Solutions to Equations of Vbrations of Spherical and Cylindlical Shells

Ding Hao-jiang; Chen Wei-qiu; Liu Zhong

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Ding Hao-jiang, Chen Wei-qiu, Liu Zhong. Solutions to Equations of Vbrations of Spherical and Cylindlical Shells[J]. Applied Mathematics and Mechanics, 1995, 16(1): 1-13.

Citation:

Ding Hao-jiang, Chen Wei-qiu, Liu Zhong. Solutions to Equations of Vbrations of Spherical and Cylindlical Shells[J]. Applied Mathematics and Mechanics, 1995, 16(1): 1-13.

Citation:

Ding Hao-jiang, Chen Wei-qiu, Liu Zhong. Solutions to Equations of Vbrations of Spherical and Cylindlical Shells[J]. Applied Mathematics and Mechanics, 1995, 16(1): 1-13.

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Solutions to Equations of Vbrations of Spherical and Cylindlical Shells

1.
Zhejiang Univrrsity, Hangzhou;
2.
Beijing Instituie of Siructure & Environment Engineering, Beijing

Received Date: 1993-09-01
Publish Date: 1995-01-15

Abstract

Abstract

The governing equations of the free vibrations of spherical and cylindrical shells with a regular singularity are solved by Frobenius Series Method in the form of matrix.Considering the relationship of the roots of the indicial equation,we get somevarious expressions of solutions according to different cases.This work lays a foundation of solving certain elastic problems by analytical method.
- vibration,
- equations,
- Frobenius Sories,
- spherical shell,
- cylindrical shell

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References(2)

References

[1]	Mirsky,I.,Axisymmetric vibrations of orthotropic cylinders,J.Acoust.Soc.Am.,36(1964),2106-2112.
[2]	Cohen,H.and A.H.Shan,Free vibrations of a spherically isotropic hollow sphere,Acustica,26(1972),329-333.