Non-linear bending analysis of super elliptical thin plates

摘要

In this paper, non-linear bending analysis is first presented for super elliptical thin plates with simply supported edge and clamped edge based on classical plate theory. Approximate solutions of super elliptical thin plates are obtained by Ritz method, convergence studies are discussed, and the validity can be confirmed by comparison with related researchers' results. It can be observed that the characteristics of non-linear bending are significantly influenced by different boundary conditions, ratio of major to minor axis, as well as the power of the super ellipse.