1. Vibration Characteristics Research of Finite Cylindrical Shells Semi-Submerged
- Author
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Yu Yue Miao, Tian Yun Li, Xiang Zhu, and Wen Jie Guo
- Subjects
Physics ,Coupling ,Shell (structure) ,020101 civil engineering ,Geometry ,02 engineering and technology ,General Medicine ,Mechanics ,01 natural sciences ,010305 fluids & plasmas ,0201 civil engineering ,Vibration ,Variational principle ,0103 physical sciences ,Boundary value problem ,Displacement (fluid) ,Fourier series ,Energy functional - Abstract
A significant amount of research on the vibration and sound radiation of the cylindrical shell has been carried out and reported. The cylindrical shell was usually assumed to be submerged in an infinite fluid. However, the fluid region surrounding the cylindrical shell is bounded. Free vibration and forced vibration characteristics of finite cylindrical shells semi-submerged are studied in this paper, based on energy functional variational principle. The combined form of the triangular series and the Fourier series is used for the displacement of the cylindrical shell, then the orthogonality can be used to eliminate the other two directions after the variation, and only the radial displacement is kept. The relationships between the amplitudes of fluid load and the amplitudes of the radial displacement are established by the orthogonal processing of the continuous conditions of the solid-liquid coupling contact surface and the boundary conditions of the free liquid surface. Finally, the fluid structure coupling control equation is obtained. The results show that the method is correct and effective, in addition, providing a new thought for solving similar problem.
- Published
- 2017
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