Optimization of laminated composite structures using harmony search algorithm

Abstract This paper presents a study on the optimization of composite structures using harmony search (HS) algorithm. Modifications in the harmony memory are proposed to improve the reliability in stacking sequence optimizations. Using a memory formed by different designs keeps diversity and helps to prevent convergence to local optimum. Additionally, decreasing memory size during the optimization favours the exploration of the design space in the beginning and intensifies the search in promising regions in the end. HS is compared to many metaheuristic methods in a benchmark problem of buckling load maximization. Other examples present the optimization of laminated plates and shells using HS and finite element analysis considering material failure and geometric nonlinearity. Results indicate that HS is equal or better than other methods in optimization of composite structures. The variation of parameters during the optimization has a positive impact on the performance of HS. Furthermore, modifications presented in this paper increase the reliability of HS in optimizations with few function evaluations and should be considered in future works.

[1]  Zong Woo Geem,et al.  A New Heuristic Optimization Algorithm: Harmony Search , 2001, Simul..

[2]  Akira Todoroki,et al.  Stacking sequence optimization by a genetic algorithm with a new recessive gene like repair strategy , 1998 .

[3]  Zong Woo Geem,et al.  Effects of initial memory and identical harmony in global optimization using harmony search algorithm , 2012, Appl. Math. Comput..

[4]  Mahamed G. H. Omran,et al.  Global-best harmony search , 2008, Appl. Math. Comput..

[5]  M. Walker,et al.  A technique for the multiobjective optimisation of laminated composite structures using genetic algorithms and finite element analysis , 2003 .

[6]  K. Lee,et al.  A new structural optimization method based on the harmony search algorithm , 2004 .

[7]  Ali Kaveh,et al.  Buckling load of laminated composite plates using three variants of the biogeography-based optimization algorithm , 2018 .

[8]  Felipe Almeida,et al.  Stacking sequence optimization for maximum buckling load of composite plates using harmony search algorithm , 2016 .

[9]  Ali Kaveh,et al.  Cost optimization of a composite floor system using an improved harmony search algorithm , 2010 .

[10]  S. O. Degertekin Improved harmony search algorithms for sizing optimization of truss structures , 2012 .

[11]  Zong Woo Geem,et al.  A survey on applications of the harmony search algorithm , 2013, Eng. Appl. Artif. Intell..

[12]  Yin-Fu Huang,et al.  Self-adaptive harmony search algorithm for optimization , 2010, Expert Syst. Appl..

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

[14]  Mandava Rajeswari,et al.  The variants of the harmony search algorithm: an overview , 2011, Artificial Intelligence Review.

[15]  Fazil O. Sonmez,et al.  Optimum design of composite laminates for maximum buckling load capacity using simulated annealing , 2005 .

[16]  Nima Taherinejad,et al.  Highly reliable harmony search algorithm , 2009, 2009 European Conference on Circuit Theory and Design.

[17]  A. Rao,et al.  Optimal design of laminate composite plates using dynamic hybrid adaptive harmony search algorithm , 2015 .

[18]  Ajith Abraham,et al.  An Improved Harmony Search Algorithm with Differential Mutation Operator , 2009, Fundam. Informaticae.

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

[20]  Víctor Yepes,et al.  Hybrid harmony search for sustainable design of post-tensioned concrete box-girder pedestrian bridges , 2015 .

[21]  Isaac M Daniel,et al.  Engineering Mechanics of Composite Materials , 1994 .

[22]  M. Fesanghary,et al.  An improved harmony search algorithm for solving optimization problems , 2007, Appl. Math. Comput..

[23]  K. Lee,et al.  A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice , 2005 .

[24]  Mehmet Polat Saka,et al.  Harmony search algorithm based optimum detailed design of reinforced concrete plane frames subject to ACI 318-05 provisions , 2015 .

[25]  K. Lakshmi,et al.  Adaptive Hybrid Harmony Search algorithm for optimal design of laminate composites , 2012, 2012 Third International Conference on Computing, Communication and Networking Technologies (ICCCNT'12).

[26]  P. B. Sujit,et al.  Particle swarm optimization approach for multi-objective composite box-beam design , 2007 .

[27]  S. O. Degertekin Optimum design of steel frames using harmony search algorithm , 2008 .

[28]  Raphael T. Haftka,et al.  Design and optimization of laminated composite materials , 1999 .

[29]  Layne T. Watson,et al.  COMPOSITE LAMINATE DESIGN OPTIMIZATION BY GENETIC ALGORITHM WITH GENERALIZED ELITIST SELECTION , 2001 .

[30]  Masoud Tahani,et al.  An ant colony optimization approach to multi-objective optimal design of symmetric hybrid laminates for maximum fundamental frequency and minimum cost , 2009 .