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Proceedings Paper

Dynamic deformation measurements of a rotating disc by twin-pulsed 3D digital holography and interpolation of phase maps
Author(s): Carlos Perez-Lopez; Fernando Mendoza Santoyo
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Paper Abstract

This paper describes the application of twin-pulsed 3D digital holography to the measurement of the dynamic deformation of a disc while it rotates. Object rotation produces interferometric fringes that are related to deformations for instance, stress due to the centrifugal forces, out-to plane vibrations, and the object angular displacement. Furthermore an unbalanced disc that rotates may present a characteristic vibration amplitude pattern at a specific frequency. An optical arrangement that illuminates, with a twin pulsed laser, from three different positions the object was used to recover the x, y and z displacement components in a rotating object. The technique is able to distinguish the disc rotation from the displacement along the x-y plane and the out-of-plane z displacement. Two laser pulses are fired in order to take two digital holgrams with a time separation of 20 μs. This is done for each of the three object illumination positions. Triads of twin-pulsed digital holograms taken at different times during object rotation are processed independently, and their optical phase maps retrieved by the conventional Fourier transform method together with the combination of data from the three illumination positions. The phase term related to the deformation is found experimentally where the intrinsic sensitivity vector is related to the rotation via the vector cross product, forming parallel fringes. To recover the rotation and deformation data the unwrapped phase maps were used as 'tilt' phase planes an all three sensitivity vectors in order to recover the in-plane, and out-to plane displacements. An interpolation algorithm was developed to correlate the time depending phase maps, leading to obtain object vibration frequency data. Experimental results are presented, showing in particular that the rotating object has an unbalancing due to the detected vibration frequency.

Paper Details

Date Published: 22 June 2004
PDF: 5 pages
Proc. SPIE 5503, Sixth International Conference on Vibration Measurements by Laser Techniques: Advances and Applications, (22 June 2004); doi: 10.1117/12.579763
Show Author Affiliations
Carlos Perez-Lopez, Ctr. de Investigaciones en Optica, A.C. (Mexico)
Fernando Mendoza Santoyo, Ctr. de Investigaciones en Optica, A.C. (Mexico)

Published in SPIE Proceedings Vol. 5503:
Sixth International Conference on Vibration Measurements by Laser Techniques: Advances and Applications
Enrico Primo Tomasini, Editor(s)

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