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• W2911720026 abstract "The most important purpose of the present work is to propose an analytical approach for solving the governing characteristic equations of the free vibrations problem of an orthotropic cylindrical shell with its length much greater than its other dimensions half way along which exist a semi-elliptical surface crack. Governing equations of motion of the problem have been derived using classical shell theories and simplified with regard to the Donell–Mushtari–Vlasov (DMV) theory. In comparison to shell dimensions, crack size is considered to be very small, which would minimize effects of the curvature in this study. Equations have been extracted for two different types of cracks: circumferential and axial cracks. In both cases, effects of the presence of crack on overall stiffness of the structure have been included in governing motion equations utilizing some crack compliance coefficients which have been calculated through Line Spring Model (LSM). A closed form solution for the characteristic equations of the problem has been introduced using Hamilton's principle and separation of variables for the simply supported shells. A comparison has been made between obtaining results through the proposed model and those from previous studies and Finite Element model. Last but not least, effects of the various shells, materials and the crack parameters on the fundamental natural frequency of the shell have been investigated." @default.
• W2911720026 created "2019-02-21" @default.
• W2911720026 creator A5040991930 @default.
• W2911720026 creator A5068630684 @default.
• W2911720026 date "2019-04-01" @default.
• W2911720026 modified "2023-10-14" @default.
• W2911720026 title "Analytical solution for free vibration of cracked orthotropic cylindrical shells" @default.
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• W2911720026 doi "https://doi.org/10.1016/j.ijmecsci.2019.02.004" @default.
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