. The system was also studied analytically. The analytical approach developed is based on the Rayleigh-Ritz method and on the use of nonorthogonal right triangular co-ordinates. The deflection of the plate is approximated by a set of beam characteristic orthogonal polynomials generated by using the Gram-Schmidt procedure. A high degree of correlation between computational analysis and experimental results was observed. (C) 2002 Elsevier Science Ltd. All rights reserved.
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