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- W2770581359 abstract "Exact solutions for free vibration of functionally graded (FG) orthotropic circular cylindrical shells embedded in an elastic medium with arbitrary classical boundary conditions are obtained by a Hamiltonian-based method. Based on the Reissner shell theory and symplectic mathematics, all six possible general solutions instead of trial functions in classical inverse or semi-inverse methods are determined analytically. The determination of natural frequency and vibration mode shape is reduced to an eigen-problem of the Hamiltonian matrix in symplectic space. Numerical examples are provided to verify the validity of the present method. Some new results are also given." @default.
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- W2770581359 date "2017-11-01" @default.
- W2770581359 modified "2023-10-16" @default.
- W2770581359 title "A new Hamiltonian-based approach for free vibration of a functionally graded orthotropic circular cylindrical shell embedded in an elastic medium" @default.
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- W2770581359 doi "https://doi.org/10.1016/j.tws.2017.09.003" @default.
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