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http://dx.doi.org/10.12989/scs.2015.18.3.693

Nonlinear flexural vibration of shear deformable functionally graded spherical shell panel  

Kar, Vishesh R. (Department of Mechanical Engineering, National Institute of Technology)
Panda, Subrata K. (Department of Mechanical Engineering, National Institute of Technology)
Publication Information
Steel and Composite Structures / v.18, no.3, 2015 , pp. 693-709 More about this Journal
Abstract
In this article, nonlinear free vibration behaviour of functionally graded spherical panel is analysed. A nonlinear mathematical model is developed based on higher order shear deformation theory for shallow shell by taking Green-Lagrange type of nonlinear kinematics. The material properties of functionally graded material are assumed to be varying continuously in transverse direction and evaluated using Voigt micromechanical model in conjunction with power-law distribution. The governing equation of the shell panel is obtained using Hamilton's principle and discretised with the help of nonlinear finite element method. The desired responses are evaluated through a direct iterative method. The present model has been validated by comparing the frequency ratio (nonlinear frequency to linear frequency) with those available published literatures. Finally, the effect of geometrical parameters (curvature ratio, thickness ratio, aspect ratio and support condition), power law indices and amplitude of vibration on the frequency ratios of spherical panel have been discussed through numerical experimentations.
Keywords
nonlinear flexural vibration; finite element analysis; FGM; HSDT; Green-Lagrange;
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