A Numerical Free Vibration Analysis of Annular Elliptic Plates
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 1 January 2005
Abstract
A numerical method is presented in this paper for the free vibration analysis of circular and elliptical first order shear deformable plates. In this method, the ellipse is mapped into a circle and then the circular geometry of the plate is mapped using parabolic interpolation function of natural coordinates and eight nodal points of prescribed coordinates. The displacement fields are defined by a set of relatively very high order interpolation functions and for the displacement degrees of freedom a set of nodal points are defined separate from those of the geometric interpolation. Numerical results for the fully clamped elliptical plate are obtained and compared with the available data from the literature. Additional results for the simply 1‐supported complete elliptical plate and the annular elliptical plates subjected to various boundary conditions are presented and discussed.
Keywords
Citation
Singh, A.V. (2005), "A Numerical Free Vibration Analysis of Annular Elliptic Plates", Multidiscipline Modeling in Materials and Structures, Vol. 1 No. 1, pp. 53-62. https://doi.org/10.1163/1573611054455166
Publisher
:Emerald Group Publishing Limited
Copyright © 2005, Emerald Group Publishing Limited