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- W2169176958 abstract "The governing differential equations and the associated boundary conditions (simplysupported at both ends and clamped-clamped) are derived for composite laminates with arbitrary ply orientations using the Von Karman geometrical nonlinearities. A Galerkin approximation is used to discretize the partial differential equations of motion and obtain a set of nonlinearly coupled ordinary differential equations governing the time evolution of the response to transverse harmonic excitations. The resulting Duffing expressions produce cubic and quadratic nonlinearities for the simply-supported case and cubic nonlinearities only for the clamped-clamped case. Finally, the equations are solved with the Method of Multiple of Scales for the primary resonance. Superharmonic and subharmonic analyses are only investigated on the cubic nonlinearities. The Classical Laminated Plate Theory and the First-order Shear Deformation Theory are compared." @default.
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- W2169176958 date "2007-04-23" @default.
- W2169176958 modified "2023-10-18" @default.
- W2169176958 title "Nonlinear Forced Vibrations of Unsymmetrically Laminated Plates under Cylindrical Bending" @default.
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- W2169176958 doi "https://doi.org/10.2514/6.2007-2112" @default.
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