Waveform Design for Maximum Pass-Band Energy

dc.contributor.author Doctor, Steven
dc.contributor.author Gibbs, Alan
dc.contributor.author Gribble, R
dc.date 2018-02-16T19:55:34.000
dc.date.accessioned 2020-06-30T06:28:58Z
dc.date.available 2020-06-30T06:28:58Z
dc.date.issued 1981
dc.description.abstract <p>One way to maximize the sensitivity of an ultrasonic inspection is by establishing the pulser output voltage waveform to provide the maximum possible fraction of its energy in the pass-band of the piezoelectric transducer. An analytical study is reported that is backed up with experimental verification. Two pulser constraints are analyzed in this study. The first constraint is to study the common and easily generated waveform shapes for which each waveform has unit energy and compare to the optimum waveform shape with unit energy that is determined analytically. The second constraint is to repeat the first analysis with waveforms having unit amplitude rather than unit energy. The analysis for the first constraint shows that the numerically intractable problem of summing a very large number of Fourier coefficients can be replaced by a mathematically equivalent evaluation of the pass-band energy which requires only the integration of smooth functions. This alternative formulation also leads to the result that the optimized waveform is the eigenfunction of a particular integral operator corresponding to the largest eigenvalue. The eigenvalue itself gives the maximum attainable passband energy. The optimized waveform is compared with sine waves, rectangular waves, trapezoidal waves, triangle waves and exponential spikes for 1/2, 1 and 3/2 cycle durations. The analysis for the second constraint shows that the unit amplitude is in the form of an inequality which is outside the realm of the classical calculus of variations. An exact characterization of the optimized waveform was not found but numerical integration techniques were employed to determine the pass-band energies for the waveforms considered under the first constraint. Finally, a breadboard pulser model is constructed and extensive comparisons of the various waveshapes, sensitivity studies, spectral distributions and experimental verification are made for each constraint.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/qnde/1980/allpapers/8/
dc.identifier.articleid 4787
dc.identifier.contextkey 7386366
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath qnde/1980/allpapers/8
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/58501
dc.language.iso en
dc.relation.ispartofseries Review of Progress in Quantitative Nondestructive Evaluation
dc.source.bitstream archive/lib.dr.iastate.edu/qnde/1980/allpapers/8/1981_YellowJacket_077_Doctor_WaveformDesign.pdf|||Sat Jan 15 01:59:54 UTC 2022
dc.subject.disciplines Acoustics, Dynamics, and Controls
dc.subject.disciplines Engineering Mechanics
dc.subject.disciplines Mechanics of Materials
dc.title Waveform Design for Maximum Pass-Band Energy
dc.type event
dc.type.genre event
dspace.entity.type Publication
relation.isSeriesOfPublication 289a28b5-887e-4ddb-8c51-a88d07ebc3f3
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