2022 Fiscal Year Final Research Report
Design of musical instruments based on precise physical modeling and high-accuracy numerical analysis
Project/Area Number |
19H04126
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Research Category |
Grant-in-Aid for Scientific Research (B)
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Allocation Type | Single-year Grants |
Section | 一般 |
Review Section |
Basic Section 60100:Computational science-related
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Research Institution | Kyushu University |
Principal Investigator |
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Project Period (FY) |
2019-04-01 – 2023-03-31
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Keywords | 計算力学 / 数値計算手法 / 振動学 / 音響学 / 楽器 |
Outline of Final Research Achievements |
This work develops vibro-acoustic numerical analysis methods of musical instruments that can contribute to their real design. The development is achieved through high-fidelity physical modeling of vibro-acoustic phenomena in musical instruments and high-accuracy numerical analyses of governing equations of the modeling. The study treats 12 musical instruments including timpani, violins, and cymbals. The physical modeling involves full vibro-acoustic coupling and high-order nonlinear phenomena, without any simplification and approximation. For the numerical analysis of the governing equations, spectral methods are adopted; spectral methods can often achieve greater accuracy in solving ordinary and partial differential equations than other numerical methods, such as the finite difference, finite element, and boundary element methods. Using the developed methods, design of optimal form of existing musical instruments and creation of unconventional form of instruments are performed.
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Free Research Field |
音響工学
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Academic Significance and Societal Importance of the Research Achievements |
ある楽器音を高精度に予測計算できれば,我々はその楽器を真に理解できたと言える。これは,「楽器の科学」の立場からの純粋な問い:ある楽器を,その楽器たらしめているものは何なのか,その楽器らしさの本質とは何なのか,に対する信頼性・精度を伴った物理的・定量的な解答の提示に寄与する。さらに,どのような材質と形状で作れば,どのような楽器音となるかを予測計算できるようになれば,代替材の単なる提案を超えて,既存楽器のデフォルト材料(例えば木材など)という物性範囲の制限から開放された,これまでのプロセスでは創り得なかった新しく個性的な楽器と音色の創生,さらには音楽芸術の創生へ波及する可能性もある。
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