Abstract: To begin with, in this paper the governing equations of the problem of the non linear unsymmetrical bending for cylindrically orthotropic circular thin plate with variable thickness are derived. By using "the method of two-variable" and introducing four Small parameters. the problem of the non-linear unsymmetrical bending for cylindrically orthotropic circular thin plate with linear variable thickness are studied,and the uniformly valid asymptotic solution of Nth-order for ε₁ and Mth-order for ε₂ are oblained.

Key words: orthotropic circular plate with variable thickness, non-linear unsymmetrical bending, method of two-variable, the uniformly valid asymptotic solution