Multi-objective genetic algorithm optimization of composite sandwich plates using a higher-order theory
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(2020) 42:523
TECHNICAL PAPER
Multi‑objective genetic algorithm optimization of composite sandwich plates using a higher‑order theory Mohammad Mahdi Kheirikhah1 Received: 1 May 2020 / Accepted: 25 August 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020
Abstract The main purpose of this paper is multi-objective optimization of soft-core composite sandwich plates using a known accurate high-order sandwich plate theory. In this three-layer theory, high-order kinematic assumptions are dedicated to each face sheet and the core layer. This theory considers the transverse flexibility of the soft core and satisfies transverse shear stresses continuity conditions and zero transverse shear stresses conditions at the upper and lower surfaces of the plate. The governing equations for bending and buckling analyses are derived using Hamilton’s principle, and their analytical solutions are presented for cross-ply plates. Two multi-objective optimization problems consist of weight/deflection optimization and weight/buckling load optimization of the unidirectional and cross-ply sandwich plates being studied. The thicknesses of the core and the face sheet layers are set as problems variables. The genetic algorithm is employed to find the optimal solutions for the problems, and the results are presented in form of the Pareto front. The accuracy of the present modeling and optimization method is evaluated for special case of buckling load maximization of laminated composite plates. For each problem, the optimization process is continued for more than 200 generations, but the results don’t change after 100 generations and the optimized results are obtained. The results confirm that there is no significant difference between the optimal solutions of unidirectional and cross-ply sandwich plates in both optimization problems. The process statistics show that cross-ply layup optimization takes about 25% more time than the unidirectional layup. Keywords Multi-objective optimization · Composite sandwich plates · Bending · Buckling · Genetic algorithm · Pareto front
1 Introduction Composite sandwich structures play a key role in some important industries such as aerospace, marine, automobile manufacturing and construction because of their amazing advantages like high strength, low weight, corrosion resistance, customizable properties and wide range of available materials. Engineers and scientists always try to find the best possible design to reduce the weight and the cost of structures and improve the mechanical properties of them. This process is known as optimization, which is an interesting Technical Editor: Aurelio Araujo. * Mohammad Mahdi Kheirikhah [email protected] 1
Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Nokhbegan Blvd., Qazvin, Iran
research subject in engineering fields, especially for weightsensitive applications like aeronautics [1]. To date, many papers have been published on optimization of laminated composite plates for different applicat
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