Abstract
The recently described ditfractographic technique1, utilizing the diffraction of light passing through an aperture formed by two edges, one fixed as a reference, is used to determine small vibratory displacements. The transducer has little or no inertia, is noncontacting, and has high sensitivity and accuracy. A “time averaged” method is presented whereby peak amplitudes can be obtained with no readout instrumentation and no upper-frequency limit. Alternatively, a photodetector can be used to determine vibration amplitudes with frequency response limited only by the detector circuit.
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Abbreviations
- I :
-
intensity of light at a point
- I o :
-
intensity of light at the central maximum
- n :
-
minima or fringe order
- Δn :
-
peak to peak change in minima or fringe order
- R :
-
distance from the aperture to the plane of observation
- w :
-
aperture width
- Δw :
-
change in aperture width
- Δw p-p :
-
peak to peak change in aperture width
- x :
-
distance from the pattern axis of symmetry to a given minimum
- λ:
-
wavelength of light
- θ:
-
angle subtended at the aperture by the central maximum and a given minimum
References
Pryor, T. R. andNorth, W. P. T., “The Diffractographic Strain Gage,”Experimental Mechanics,11 (12),565–568 (1971).
Powell, R. L. andStetson, K. A., “Interferometric Vibration Analysis by Wavefront Reconstruction,”J. Opt. Soc. Am.,55,1593–1598 (1964).
Goldberg, J. L., “New Method for the Accurate Standardization of Mechanical Oscillations of Small Amplitude,”Jour. Acoustic Soc. America,36 (10),1922–1925 (1964).
Jenkins, F. A. andWhite, H. E., Fundamentals of Optics, McGraw-Hill Inc., New York, Third Edition, 288–292 (1957).
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Pastorius, W.J., Pryor, T.R. & North, W.P.T. A diffraction transducer for vibration analysis. Experimental Mechanics 12, 341–344 (1972). https://doi.org/10.1007/BF02320492
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DOI: https://doi.org/10.1007/BF02320492