Physics of the Piano

钢琴物理学

• 批准号: 9722031
• 负责人: Nicholas Giordano
• 金额: $ 8.29万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-04-01 至 2001-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9722031&HistoricalAwards=false
• 关键词: Physics; Piano

9722031 Giordano The process through which a piano generates musical tones will be investigated using a combination of experimental measurements and theoretical analysis. One goal will be to develop a theoretical model which describes the vibrations of the piano soundboard throughout the musically important frequency range (~ 50 - 104 Hz). Previous work on vibrating strings will be extended and then combined with our soundboard model to produce a theoretical picture of the string-soundboard combination. Due to the complexity of the geometry and the nonlinearities involved, these models will be largely numerical. They will be tested and refined by comparison with detailed experimental studies of real piano soundboards and strings, and these measurements will also be carried out as part of this project. In the final stage of this work they will extend the modeling to calculate the sound produced by their numerical piano. ***

9722031佐丹奴（Giordano）将使用实验测量和理论分析的组合研究钢琴产生音乐音调的过程。 一个目标是开发一个理论模型，该模型描述了整个音乐上重要的频率范围内钢琴音板的振动（〜50-104 Hz）。 先前关于振动字符串的工作将扩展，然后与我们的音板模型结合使用，以产生弦乐板组合的理论图片。 由于几何形状的复杂性和所涉及的非线性，这些模型将在很大程度上是数值的。 将它们与真实钢琴音板和字符串的详细实验研究进行比较，对它们进行测试和完善，并且这些测量值也将作为该项目的一部分进行。 在这项工作的最后阶段，他们将扩展建模，以计算其数值钢琴产生的声音。 ***