In:
The Journal of the Acoustical Society of America, Acoustical Society of America (ASA), Vol. 45, No. 1_Supplement ( 1969-01-01), p. 329-329
Abstract:
An analysis is made for determination of the number of eigenvalues and the eigenvalue density of conical shells over a wide range of cone geometries. The Galerkin method is used to determine a frequency equation. Values perdicted by this closed-form solution show favorable agreement with experimental results available in the literature. The frequency equation is then expressed in terms of wavenumbers and the k-space geometry is obtained. A numerical integration procedure for determination of the cumulative number of modes from the k space is developed. A comparison is made of values obtained from an actual count of the eigenvalues predicted by the frequency equation and this procedure shows a high degree of correlation with the k-space integration technique. Using finite differences in conjunction with the k-space integration, the eigenvalue density is obtained. The influence of variations in cone angle, thickness, and truncation are found to be significant. The results of the study are normalized with respect to geometric parameters and expressions covering a wide range of configurations are presented in graphical form. [This work is sponsored by NASA, Langley Research Center.]
Type of Medium:
Online Resource
ISSN:
0001-4966
,
1520-8524
Language:
English
Publisher:
Acoustical Society of America (ASA)
Publication Date:
1969
detail.hit.zdb_id:
1461063-2
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