In the nano industry and manufacturing related tools, Small-scale plates have wide applications Therefore, the analysis of mechanical behavior of nanoplates is to be considered, which can not be expressed by Eringn nonlocal theory and to investigate surface effects, the Gurtin-Murduch theory has been used in structural equations extraction. The finite difference method in polar coordinates is used to solve the extracted equations. Finally, with the coding in MATLAB software, the algebraic equation system is solved with finite difference solution method and the effect of different parameters on the maximum deflection ratio in different states has been studied; The effect of nonlocal parameters, surface residual stress, elastic surface modulus, symmetric and asymmetric loading, external diameter, internal diameter in annular nanoplates and different boundary conditions have been studied. Keywords: Circular Nanoplates, Surface effects, Eringn nonlocal theory, Finite difference method in polar coordinates.
