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A hybrid scheme for bore design optimization of a brass instrument
Umeå University, Faculty of Science and Technology, Department of Computing Science.
Department of Information Technology, Uppsala University.
Umeå University, Faculty of Science and Technology, Department of Computing Science. (UMIT)ORCID iD: 0000-0003-0473-3263
2010 (English)In: Journal of the Acoustical Society of America, ISSN 0001-4966, E-ISSN 1520-8524, Vol. 128, no 3, 1391-1400 p.Article in journal (Refereed) Published
Abstract [en]

Thispaper presents how the shape of a brass instrument canbe optimized with respect to its intonation properties. The instrumentis modeled using a hybrid method between a lossy one-dimensionaltransmission line analogy for the slowly flaring part of theinstrument, and a two-dimensional finite element model for the rapidlyflaring part. The optimization employs gradient-based algorithms, and allows fora large number of design variables. Through the use ofan appropriate choice of design variables, the algorithm is capableof rapidly finding horn profiles that are optimal subject tovarious geometric constraints, such as increasing or convex bell flares.It is found that under a convexity constraint, brass windbells that are optimal with respect to an intonation conditioncan be constructed of piecewise conical sections.

Place, publisher, year, edition, pages
Acoustical Society of America , 2010. Vol. 128, no 3, 1391-1400 p.
Keyword [en]
finite element analysis, musical acoustics, musical instruments, optimisation
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:umu:diva-40281DOI: 10.1121/1.3466871ISI: 000281799800049OAI: oai:DiVA.org:umu-40281DiVA: diva2:399132
Available from: 2011-02-21 Created: 2011-02-21 Last updated: 2017-12-11

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Noreland, DanielBerggren, Martin

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