Free vibration of orthotropic super-elliptical plates on intermediate supports

Abstract

Free vibration analysis of rectilinearly orthotropic super-elliptical plates of uniform thickness was investigated by the Ritz method. Various plate shapes ranging from an ellipse to a rectangle with rounded corners were considered for three types of support configurations: (1) completely free plate, (2) point-supported plate, and (3) plate supported along multiple concentric circular ring supports. The results were compared with those of elliptical and rectangular plates where possible and good agreement was obtained. (C) 2009 Elsevier B.V. All rights reserved.