Package wiat :: Package MM :: Module Radiation :: Class RadiationFlanged

Class RadiationFlanged

Class implementing the Zorumski multimodal radiation impedance matrix.

[1] N. Amir, V. Pagneux, and J. Kergomard, "A study of wave propagation in varying cross-section waveguides by modal decomposition. Part II. Results," The Journal of the Acoustical Society of America, vol. 101, May. 1997, pp. 2504-2517.

[2] W.E. Zorumski, "Generalized radiation impedances and reflection coefficients of circular and annular ducts," The Journal of the Acoustical Society of America, vol. 54, Dec. 1973, pp. 1667-1673.

[3] Jonathan Kemp, "Theoretical and experimental study of wave propagation in brass musical instruments", Ph.D. Thesis, University of Edinburgh, 2002

Instance Methods

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__init__(self, diameter, number_of_modes=15, do_interpolation=True)

source code

__call__(self, N, k)

source code

Phi(self, r, i)

source code

D(self, tau, i, k)
from [3] eq.

source code

integrand_Z_ij_real(self, phi, i, j, k)

source code

integrand_Z_ij_imag(self, xhi, i, j, k)

source code

Z_ij(self, i, j, k)

source code

calculateZnm(self, ks, number_of_modes=15)

source code

Class Variables

[hide private]

N = 15

Method Details

[hide private]

D(self, tau, i, k)

source code

from [3] eq. 4.1