Velocity Dispersion of Isotropic Rods of Square Cross Section Vibrating in the Lowest‐Order Longitudinal Mode
作者:
R. E. Booker,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1969)
卷期:
Volume 45,
issue 5
页码: 1284-1286
ISSN:0001-4966
年代: 1969
DOI:10.1121/1.1911605
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The velocity dispersion of the first‐order longitudinal mode of two isotropic 24STaluminum rods of square and circular cross sections has been investigated and the results compared with the experimental results of Morse and the theory of Nigro. It is shown that the theory of Nigro does not adequately account for the lowest‐order velocity dispersion in a square rod. Morse observed that the velocity dispersion curves of a square and of a circular rod coincide as a function of diameter‐to‐wavelength ratio, provided the equivalent diameter of the square rod is assumed to be 1.13 times the thickness of the rod. An equivalent diameter of 1.155 times the thickness of the square rod is shown to be superior for the present experimental results, as it ensures almost full coincidence of the two dispersion curves over the full range of diameter‐to‐wavelength ratio.
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