Analysis of Axisymmetric Structural Vibrations in Brass Instruments
Theoretical and experimental studies in the past have shown a noticeable link between axial structural vibrations and the input impedance and acoustic transfer function of brass instruments. Therefore, for accurate simulations of brass instruments such as trumpets and trombones, the coupling between the air-column and the structural vibrations must not be ignored. Previously developed distributed mass- spring models for structural vibrations consisting of lumped masses connected via axial and radial springs were useful for this purpose, as they were computationally efficient and could be seamlessly integrated into vibro-acoustic simulations, interactive sound synthesis and bore optimisation procedures. However the simplicity of axial and radial springs meant that the model was insufficient to capture certain deflection shapes observed in both experimental measurements and finite element simulations performed using COMSOL. The aim of this paper is to develop an axisymmetric finite element model of a brass instrument bell, and use it to compare the accuracy of a distributed mass-spring model of the same instrument. This is used to develop a distributed mass-spring model that captures all acoustically significant structural vibrations which can then be coupled with the acoustic vibrations thus improving the accuracy of vibroacoustic simulations of brass instruments.
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Document Type: Research Article
Publication date: May 1, 2019
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- Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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