Structural elements square measure typically subjected to dynamic loadings in their operating life. Very often these components may have to perform in a severe dynamic environment wherein the maximum damage results from the resonant vibration. Susceptibility to fracture of materials because of vibration is set from stress and frequency. The maximum amplitude of the vibration should be within the restricted for the protection of the structure. Hence vibration analysis has become very important in designing a structure to know in advance its response and to take necessary steps to control the structural vibrations and its amplitudes. The non-linear or large amplitude flexural vibration of plates has received considerable attention in recent years because of the great importance and interest attached to the structures of low flexural rigidity. These easily deformable structures vibrate at large amplitudes. The solution obtained supported the lineage models give no over a primary approximation to the particular solutions. The increasing demand for more realistic models to predict the responses of elastic bodies combined with the availability of super computational facilities has enabled researchers to abandon the linear theories in favor of non-linear methods of solutions. In the present investigation, large amplitude vibration of several rectangular and skew plates has been studied using an iso-parametric quadratic plate bending element for the finite element method. The formulations have incorporated the shear deformation of the plates. Plates with various boundary conditions have been considered in the study. The effect of variations in the Poisson’s ratio, thickness parameter & plate aspect ratio on the non-linear frequency ratio has also been included in the research.