Free vibration of orthotropic super-elliptical plates on intermediate supports

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.