Vibration Characteristics Analysis of Periodic Cylindrical Shells-Based on the Transfer Matrix Method

JU Haiyan; FU Mingfu; XU Bin

doi:10.21656/1000-0887.380090

Volume 39 Issue 3

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JU Haiyan, FU Mingfu, XU Bin. Vibration Characteristics Analysis of Periodic Cylindrical Shells-Based on the Transfer Matrix Method[J]. Applied Mathematics and Mechanics, 2018, 39(3): 278-285. doi: 10.21656/1000-0887.380090

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Vibration Characteristics Analysis of Periodic Cylindrical Shells-Based on the Transfer Matrix Method

doi: 10.21656/1000-0887.380090

JU Haiyan^1,2,
FU Mingfu^1,2,3,
XU Bin²

¹School of Civil Engineering and Architecture, Nanchang University, Nanchang 330031, P.R.China;²Jiangxi Provincial Engineering Research Center of the Special Reinforcement and Safety Monitoring Technology in Hydraulic & Civil Engineering, Nanchang Institute of Technology, Nanchang 330099, P.R.China;³Gongqing Institute of Science and Technology,Gongqing, Jiangxi 332020, P.R.China

Funds: The National Natural Science Foundation of China（51269021；51569016)

Received Date: 2017-04-10
Rev Recd Date: 2018-01-15
Publish Date: 2018-03-15

Abstract

Abstract

Based on the phononic crystal theory and the Love shell theory, the radial axisymmetric vibration equations for cylindrical shells were established. The dynamic stiffness matrix of each cell in the periodic cylindrical shell was obtained, and the transfer matrix between adjacent cells was derived with the transfer matrix method. The effects of the elastic modulus and geometric sizes on the wave propagation characteristics were analyzed according to the numerical examples. Numerical results show that there exist band gaps and pass gaps during the process of wave propagation in periodic cylindrical shells; the change of the length ratio has a significant effect on the amplitude, the width and the number of the band gaps. Therefore, it is possible to regulate the wave propagation characteristics of the structure through adjustment of the structural dimensions, which provides a new way for the design and vibration control of the structure.
- Love shell theory,
- transfer matrix method,
- energy band,
- vibration characteristic

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References(16)

References

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