Acoustics of Musical Instruments

Boutillon, Xavier

doi:10.1007/978-1-4939-3679-3

Cited by 98 publications

(110 citation statements)

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“…Following Ref. [19], the visco-thermal boundary layer losses are taken into account by means of the first-order approximation of the propagation constant Γ…”

Section: Example: the Cylindrical Pipementioning

confidence: 99%

“…The value of the characteristic impedance is assumed to be the lossless value Z c = ρc/(πr 2 ) as explained in [19]. In Eq.…”

Section: Example: the Cylindrical Pipementioning

confidence: 99%

“…The two previous steps lead to the function R extrap (ω) = −q even (ω)e jq odd (ω) (19) that is hermitian symmetric and is used in the [0, F min ] frequency range. In order to overcome noisy measurements in the pass band and a possible too high frequency resolution (i.e., ∆ω too small, leading to huge dimensions of the matrix B ), a smoothing downsampling is desirable in the pass band.…”

Section: Analysis Of An Input Impedance With Missing Data In the Lowmentioning

confidence: 99%

“…The literature offers expressions for the transfer function between the velocity at the open end of a waveguide and the radiated pressure in free space only for academic configurations: the plane and spherical wave approximations (see, e.g., Refs. [19] and [39], respectively), the radiation of a semi-infinite circular pipe that is either unflanged [40], infinitely flanged [41], or partially flanged [42]. The case of waveguides with several orifices is even more complex as the orifices radiate in a common space and external interaction can then not be ignored.…”

Section: Appendix B Filter Used To Estimate the External Pressurementioning

confidence: 99%

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Modal analysis of the input impedance of wind instruments. Application to the sound synthesis of a clarinet

Taillard¹,

Silva

Guillemain

et al. 2018

Applied Acoustics

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Modal analysis of the input impedance of wind instruments. Application to the sound synthesis of a clarinet. Applied Acoustics, Elsevier, 2018, 141, pp.271 -280 AbstractThis paper investigates the modal analysis of wind instruments as seen from the input of their air column. Beside the treatment of analytical models, a particular emphasis is given to the analysis of measured input impedances. This requires special care because the measurements cover only a limited frequency band and are affected by some unknown errors. This paper describes how the Prony analysis and the Least Squares Complex Exponential (LSCE) classical techniques can be used in this context and how the main pitfalls can be avoided in their application. A physically acceptable method of reconstruction of the low frequency band is proposed. A technique using fictitious points in the high frequency range is described in order to ensure the passivity of the resonator in the whole frequency band. The principles of a real-time synthesis of clarinet sounds based on the modal representation of the resonator is given as an application, with a method to efficiently handle the modal representation during the transition between fingerings. A musically relevant example finally illustrates the possibilities of the modal analysis applied to wind instruments.

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“…Following Ref. [19], the visco-thermal boundary layer losses are taken into account by means of the first-order approximation of the propagation constant Γ…”

Section: Example: the Cylindrical Pipementioning

confidence: 99%

“…The value of the characteristic impedance is assumed to be the lossless value Z c = ρc/(πr 2 ) as explained in [19]. In Eq.…”

Section: Example: the Cylindrical Pipementioning

confidence: 99%

Section: Analysis Of An Input Impedance With Missing Data In the Lowmentioning

confidence: 99%

Section: Appendix B Filter Used To Estimate the External Pressurementioning

confidence: 99%

See 2 more Smart Citations

Modal analysis of the input impedance of wind instruments. Application to the sound synthesis of a clarinet

Taillard¹,

Silva

Guillemain

et al. 2018

Applied Acoustics

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show abstract

“…A complete description of the process can be found in several references. [5][6][7][8][9][10][11] The analysis indicates that the anomalous frequency components can be driven by both quadratic and cubic nonlinearities in the string, resulting in the presence of sum and difference frequencies of the transverse string resonance frequencies, as well as sum and differences of the associated harmonics.…”

Section: Introductionmentioning

confidence: 99%

The production of phantom partials due to nonlinearities in the structural components of the piano

Rokni

Neldner

Adkison

et al. 2017

The Journal of the Acoustical Society of America

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Phantom partials are anomalous overtones in the spectrum of the piano sound that occur at sum and difference frequencies of the natural overtones of the string. Although they are commonly assumed to be produced by forced longitudinal waves in the string, analysis of the sound of a piano produced by mechanically vibrating the soundboard while all the strings are damped indicates that phantom partials can occur in the absence of string motion. The magnitude of the effect leads to the conclusion that nonlinearity in the non-string components may be responsible for some of the power in the phantom partials.

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A combinatorial model reduction method for the finite element analysis of wind instruments

Jeanneteau,

Oumaziz,

Passieux

et al. 2024

Numerical Meth Engineering

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A high‐fidelity finite element model is proposed for the complete simulation of the time‐harmonic acoustic propagation in wind instruments. The challenge is to meet the extremely high accuracy required by professional musicians, in a complex domain, for all fingerings and over a wide frequency range, within an affordable computational time. Several modelling assumptions are made to limit the numerical complexity of the problem while preserving all relevant physics. A dedicated high‐performance solution strategy is also proposed, based on partitioning, condensation and model order reduction, exploiting the combinatorial nature of wind instrument fingerings. Finally, the proposed approach is applied to the simulation of an alto saxophone. An order of magnitude reduction in memory and computational cost is achieved.

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Acoustics of Musical Instruments

Cited by 98 publications

References 0 publications

Modal analysis of the input impedance of wind instruments. Application to the sound synthesis of a clarinet

Modal analysis of the input impedance of wind instruments. Application to the sound synthesis of a clarinet

The production of phantom partials due to nonlinearities in the structural components of the piano

A combinatorial model reduction method for the finite element analysis of wind instruments

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