Abstract
A 3D Fourier transform for vibration measurement of an object based on shadow moire technique is presented. A sinusoidal grating is placed closed to a vibrating object. The moire fringe patterns generated by the interference of grating lines and shadow lines are captured by a high-speed camera. The joint spatial and temporal information of the fringe sequence is processed by use of the 3D Fourier transform simultaneously rather than separately, then a 3D space-time phase distribution can be obtained from the filtered spatiotemporal spectra. From the phase values, the surface profile, and displacement of the object at different time can be retrieved. The experiment for measurement of a vibrating cantilever beam is used to demonstrate the validity of the technique. The results show that shadow moire with spatiotemporal analysis can be applied to dynamic measurement.
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