This study is conducted to analyze the buckling behavior of elliptical homogeneous plates with a non-concentric elliptic hole subjected to uniform radial loading under different boundary conditions using Rayleigh-Ritz method. The geometry of plate with a non-concentric elliptic hole through a proper mapping transfers to natural coordinate system. Consequently, in-plane and out-of-plane displacement fields with respect to natural coordinates system are expressed using the Hierarchical, Hermitian, Lagrange and Fourier series shape functions. The Kirchhoff theory is used to formulate the problem in buckling condition. Due to the asymmetry in geometry, the in-plane solution is required to find the stress distribution. In terms of effects of the elliptic hole eccentricity, results show that the hole eccentricity has an insignificant effect on the critical buckling load factor in simply supported boundary conditions cases.

buckling, elliptical plate, non-concentric hole, shape function, Rayleigh-Ritz method.