Int. J. Simul. Multidisci. Des. Optim.
Volume 10, 2019
|Number of page(s)||16|
|Published online||23 September 2019|
Optimizing the buckling characteristics and weight of functionally graded circular plates using the multi-objective Pareto archived simulated annealing algorithm (PASA)
Department of Mechanical Engineering, Islamic Azad University, Khomeinishar Branch, Khomeinishar, Iran
2 Department of Mechanical Engineering, Islamic Azad University, Najafabad Branch, Najafabad, Iran
Accepted: 27 August 2019
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.
Key words: Critical buckling load / functionally graded materials / multi-objective optimization / simulated annealing algorithm / Pareto archive
© F. Farhatnia et al., published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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