Abstract
In this study, the nonlinear free vibration responses of functionally graded curved (cylindrical, elliptical, and hyperbolic) shell panels are analyzed under heat conduction. For the present investigation, the effective material properties are evaluated through the power-law distribution using Voigt’s micromechanical model. In addition, the material properties of each constituent are assumed to be the function of temperature and thermal conductivity. The functionally graded material kinematic model is developed using the higher-order shear deformation theory, and the geometrical nonlinearity is introduced through Green–Lagrange strain. The governing equation of the vibrated functionally graded panel model is derived using the classical Hamilton’s principle. The model is discretized based on the isoparametric finite element approach and solved using the direct iterative method. Finally, the variety of numerical examples are solved for different design parameters (geometrical and material), and their effects on the linear and the nonlinear frequency responses of the functionally graded curved shell panels are also discussed in details.
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