Optimizing the buckling characteristics and weight of functionally graded circular plates using the multi-objective Pareto archived simulated annealing algorithm (PASA)

Abstract

In this study for the first time, weight and critical buckling load in two kinds of functionally graded (FG) circular plates, namely, aluminum–alumina of (Al/Al2O3) and aluminum–zirconia (Al/ZnO2), are optimized using multi-objective Pareto archived simulated annealing algorithm (PASA). Material properties are assumed to vary with the power law in terms of the volume fractions of the constituent in two forms of symmetric and asymmetric with respect to the middle surface. The plate is subjected to uniform radial load and is considered for two boundary conditions, namely, simply supported and clamped edges. Aim at obtaining the Pareto archive is to achieve simultaneously the maximum buckling and the minimum weight concerning with proposed constraints. The parameters include the radius, thickness and volume fraction that the certain range is intended individually. The constraints are presented in form of the ratio of thickness to radius in category of the thin plates as well as the critical buckling stress being in the elastic range. Proposed simulated annealing algorithm is coded in MATLAB to obtain optimal non-dominated solution.