Different schemes are examined for vibration analysis of elastically supported composite plate problems. Formulation of the problem is based on a first order transverse shear theory. Investigations are made over Winkler - Pasternak foundation model. Examined schemes are based on polynomial, sinc, discrete singular convolution differential quadrature methods. Numerical analysis is implemented to explore influence of different computational characteristics on convergence and accuracy of the obtained results. Further a parametric study is introduced to investigate the influence of elastic and geometric characteristics of the vibrated plate, on results.