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Free and forced vibration of a submerged finite cylindrical shell below the free surface

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Free and forced vibration of a submerged finite cylindrical shell below the free surface is studied. Based on the energy functional variation principle, the image method and the Graf's addition theorem, the structure-fluid coupling vibration equation for the cylindrical shell is established. The reliability and efficiency of the proposed analytical method are validated by comparison with the finite element numerical method. It is found that the free surface increases the natural frequencies of the same orders and the vibration characteristics of the cylindrical shell below the free surface tends to be the same as those in infinite fluid when the submerged depth exceeds severalfold radiuses. The work provides more understanding on the vibration behavior of a finite cylindrical shell immersed in finite water depths.

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Document Type: Research Article

Affiliations: School of Naval Architecture and Ocean Engineering, Huazhong University of Science & Technology, Wuhan 430074, China; Hubei Key Laboratory of Naval Architecture & Ocean Engineering Hydrodynamics, Wuhan 430074, China

Publication date: 07 December 2017

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