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《Journal of Vibration and Shock》 2015-22
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Free vibration of joined and orthogonally stiffened cylindrical-spherical shells

LI Zheng-liang;HU Hao;YU Wei;College of Civil Engineering,Chongqing University;  
The free vibration of a joined,smooth and orthogonally stiffened cylindrical-spherical shell under various boundary conditions was studied. Based on the simplification of the joined part,the spherical shell is of free boundary condition and the cylindrical shell is of simply supported boundary condition. The Rayleigh-Ritz method was applied to solve the natural frequencies of the structure according to the Flügge's thin shell theory. The natural frequencies were calculated and compared with those by the finite element software ANSYS to confirm the applicability and validity of the simplification. The effects of the shallowness of the spherical shell and the length-to-radius ratio of the joined shell on the free vibrational behavior of the joined structure were investigated. The results indicate that as the semi-angle Φ of the sphere increases,the natural frequencies decrease. As the length-to-radius ratio L / Rcincreases,the influence of the semiangle Φ of the sphere on the natural frequencies decreases,the natural frequencies decrease gradually and their reducing magnitude descends.
【Fund】: 国家自然科学基金项目(51278511)
【CateGory Index】: O323
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