Amplitude-dependent modal coefficients accounting for localized nonlinear losses in a time-domain integration of woodwind model

IF 1 3区 物理与天体物理 Q4 ACOUSTICS
Nathan Szwarcberg, Tom Colinot, C. Vergez, M. Jousserand
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引用次数: 0

Abstract

This article develops the design of a sound synthesis model of a woodwind instrument by modal decomposition of the input impedance, taking into account viscothermal losses as well as localized nonlinear losses at the end of the resonator. This formalism has already been applied by Diab et al. [Journal of Sound and Vibration 528 (2022) 116892] to the study of forced systems. It is now implemented for self-oscillating systems. The employed method extends the definition of the input impedance to the nonlinear domain by adding a dependance on the RMS acoustic velocity at a geometric discontinuity. The poles and residues resulting from the modal decomposition are fitted as a function of this velocity. Thus, the pressure-flow relation defined by the resonator is completed by new equations which account for the dependence with the velocity at the end of the tube. To assess the ability of the model to reproduce a real phenomenon, comparisons with the experimental results of Atig et al. [PhD thesis, Université du Maine (2004)] and Dalmont and Frappé [Journal of the Acoustical Society of America 122(2) (2007) 1173–1179] were carried out. Simulations show that the model reproduces these experimental results qualitatively and quantitatively.
木管模型时域积分中局部非线性损失的振幅相关模态系数
本文通过输入阻抗的模态分解,考虑了粘热损耗和谐振器末端的局部非线性损耗,建立了木管乐器的声音合成模型。这种形式已经被Diab等人[Journal of Sound and Vibration 528(2022) 116892]应用于强迫系统的研究。它现在被用于自振荡系统。该方法将输入阻抗的定义扩展到非线性域,在几何不连续处增加了对均方根声速的依赖。由模态分解得到的极点和残数被拟合为该速度的函数。这样,由谐振器定义的压力-流量关系由新的方程来完成,该方程考虑了与管道末端速度的依赖关系。为了评估该模型再现真实现象的能力,将其与Atig等人[博士论文,universit du Maine(2004)]和Dalmont和frappael [Journal of the acoustic Society of America 122(2)(2007) 1173-1179]的实验结果进行了比较。仿真结果表明,该模型定性和定量地再现了这些实验结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Acta Acustica
Acta Acustica ACOUSTICS-
CiteScore
2.80
自引率
21.40%
发文量
0
审稿时长
12 weeks
期刊介绍: Acta Acustica, the Journal of the European Acoustics Association (EAA). After the publication of its Journal Acta Acustica from 1993 to 1995, the EAA published Acta Acustica united with Acustica from 1996 to 2019. From 2020, the EAA decided to publish a journal in full Open Access. See Article Processing charges. Acta Acustica reports on original scientific research in acoustics and on engineering applications. The journal considers review papers, scientific papers, technical and applied papers, short communications, letters to the editor. From time to time, special issues and review articles are also published. For book reviews or doctoral thesis abstracts, please contact the Editor in Chief.
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