Abstract
Theoretical analyses are presented for free flexural vibrations of eccentrically stiffended rectangular plates with a small initial deflection. Clamped boundary conditions with movable or immovable in-plane edges and the initial deflection with double curvature are assumed. The modal equation is established on the basis of the Galerkin method combined with a multiple-mode approximation and the solution for free nonlinear vibration is obtained by applying the method of succesive approximation. Numerical results for stiffened square plates illustrate the influences of stiffening parameters, initial deflections, amplitude and in-plane edge conditions on the natural frequencies.
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