Coupled vibration feature analysis for a fluid-filled cylindrical shell with a circumferential surface crack

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (23) : 71-77.

JIN Chaochao1,2,3,ZHU Xiang1,2,3,LI Tianyun1,2,3,FANG Min1,2,3

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Abstract

The coupled vibration characteristics of a fluid-filled finite-length cylindrical shell with a circumferential surface crack were studied.Introducing a line spring model to simulate the circumferential surface crack in the classical thin shell theory,according to ideal fluid’s Helmholtz wave equation in cylindrical coordinates,applying the acoustic load of fluid on the shell based on the wave propagation method,and then the fluid-filled cylindrical shell’s coupled vibration control equation was built.The relationship between natural frequencies and axial wave-number of the cylindrical shell was solved with an optimal iterative method.Furthermore,the cylindrical shell’s natural frequencies were iteratively computed to satisfy the specific boundary condition and the continuity condition of crack position.The computation model was degenerated into 3 cases of a perfect cylindrical shell in vacuum,a cracked one in vacuum and a perfect fluid-filled one.The computation results of 3 cases were compared with those published in literature and calculated using the FEM,respectively.All results agreed well with each other to verify the correctness of the proposed method.Finally,the effects of crack depth and its position on the cylindrical shell’s natural frequencies were examined.

Key words

coupled vibration analysis / fluid-filled cylindrical shell / circumferential surface crack / line-spring model

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JIN Chaochao1,2,3,ZHU Xiang1,2,3,LI Tianyun1,2,3,FANG Min1,2,3. Coupled vibration feature analysis for a fluid-filled cylindrical shell with a circumferential surface crack[J]. Journal of Vibration and Shock, 2018, 37(23): 71-77

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