The problem of the non-linear unsymmetrical bending for cylindrically orthotropic circular thin plate with variable thickness

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 ɛ₁ and Mth-order for ɛ₂ are obtained.