USAGE OF DELTA DIRAC FUNCTIONS TO ANALIZE CRACKS IN METALLIC PIPES WITH THE MEASUREMENT OF INSTANTANEOUS SIGNALS
DOI:
https://doi.org/10.18623/rvd.v23.7863Keywords:
Piezoelectricity, Delta Functions, SignalsAbstract
In this paper, a direct application of well-known Dirac-delta functions is presented. Essentially, these functions have been employed to model the signals when are seen as instantaneous signals. This type of signals is compatible with cracks and broken metallic pipes when sensors of piezoelectric nature are used. Attention was paid on the behavior of Dirac-delta when its argument contains polynomials so that the resulting output inside a methodology based in convolutions yield various peaks and dips. These aspects associated to the input/output convolution integral can also be expressed in computational structures in order to derive in a straightforward manner the modeling of cracks in metallic pipes. when it is available high-resolution sensors based in piezoelectric materials. Therefore, it was found that the usage of the Dirac-delta function would serve to simulate the reconstructed spectrum expected to be seen in display through a data acquisition system but faster than the conventional ones. Clearly, the proposed methodology might be exploited to simulate the detection of super-fast signals which requires output with high resolution and minimal detector errors.
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