積層複合一般回転殻と円筒殻からなる回転容器の振動

概要

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Free vibrations are analyzed for a rotating vessel consisting of a thin laminated composite shell of revolution with a constant meridional curvature and thin laminated composite circular cylindrical shells. Based on the classical lamination shell theory, the equations of motion and the boundary conditions for the rotating shell of revolution and circular cylindrical Shell are obtained from the Stationary conditions of each Lagrangian of vibration, of the Shell of revoiution and the circular cylindrical shell. The equations of motion are solved exactly by using a power series expansion for symmetrically laminated cross-ply shells. The Lagrangian of the rotating vessel is expressed by sum of each Lagrangian of the shell of revolution and circular cylindrical shell. The natural conditions of continuity between the shell of revolution and the circular cylindrical shell are obtained from the stationary condition of the Lagrangian for the vessel considering the geometrical conditions of continuity. The natural frequencies and the mode shapes of the vessel with both ends clamped are presented showing their variations with rotating angular velocity, number of laminae and other Parameters.
一般社団法人日本機械学会の論文
1999-02-25