### 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 language | English (US) |
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State | Published - Jan 1 2018 |

Event | 47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018 - Chicago, United States Duration: Aug 26 2018 → Aug 29 2018 |

### Other

Other | 47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018 |
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Country | United States |

City | Chicago |

Period | 8/26/18 → 8/29/18 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Acoustics and Ultrasonics

### Cite this

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

Research output: Contribution to conference › Paper

TY - CONF

T1 - Tutorial on wavenumber transforms of structural vibration fields

AU - Hambric, Stephen A.

AU - Barnard, Andrew R.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=85059431889&partnerID=8YFLogxK

M3 - Paper

ER -