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A hybrid scheme for bore design optimization of a brass instrument
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
2010 (English)In: Journal of the Acoustical Society of America, ISSN 0001-4966, E-ISSN 1520-8524, Vol. 128, 1391-1400 p.Article in journal (Refereed) Published
Place, publisher, year, edition, pages
2010. Vol. 128, 1391-1400 p.
National Category
Computational Mathematics
URN: urn:nbn:se:uu:diva-112193DOI: 10.1121/1.3466871ISI: 000281799800049OAI: oai:DiVA.org:uu-112193DiVA: diva2:285793
Design Optimization
Available from: 2010-01-13 Created: 2010-01-11 Last updated: 2011-11-30Bibliographically approved
In thesis
1. Shape Optimization for Acoustic Wave Propagation Problems
Open this publication in new window or tab >>Shape Optimization for Acoustic Wave Propagation Problems
2010 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Boundary shape optimization is a technique to search for an optimal shape by modifying the boundary of a device with a pre-specified topology. We consider boundary shape optimization of acoustic horns in loudspeakers and brass wind instruments. A horn is an interfacial device, situated between a source, such as a waveguide or a transducer, and surrounding space. Horns are used to control both the transmission properties from the source and the spatial power distribution in the far-field (directivity patterns).

Transmission and directivity properties of a horn are sensitive to the shape of the horn flare. By changing the horn flare we design transmission efficient horns. However, it is difficult to achieve both controllability of directivity patterns and high transmission efficiency by using only changes in the horn flare. Therefore we use simultaneous shape and so-called topology optimization to design a horn/acoustic-lens combination to achieve high transmission efficiency and even directivity. We also design transmission efficient interfacial devices without imposing an upper constraint on the mouth diameter. The results demonstrate that there appears to be a natural limit on the optimal mouth diameter.

We optimize brasswind instruments with respect to its intonation properties. The instrument is modeled using a hybrid method between a one-dimensional transmission line analogy for the slowly flaring part of the instrument, and a finite element model for the rapidly flaring part.

An experimental study is carried out to verify the transmission properties of optimized horn. We produce a prototype of an optimized horn and then measure the input impedance of the horn. The measured values agree reasonably well with the predicted optimal values.

The finite element method and the boundary element method are used as discretization methods in the thesis. Gradient-based optimization methods are used for optimization, in which the gradients are supplied by the adjoint methods.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2010. 42 p.
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 709
shape optimization, design optimization, acoustic wave propagation, Helmholtz equation, Boundary Element Method, Finite Element Method, inverse problems, adjoint method, gradient-based optimization
National Category
Computational Mathematics
Research subject
Scientific Computing
urn:nbn:se:uu:diva-112549 (URN)978-91-554-7707-3 (ISBN)
Public defence
2010-02-26, Room 2446, Polacksbacken, Lägerhyddsvägen 2D, Uppala, 10:15 (English)
Available from: 2010-02-03 Created: 2010-01-14 Last updated: 2011-10-26Bibliographically approved

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Udawalpola, Rajitha
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