Analysis and optimization on functionally graded rotating disk using grey relational method

Abstract

In the present study, optimization on rotating functionally graded disk is made through Taguchi’s S/n ratio and grey relational technique. Initially, the stress components and the displacement of the rotating disk are analyzed by analytical technique and finite element analysis (FEA) and observed that the results of the FEA analysis have a good coincidence with analytical method. Later, multi-objective optimization techniques are employed in the structural analysis of rotating disk to minimize the maximum stress, displacement, and mass of the disk. Rotating disk’s outer and inner radius ratio, b/a, material property gradient index, n, thickness index, m, angular speed, w, the temperature difference, T and constraints at the inner and outer surface of the rotating disk are included as the control parameters. These parameters are varied to three levels of value, and the L27 orthogonal matrix is used. The twenty-seven cases are analyzed through FEA technique, and as an outcome, maximum stress and displacement are determined. From the multi-objective optimization, the best value for the control parameters is identified as b/a = 2; n = 1; m = 0; speed = 5000 rpm; temperature difference = 300 °C and clamped constraint at inner and outer surface of rotating disk and the corresponding maximum stress = 0.567 Mpa, deflection = 0.113 μm, and mass = 0.84 kg.