| Presentation | 2009-06-26 Investigation of Numerical Method of Xylophone by Finite Difference Method in Time Domain Hideo TSURU, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Recently, the numerical simulations in time domain are applied to practical analysis of musical instruments. The various instruments such as piano, violin and xylophone are simulated numerically. Here, we investigate vibrations of the mallet instrument by numerical simulations. A xylophone is an elastic material which has a non-uniform cross section. A dynamical equation of the xylophone is modelled by Timoshenko beam theory or Mindlin plate theory. Viscoelastic and fluid mechanical damping effects are also taken into account. Vibrational motions of the elastic bar are simulated numerically through a finite difference method. Since the order of the spatial differential in the coupled partial differential equations is larger than that of the time differential, an implicit method is used to stabilize its numerical behaviour. The simulation can predict temporal behaviours of the vibration which are influenced by the changes of the shape and the position of the impact point. It is concluded that the damping effects are important to reproduce a realistic sound. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Timoshenko beam / Mindlin plate / Implicit integration |
| Paper # | EA2009-34 |
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| Conference Information | |
| Committee | EA |
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| Conference Date | 2009/6/18(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Engineering Acoustics (EA) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Investigation of Numerical Method of Xylophone by Finite Difference Method in Time Domain |
| Sub Title (in English) | |
| Keyword(1) | Timoshenko beam |
| Keyword(2) | Mindlin plate |
| Keyword(3) | Implicit integration |
| 1st Author's Name | Hideo TSURU |
| 1st Author's Affiliation | Nittobo Acoustic Engineering() |
| Date | 2009-06-26 |
| Paper # | EA2009-34 |
| Volume (vol) | vol.109 |
| Number (no) | 100 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |