Asymmetric free vibrations of laminated annular cross-ply circular plates including the effects of shear
deformation and rotary inertia: spline method |
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Authors: | K K Viswanathan Kyung Su Kim Jang Hyun Lee |
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Affiliation: | (1) School of Civil Engineering, National Technical University of Athens, Zografou Campus, GR-157 80 Athens, Greece |
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Abstract: | Asymmetric free vibrations of annular cross-ply circular plates are studied using spline function
approximation. The governing equations are formulated including the effects of shear deformation and rotary
inertia. Assumptions are made to study the cross-ply layered plates. A system of coupled differential
equations are obtained in terms of displacement functions and rotational functions. These functions are
approximated using Bickley- type spline functions of suitable order. Then the system is converted into
the eigenvalue problem by applying the point collocation technique and suitable boundary conditions. Parametric
studies have been made to investigate the effect of transverse shear deformation and rotary inertia on frequency
parameter with respect to the circumferential node number, radii ratio and thickness to radius ratio for
both symmetric and anti-symmetric cross-ply plates using various types of material properties. |
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