Multi-objective multi-laminate design and optimization of a Carbon Fibre Composite wing torsion box using evolutionary algorithm

Abstract The present study aims to minimize the weight of multi-laminate aerospace structures by a classical Genetic Algorithm (GA) interfaced with a CAE solver. The structural weight minimization is a multi-objective optimization problem subjected to fulfilling of strength and stiffness design requirements as well. The desired fitness function connects the multi-objective design requirements to form a single-objective function by using carefully chosen scaling factors and a weight vector to get a near optimal solution. The scaling factors normalize and the weight vector prioritizes the objective functions. The weight vector selection was based on a posteriori articulation, after obtaining a series of Pareto fronts by 3D hull plot of strength, stiffness and assembly weight data points. During the optimization, the algorithm does an intelligent laminate selection based on static strength and alters the ply orientations and thickness of laminae for faster convergence. The study further brings out the influence of mutation percentage on convergence. The optimization procedure on a transport aircraft wing torsion box has showed 29% weight reduction compared to an initial quasi-isotropic laminated structure and 54% with respect to the metallic structure.

[1]  Kaisa Miettinen A Posteriori Methods , 1998 .

[2]  Umut Topal,et al.  Frequency optimization of laminated composite angle-ply plates with circular hole , 2008 .

[3]  S. Vel,et al.  MULTI-OBJECTIVE OPTIMIZATION OF FIBER REINFORCED COMPOSITE LAMINATES FOR STRENGTH, STIFFNESS AND MINIMAL MASS , 2006 .

[4]  Şükrü Karakaya,et al.  Buckling optimization of laminated composite plates using genetic algorithm and generalized pattern search algorithm , 2009 .

[5]  Ardeshir Bahreininejad,et al.  Optimization of laminate stacking sequence for minimizing weight and cost using elitist ant system optimization , 2013, Adv. Eng. Softw..

[6]  Mehdi Kalantari,et al.  Multi-objective robust optimisation of unidirectional carbon/glass fibre reinforced hybrid composites under flexural loading , 2016 .

[7]  Hideki Sekine,et al.  Layup Optimization for Buckling of Laminated Composite Shells with Restricted Layer Angles , 2004 .

[8]  Akhil Upadhyay,et al.  Buckling load prediction of laminated composite stiffened panels subjected to in-plane shear using artificial neural networks , 2016 .

[9]  M. Stolpe,et al.  Maximum stiffness and minimum weight optimization of laminated composite beams using continuous fiber angles , 2011 .

[10]  Denis Howe,et al.  Aircraft Conceptual Design Synthesis: Howe/Aircraft Conceptual Design Synthesis , 2000 .

[11]  Amjad J. Aref,et al.  A genetic algorithm-based multi-objective optimization for hybrid fiber reinforced polymeric deck and cable system of cable-stayed bridges , 2015, Structural and Multidisciplinary Optimization.

[12]  Kalyanmoy Deb,et al.  Optimization for Engineering Design: Algorithms and Examples , 2004 .

[13]  Snorri Gudmundsson,et al.  General Aviation Aircraft Design: Applied Methods and Procedures , 2013 .

[14]  Nigel R. Ball,et al.  Genetic algorithm representations for laminate layups , 1993, Artif. Intell. Eng..

[15]  Dong-Ho Lee,et al.  Multi-Objective and Multidisciplinary Design Optimization of Supersonic Fighter Wing , 2006 .

[16]  Debabrata Chakraborty,et al.  Multiobjective Optimization of Laminated Composites using Finite Element Method and Genetic Algorithm , 2005 .

[17]  P. Camanho,et al.  High strain rate characterisation of unidirectional carbon-epoxy IM7-8552 in longitudinal compression , 2011 .

[18]  Armando Miguel Awruch,et al.  Design optimization of composite laminated structures using genetic algorithms and finite element analysis , 2009 .

[19]  Tim Schmitz,et al.  Mechanics Of Composite Materials , 2016 .

[20]  Stephen W. Tsai,et al.  A General Theory of Strength for Anisotropic Materials , 1971 .

[21]  Zafer Gürdal,et al.  Optimization of Variable-Stiffness Panels for Maximum Buckling Load Using Lamination Parameters , 2010 .

[22]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[23]  Eugenio Oñate,et al.  Robust design optimisation of advance hybrid (fiber–metal) composite structures ☆ , 2013 .

[24]  Kaisa Miettinen,et al.  Introduction to Multiobjective Optimization: Interactive Approaches , 2008, Multiobjective Optimization.

[25]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[26]  Carl T. Herakovich,et al.  Mechanics of Fibrous Composites , 1997 .

[27]  Zhi J. Wang,et al.  Adaptive high-order methods in computational fluid dynamics , 2011 .

[28]  D. Varas,et al.  The influence of laminate stacking sequence on ballistic limit using a combined Experimental/FEM/Artificial Neural Networks (ANN) methodology , 2018 .

[29]  P. M. Mohite,et al.  Design and Optimization of a Composite Canard Control Surface of an Advanced Fighter Aircraft under Static Loading , 2015 .

[30]  C. M. Mota Soares,et al.  Multiobjective design of viscoelastic laminated composite sandwich panels , 2015 .

[31]  Pascal Francescato,et al.  Single- and Multi-objective Optimization of Composite Structures: The Influence of Design Variables , 2010 .

[32]  Chang Wook Ahn,et al.  On the practical genetic algorithms , 2005, GECCO '05.

[33]  Edward N. Tinoco,et al.  Abridged Summary of the Third AIAA Computational Fluid Dynamics Drag Prediction Workshop , 2008 .