Uniformly valid asymptotic solutions of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate of four clamped edges with variable thickness

By using “the method of modified two-variable”, “the method of mixing perturbation” and introducing four small parameters, the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with linear variable thickness is studied. And the uniformly valid asymptotic solution of Nth-order for ɛ₁ and Mth-order for ɛ₂ of the deflection functions and stress function are obtained. Foundation item: the Qingdao Natural Science Foundation of China Biography: HUANG Jia-yin (1956≈), Professor, Master