Analysis of a Pseudo-Harmonic Tubular Bell
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University of Toledo / OhioLINK
2017
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| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=toledo149980725594691 |
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ndltd-OhioLink-oai-etd.ohiolink.edu-toledo1499807255946912021-08-03T07:03:09Z Analysis of a Pseudo-Harmonic Tubular Bell Oliver, Douglas L. Acoustics Mathematics Mechanics tubular bells,chimes,vibrations Tubular bells, or chimes are used for ambient sounds as well as serious music.Unlike most wind or stringed instruments, a tubular bell does not have a harmonic setof overtones. The lack of harmonious overtones creates a problem with using tubularbells for serious music: there is not unanimity regarding the pitch, or musical noteassociated with a particular tubular bell.The Euler-Bernoulli model for vibrating thin beams was used to derive amathematical model for vibrations of a tubular bell. Using this model, an analysis of thenatural frequencies of a modified tubular bell was presented. One or more ends of thetubular bell were weighted with a mass. This mass changes the boundary conditions,and hence the ratio of the natural frequencies of the tubular bell.Values for the ratio of the mass of weight(s) to the mass of the tube wereidentified such that the ratio of the frequency of the first overtone to the secondovertone was 2. Under these conditions, the these overtones are one octave apart.Frequency ratios predicted by the model have been compared with experimentalresults of a frequency analysis of the sound produced by two physical tubes. Theexperimental results were in good agreement with the theoretical predictions. 2017 English text University of Toledo / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=toledo149980725594691 http://rave.ohiolink.edu/etdc/view?acc_num=toledo149980725594691 unrestricted This thesis or dissertation is protected by copyright: some rights reserved. It is licensed for use under a Creative Commons license. Specific terms and permissions are available from this document's record in the OhioLINK ETD Center. |
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NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Acoustics Mathematics Mechanics tubular bells,chimes,vibrations |
| spellingShingle |
Acoustics Mathematics Mechanics tubular bells,chimes,vibrations Oliver, Douglas L. Analysis of a Pseudo-Harmonic Tubular Bell |
| author |
Oliver, Douglas L. |
| author_facet |
Oliver, Douglas L. |
| author_sort |
Oliver, Douglas L. |
| title |
Analysis of a Pseudo-Harmonic Tubular Bell |
| title_short |
Analysis of a Pseudo-Harmonic Tubular Bell |
| title_full |
Analysis of a Pseudo-Harmonic Tubular Bell |
| title_fullStr |
Analysis of a Pseudo-Harmonic Tubular Bell |
| title_full_unstemmed |
Analysis of a Pseudo-Harmonic Tubular Bell |
| title_sort |
analysis of a pseudo-harmonic tubular bell |
| publisher |
University of Toledo / OhioLINK |
| publishDate |
2017 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=toledo149980725594691 |
| work_keys_str_mv |
AT oliverdouglasl analysisofapseudoharmonictubularbell |
| _version_ |
1719452622951284736 |