The Marguerre equations which govern the moderately large deflection of isotropic plates with small initial curvature are extended to the dynamic case of orthotropic stiffened rectangular plates by employing a smeared out procedure. Simply supported boundary conditions with movable or immovable in-plane edge conditions and the initial deflection with double curvature are assumed. The modal equation for the nonlinear, large amplitude free vibration is established on the basis of a singlemode expression by using the Galerkin's method. Numerical results concerning the square plates with various combinations of stiffening parameters, initial deflections and in-plane edge conditions are obtained. The present results, when particularized for certain cases, agree well with those available in the literature.
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