Acoustics of the banjo: theoretical and numerical modelling
A previous paper [Woodhouse et al., Acta Acustica 5, 15 (2021) https://doi.org/10.1051/aacus/2021009] showed acoustical measurements of an American 5-string banjo alongside similar measurements on a guitar, revealing a strong contrast in bridge admittance. Theoretical and numerical modelling is now...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2021-01-01
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| Series: | Acta Acustica |
| Online Access: | https://acta-acustica.edpsciences.org/articles/aacus/full_html/2021/01/aacus200052/aacus200052.html |
| _version_ | 1827840935236468736 |
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| author | Woodhouse Jim Politzer David Mansour Hossein |
| author_facet | Woodhouse Jim Politzer David Mansour Hossein |
| author_sort | Woodhouse Jim |
| collection | DOAJ |
| description | A previous paper [Woodhouse et al., Acta Acustica 5, 15 (2021) https://doi.org/10.1051/aacus/2021009] showed acoustical measurements of an American 5-string banjo alongside similar measurements on a guitar, revealing a strong contrast in bridge admittance. Theoretical and numerical modelling is now presented to probe the physics behind this contrast. Without the bridge and strings, the banjo membrane has a rising trend of admittance associated with its modal density, and it has a distinctive pattern of sound radiation because an ideal membrane has no critical frequency. When the bridge and strings are added to the banjo, three formants shape the amplitude envelope of the admittance. One is associated with local effects of mass and stiffness near the bridge, and is sensitive to bridge mass and the break angle of the strings over the bridge. The other two formants are associated with dynamical behaviour of the bridge, analogous to the “bridge hill” in the violin. |
| first_indexed | 2024-03-12T07:43:48Z |
| format | Article |
| id | doaj.art-a56597b389074daabe95894f0f808758 |
| institution | Directory Open Access Journal |
| issn | 2681-4617 |
| language | English |
| last_indexed | 2024-03-12T07:43:48Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Acta Acustica |
| spelling | doaj.art-a56597b389074daabe95894f0f8087582023-09-02T21:08:24ZengEDP SciencesActa Acustica2681-46172021-01-0151610.1051/aacus/2021008aacus200052Acoustics of the banjo: theoretical and numerical modellingWoodhouse Jim0https://orcid.org/0000-0002-6645-1635Politzer David1Mansour Hossein2Cambridge University Engineering DepartmentCaltech 452-48Dassault Systèmes – SIMULIAA previous paper [Woodhouse et al., Acta Acustica 5, 15 (2021) https://doi.org/10.1051/aacus/2021009] showed acoustical measurements of an American 5-string banjo alongside similar measurements on a guitar, revealing a strong contrast in bridge admittance. Theoretical and numerical modelling is now presented to probe the physics behind this contrast. Without the bridge and strings, the banjo membrane has a rising trend of admittance associated with its modal density, and it has a distinctive pattern of sound radiation because an ideal membrane has no critical frequency. When the bridge and strings are added to the banjo, three formants shape the amplitude envelope of the admittance. One is associated with local effects of mass and stiffness near the bridge, and is sensitive to bridge mass and the break angle of the strings over the bridge. The other two formants are associated with dynamical behaviour of the bridge, analogous to the “bridge hill” in the violin.https://acta-acustica.edpsciences.org/articles/aacus/full_html/2021/01/aacus200052/aacus200052.html |
| spellingShingle | Woodhouse Jim Politzer David Mansour Hossein Acoustics of the banjo: theoretical and numerical modelling Acta Acustica |
| title | Acoustics of the banjo: theoretical and numerical modelling |
| title_full | Acoustics of the banjo: theoretical and numerical modelling |
| title_fullStr | Acoustics of the banjo: theoretical and numerical modelling |
| title_full_unstemmed | Acoustics of the banjo: theoretical and numerical modelling |
| title_short | Acoustics of the banjo: theoretical and numerical modelling |
| title_sort | acoustics of the banjo theoretical and numerical modelling |
| url | https://acta-acustica.edpsciences.org/articles/aacus/full_html/2021/01/aacus200052/aacus200052.html |
| work_keys_str_mv | AT woodhousejim acousticsofthebanjotheoreticalandnumericalmodelling AT politzerdavid acousticsofthebanjotheoreticalandnumericalmodelling AT mansourhossein acousticsofthebanjotheoreticalandnumericalmodelling |