Digital modeling of the piano soundboard

应用声学系统（AAS）是一家蒙特利尔公司，专门从事使用基于物理的建模方法开发声音合成器。多年来，AAS开发了小提琴和吉他等弦乐器的模型。最近，AAS一直致力于钢琴建模，由于庞大的用户群，它具有巨大的商业潜力。钢琴声音的一个重要方面是由它的音板决定的，它将琴弦的振动辐射到周围的空气中。然而，目前研究文献中关于钢琴音板特性的数据是有限的，覆盖的频率范围只有大约1-2千赫，有时与理论模型的预测相矛盾。麦吉尔大学（McGill University）计算声学建模实验室（Computational Acoustics Modeling Laboratory）的研究最近开发出了对小提琴和吉他琴身进行测量和建模的高效技术。虽然钢琴本身存在挑战，但这些技术在AAS的声音合成工作中具有很大的潜力。在先前授予的Engage资助期间，在测量钢琴音板特性方面取得了重大进展。这个Engage Plus提案的重点是使用测量数据来建立有效的数字模型，以便在AAS的钢琴合成系统中实现。这个项目将代表我们在乐器测量、建模和声音合成方面的专业知识在乐器上的重要应用，我们以前没有研究过。反过来，这项研究将有助于paas开发和销售令人信服的钢琴声音合成模型，并有助于设计一种可以扩展到其他弦乐器的建模方法。

Applied Acoustics Systems (AAS) is a Montreal company specializing in the development of soundsynthesizers using a physics-based modeling approach. Over the years, AAS has developed models of stringinstruments such as the violin and the guitar. More recently, AAS has been working on piano modeling, whichhas significant commercial potential due to the large user base. An important aspect of a piano's sound isdetermined by its soundboard, which radiates the vibrations of the strings into the surrounding air. However,the data currently available in the research literature about piano soundboard characteristics is limited, coveringa frequency range only up to about 1-2 kHz and sometimes contradicting predictions of theoretical models.Research in the Computational Acoustics Modeling Laboratory at McGill University has recently resulted inhighly effective techniques for the measurement and modeling of violin and guitar bodies. Although the pianopresents its own challenges, these techniques have great potential for use in AAS's sound synthesis efforts.Significant progress has been made in measuring the characteristics of the piano soundboard during the courseof the previously awarded Engage grant. This Engage Plus proposal is focused on using the measured data tobuild efficient digital models for implementation in AAS's piano synthesis system.This project will represent an important application of our expertise in music instrument measurements,modeling and sound synthesis to an instrument we have not previously studied. In turn, this research will helpAAS to develop and sell convincing sound synthesis models of the piano, as well as contribute to the design ofa modeling approach that can be expanded to other string instruments.