关键词: orthotropic rectangular thin plate with variable thickness, four clampled edge, nonlinear unsymmetrical bending, method of modified two-variable, method of mixing perturbation, uniformly valid asymptotic solution, shallow shell, boundary layer, singular perturbation

Abstract: A problem of practical interest for nonlinear axisymmetrical stability of a truncated shallow spherical shell of the large geometrical parameter with an articulated external edge and a nondeformable rigid,body at the center under compound loads is investigated in this paper.By using modified method of multiple scales,the uniformly valid asymptotic solutions of this boundary value problem are obtained when the geometrical parameter k is large.

Key words: orthotropic rectangular thin plate with variable thickness, four clampled edge, nonlinear unsymmetrical bending, method of modified two-variable, method of mixing perturbation, uniformly valid asymptotic solution, shallow shell, boundary layer, singular perturbation