Buckling and Vibration of Functionally Graded Non-uniform Circular Plates Resting on Winkler Foundation
- Resource Type
- article
- Authors
- Roshan Lal; Neha Ahlawat
- Source
- Latin American Journal of Solids and Structures, Vol 12, Iss 12, Pp 2231-2258
- Subject
- Functionally graded circular plates
Buckling
Differential transform
Winkler foundation
Mechanics of engineering. Applied mechanics
TA349-359
Descriptive and experimental mechanics
QC120-168.85
- Language
- English
- ISSN
- 1679-7825
Abstract An investigation on the effect of uniform tensile in-plane force on the radially symmetric vibratory characteristics of functionally graded circular plates of linearly varying thickness along radial direction and resting on a Winkler foundation has been carried out on the basis of classical plate theory. The non-homogeneous mechanical properties of the plate are assumed to be graded through the thickness and described by a power function of the thickness coordinate. The governing differential equation for such a plate model has been obtained using Hamilton's principle. The differential transform method has been employed to obtain the frequency equations for simply supported and clamped boundary conditions. The effect of various parameters like volume fraction index, taper parameter, foundation parameter and the in-plane force parameter has been analysed on the first three natural frequencies of vibration. By allowing the frequency to approach zero, the critical buckling loads for both the plates have been computed. Three-dimensional mode shapes for specified plates have been plotted. Comparison with existing results has been made.