Large deflection thermoelastic analysis of shear deformable functionally graded variable thickness rotating disk

摘要

In this paper, large deflection thermoelastic analysis of functionally graded (FG) solid and hollow rotating axisymmetric disk with uniform and variable thickness subjected to thermo-mechanical loading is studied. To achieve this goal, in addition to the uniform transverse loading, the rotating FG disk is subjected to a thermal gradient along the radial direction. Three different profiles (convex, linear and concave) are considered for variable thickness disk. The mechanical and thermal properties of FG disk are assumed to vary continuously along the radial direction by the Mori-Tanaka distribution. The nonlinear formulations are based on first order shear deformation theory (FSDT) and large deflection von Karman equations. The dynamic relaxation (DR) method combined with the finite difference discretization technique is employed to solve the equilibrium equations. Effects of grading index, angular velocity, boundary condition, thermal loading, ratios of thickness to radius and thickness profile of the disk are studied in detail. Also some linear and nonlinear analysis with different thickness-to-radius ratios is carried out based on classical plate theory (CPT) and FSDT to consider the effect of shear deformation and nonlinearity on the results.