A hybrid scheme for bore design optimization of a brass instrument

Noreland, J. O. Daniel; Udawalpola, M. Rajitha; Berggren, Martin

doi:10.1121/1.3466871

Cited by 12 publications

(4 citation statements)

References 18 publications

(14 reference statements)

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“…Our method can be applied to customize wind instruments, although that is not a primary goal of our work. Related to this aspect, existing work has explored the optimization of the bore shapes for brasswind instruments [Kausel 2001;Noreland et al 2010]. Similar to our optimization target, Braden et al [2009] use the input impedance of the instrument in the objective function to optimize bore shapes.…”

Section: Transmission Line Matrixmentioning

confidence: 99%

Acoustic voxels

Levin

Matusik

et al. 2016

ACM Trans. Graph.

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Section: Transmission Line Matrixmentioning

confidence: 99%

Acoustic voxels

Levin

Matusik

et al. 2016

ACM Trans. Graph.

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“…Simulations were performed on geometries constructed after a Courtois bass trombone where the bore before the flare was approximated by a cylindrical tube. Another recent model discussed by Noreland et al in [21] introduces a hybrid scheme to model wave propagation in brass musical instruments. For the flare region, a two-dimensional (2D) finite-element method was considered where the inviscid Helmholtz equation was used.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional simulations of sound propagation in a trumpet with accurate mouthpiece shank geometry

Resch¹,

Krivodonova²,

Vanderkooy³

2016

Preprint

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The length and bore geometry of musical instruments directly influences the quality of sound that can be produced. In brass instruments, nonlinear effects from finite-amplitude wave propagation can lead to wave distortion giving sounds a brassy timbre [3,5,14,20,26]. In this paper, we propose a threedimensional model to describe nonlinear wave propagation in a trumpet and investigate the importance of the mouthpiece shank geometry. Time pressure waveforms corresponding to B b 3 and B b 4 notes were recorded at the mouthpiece shank and used as inputs for our model. To describe the motion of compressible inviscid fluid, we numerically solved the compressible Euler equations using the discontinuous Galerkin method. To validate our approach, the numerical results were compared to the recorded musical notes outside the bell of the trumpet. Simulations were performed on computational trumpets where different bore geometries were considered. Our results demonstrate that the shape of the narrow region near mouthpiece greatly influences the wave propagation and accuracy of the trumpet model.

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“…Numerous authors have discussed possible improvements of clarinets, in particular Benade [5], but without using numerical optimization. Brass instruments have indeed been studied by optimization [6,7,8], but in this case the free parameters relate to the bore of the instrument and not to the geometry of lateral holes.…”

Section: Introductionmentioning

confidence: 99%

The Logical Clarinet: Numerical Optimization of the Geometry of Woodwind Instruments

Noreland¹,

Kergomard²,

Laloë³

et al. 2013

Acta Acustica united with Acustica

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The tone hole geometry of a clarinet is optimized numerically. The instrument is modeled as a network of one dimensional transmission line elements. For each (non-fork) fingering, we first calculate the resonance frequencies of the input impedance peaks, and compare them with the frequencies of a mathematically even chromatic scale (equal temperament). A least square algorithm is then used to minimize the differences and to derive the geometry of the instrument. Various situations are studied, with and without dedicated register hole and/or enlargement of the bore. With a dedicated register hole, the differences can remain less than 10 musical cents throughout the whole usual range of a clarinet. The positions, diameters and lengths of the chimneys vary regularly over the whole length of the instrument, in contrast with usual clarinets. Nevertheless, we recover one usual feature of instruments, namely that gradually larger tone holes occur when the distance to the reed increases. A fully chromatic prototype instrument has been built to check these calculations, and tested experimentally with an artificial blowing machine, providing good agreement with the numerical predictions.

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A hybrid scheme for bore design optimization of a brass instrument

Cited by 12 publications

References 18 publications

Acoustic voxels

Acoustic voxels

Three-dimensional simulations of sound propagation in a trumpet with accurate mouthpiece shank geometry

The Logical Clarinet: Numerical Optimization of the Geometry of Woodwind Instruments

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