Vibration and buckling of super elliptical plates

Abstract

This paper is concerned with the vibration and buckling of a new class of plates, the periphery shape of which is defined by a super elliptical function. Such a plate shape has practical applications, as the advantageous curved corners help to diffuse stress concentrations. The loading considered for the buckling problem is that of in-plane uniform pressure along the periphery. Accurate frequency and buckling factors are tabulated for such plates with either simply supported or clamped edges. The solutions are obtained using the pb - 2 Rayleigh-Ritz method.