JOURNAL ARTICLE

A transfer matrix for the input impedance of weakly tapered, dissipative cones as of wind instruments (L).

  • Published In: Journal of the Acoustical Society of America, 2023, v. 154, n. 1. P. 463 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Grothe, Timo; Baumgart, Johannes; Nederveen, Cornelis J. 3 of 3

Abstract

The article focuses on reformulating Nederveen's formula for local acoustical admittance in a conical waveguide with visco-thermal losses into a transfer matrix suitable for musical acoustics applications. This transfer matrix differs from other one-dimensional models by directly incorporating losses specific to conical geometries rather than approximating them via cylindrical duct theory. Numerical comparisons show that Nederveen's model aligns more closely with finite-element simulations for long, slim cones typical of woodwind instruments, without requiring axial discretization. The study highlights the importance of an effective radius parameter to capture visco-thermal losses and discusses the model's consistency and potential for integration into existing acoustic impedance frameworks.

Additional Information

  • Source:Journal of the Acoustical Society of America. 2023/07, Vol. 154, Issue 1, p463
  • Document Type:Article
  • Subject Area:Music
  • Publication Date:2023
  • ISSN:0001-4966
  • DOI:10.1121/10.0020270
  • Accession Number:169709190
  • Copyright Statement:Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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