Initial Values for the Integration Scheme to Compute the Eigenvalues for Propagation in Ducts
It has been found that in the integration method for calculating the eigenvalues for propagation in two-dimensional ducts with flow care must be taken not to exclude roots which in the hardwall case are at infinity. When the real part of the wall admittance is positive starting values for the integration procedure to obtain these extra eigenvalues can be obtained by a limiting case analysis. When the imaginary part of the admittance is negative it appears that all the roots can be accounted for by the usual hardwall initial values κn b = nπ. © 1977.
W. Eversman, "Initial Values for the Integration Scheme to Compute the Eigenvalues for Propagation in Ducts," Journal of Sound and Vibration, Elsevier, Jan 1977.
The definitive version is available at http://dx.doi.org/10.1016/0022-460X(77)90559-4
Mechanical and Aerospace Engineering
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© 1977 Elsevier, All rights reserved.