Tutorial on wavenumber transforms of structural vibration fields

Stephen A. Hambric, Andrew R. Barnard

Research output: Contribution to conferencePaper

Abstract

While most new vibro-acousticians quickly understand time-frequency Fourier transforms, learning the similar concept of space-wavenumber transforms is more difficult. Two features of spatial Fourier transforms complicate the learning process: spatial transforms are over two dimensions (time is one dimensional) and negative wavenumber terms are important (negative frequencies are ignored in time-frequency transforms). In this tutorial, we try to demystify spatial Fourier transforms using examples of flat rectangular panel vibration fields which include positive and negative two dimensional wavenumber terms. We also demonstrate the well-known wavenumber filtering approach to eliminate subsonic components of a vibration field, thereby revealing the supersonic radiating vibration field. Finally, we show how wavenumber filtering of measured vibration fields may be used to determine structure-borne transmission coefficients between two panels bolted along a common edge.

Original languageEnglish (US)
StatePublished - Jan 1 2018
Event47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018 - Chicago, United States
Duration: Aug 26 2018Aug 29 2018

Other

Other47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018
CountryUnited States
CityChicago
Period8/26/188/29/18

Fingerprint

structural vibration
vibration
learning
rectangular panels
coefficients

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

Cite this

Hambric, S. A., & Barnard, A. R. (2018). Tutorial on wavenumber transforms of structural vibration fields. Paper presented at 47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018, Chicago, United States.
Hambric, Stephen A. ; Barnard, Andrew R. / Tutorial on wavenumber transforms of structural vibration fields. Paper presented at 47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018, Chicago, United States.
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Hambric, SA & Barnard, AR 2018, 'Tutorial on wavenumber transforms of structural vibration fields' Paper presented at 47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018, Chicago, United States, 8/26/18 - 8/29/18, .

Tutorial on wavenumber transforms of structural vibration fields. / Hambric, Stephen A.; Barnard, Andrew R.

2018. Paper presented at 47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018, Chicago, United States.

Research output: Contribution to conferencePaper

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Hambric SA, Barnard AR. Tutorial on wavenumber transforms of structural vibration fields. 2018. Paper presented at 47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018, Chicago, United States.