Method of Perturbation Applied to the Vibration Problem of a Circular Membrane of Varying Density
作者:
Ratneswar Sen Gupta,
Ranjit Ghosh,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1964)
卷期:
Volume 36,
issue 6
页码: 1118-1120
ISSN:0001-4966
年代: 1964
DOI:10.1121/1.1919169
出版商: Acoustical Society of America
数据来源: AIP
摘要:
In this paper, a treatment for determining the eigenfunctions and eigenvalues for the vibration of a circular membrane with fixed boundary and density varying as exp[− εγ2] is made by the method of perturbation, and the expressions for perturbed eigenvalues and eigenfunctions are obtained up to second‐order terms. The first‐order perturbed term of the eigenvalue is effected by numerical integration.
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