Paper
22 July 1993 Fourier transform techniques for mode separation in piezocomposites
Dianne M. Granata, William R. Scott, Martin J. Ryan
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Abstract
One and two dimensional real and complex fast fourier transform (FFT) algorithms were applied to the results of displacement phase and magnitude maps obtained from interferometric studies on a type 1-3 piezocomposite specimen electrically driven at a number of frequencies between 6 kHz and 1.0 MHz. Analysis was performed on experimental results for materials consisting of square cross section piezoelectric rods embedded in a square array within an epoxy matrix. Because the spatial periodicities of plate modes at 6 kHz frequencies were much longer than the spacing between rods, two dimensional high pass, low pass, band pass, and notch filters were used to separate plate and standing wave thickness modes. When this analysis was done on measurements taken at 353 kHz, with a only single rod active, is was possible to isolate modes associated with thickness mode vibration of the rods, vibration of the matrix rod interface, and travelling modes radiating from the rods.
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Dianne M. Granata, William R. Scott, and Martin J. Ryan "Fourier transform techniques for mode separation in piezocomposites", Proc. SPIE 1919, Smart Structures and Materials 1993: Mathematics in Smart Structures, (22 July 1993); https://doi.org/10.1117/12.148429
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KEYWORDS
Transform theory

Wave plates

Linear filtering

Fourier transforms

Mathematics

Smart structures

Interferometry

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