Numerical calculation of flute impedances and standing waves
نویسنده
چکیده
The purpose of this study was to investigate a numerical method for calculating impedances and standing wave patterns of flute structures. To this end, the physical dimensions of flute joints and tone holes were used to compute impedance and standing waves as a function of frequency for several different fingerings. Numerically computed resonance frequencies for head joint, middle and foot joints, and complete flute are compared to experimentally measured values. Computed pressure standing wave patterns for two fingerings of A 6 are compared to experimental values. Reasons for the observed iscrepancies between the predicted and experimental frequencies are discussed.
منابع مشابه
Wave propagation theory in offshore applications
A frequency-wavenumber-domain formulation is presented in this paper for calculation of the Green's functions and wave propagation modes in a stratified fluid body underlain by a layered viscoelastic soil medium. The Green's functions define the solid and fluid displacements and fluid pressures due to uniform disk loads acting in either the soil or fluid media. The solution is in the frequency ...
متن کاملDamping of visco-resistive Alfven waves in solar spicules
Interaction of Alfven waves with plasma inhomogeneity generates phase mixing which can cause the dissipation of Alfven waves. We investigated the dissipation of standing Alfven waves due to phase mixing at the presence of steady flow and sheared magnetic field in solar spicules. Moreover, the transition region between chromosphere and corona was considered. Our numerical simulation showed that ...
متن کاملNumerical calculation of ring coupling impedance for synchrotron accelerators SIS 18 and SIS 100
where E is the longitudinal electric field and Ex,y and By,x are the transverse electric and magnetic fields excited by the beam. Coupling impedances can be determined through bench measurement [1], analytically [2] or numerically by solving a discretized form of Maxwell’s equations [3]. This work focuses on finding suitable methods for the numerical calculation of coupling impedances for the r...
متن کاملCalculation of Electromagnetic Wave Scattering by a Small Impedance Particle of an Arbitrary Shape
Scattering of electromagnetic (EM) waves by small (ka ≪ 1) impedance particle D of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic formula for the scattered field is derived. The scattered field is of the order O(a2−κ), where κ ∈ [0, 1) is a number. This field is much larger than in the case of Rayleigh-type scattering. The numerical results demonstrate a wide range o...
متن کاملCalculation of the steady-state oscillations of a flute model using the orthogonal collocation method
In this paper we exploit the method of numerical continuation combined with orthogonal collocation to determine the steady-state oscillations of a model of flute-like instruments that is formulated as a nonlinear neutral delay differential equation. The delay term in the model causes additional complications in the analysis of the behaviour of the model, in contrast to models of other wind inst...
متن کامل