Vibration of Symmetrically Laminated Thick Super Elliptical Plates

Comparisons of displacement-based theories for waves and vibrations in laminated and sandwich composite plates

“…(20) has been evaluated explicitly and is presented in the appendix for various displacement models discussed above for ready reference and also for ease in computer implementation.…”

“…First order Reissner/Mindlin plate theory was utilized to incorporate the effects of transverse shear deformation and rotary inertia. Chen et al [20] analyzed free vibrations of symmetrically laminated thick plates with rounded corners. The plate perimeter has been defined by a super elliptic function with a power defining the shape ranging from an ellipse to a rectangle.…”

Nonlinear Bending and Thermal Post-buckling Analysis of FGM Super Elliptical Thin Plates

“…Super elliptical plates which are defined by shapes between an ellipse and a rectangle have a wide range of use in engineering applications. Some studies [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] for linear behaviors of super elliptical plates are available in the literature. Wang et al [1] presented accurate frequency and buckling factors for super elliptical plates with either simply supported or clamped edges by using Rayleigh-Ritz method.…”

“…Lim et al [2] investigated free vibration of doubly connected super-elliptical laminated composite plates. Then Chen et al [3] reported a free vibration analysis of laminated thick super elliptical plates. Liew and Feng [4] studied threedimensional free vibration analysis of perforated super elliptical plates.…”

Static analysis of point-supported super-elliptical plates

“…Super-elliptical plates include a large variety of plate shapes ranging from an ellipse to a rectangle. Since the present literature is basically focused on the approximate solutions of vibration and buckling analysis [6,14,15,25,28], the current work is thus motivated by the lack of contributions on the static analysis of super-elliptical plates. The modeling in this study is based on the KLPT.…”