Natural frequency and buckling optimization considering weight saving for hybrid graphite/epoxy-sitka spruce and graphite-flax/epoxy laminated composite plates using stochastic methods

References

• M. Abachizadeh, and M. Tahani, An ant colony optimization approach to multi-objective optimal design of symmetric hybrid laminates for maximum fundamental frequency and minimum cost, Struct. Multidisc. Optim., vol. 37, no. 4, pp. 367–376, 2009. DOI: 10.1007/s00158-008-0235-6.
   Web of Science ®Google Scholar
• C. W. Bert, Optimal design of a composite-material plate to maximize its fundamental frequency, J Sound Vib., vol. 50, no. 2, pp. 229–237, 1977. DOI: 10.1016/0022-460X(77)90357-1.
   Web of Science ®Google Scholar
• R. Reiss, and S. Ramachandran, Chapter 36-Maximum frequency design of symmetric angle-ply laminates. Composite Structures 4 Volume 1 Analysis and Design Studies, Editor; Marshall I. H;, Springer, Rotterdam, the Netherlands, 1987.
   Google Scholar
• J. L. Grenestedt, Layup optimization and sensitivity analysis of the fundamental eigenfrequency of composite plates, Compos. Struct., vol. 12, no. 3, pp. 193–209, 1989. DOI: 10.1016/0263-8223(89)90022-6.
   Web of Science ®Google Scholar
• K. Duffy, and S. Adali, Maximum frequency design of prestressed symmetric, cross-ply laminates of hybrid construction, Adv. Des. Autom., vol. 2, pp. 477–484, 1991. DOI: 10.1115/DETC1991-0153.
   Google Scholar
• M. S. Qatu, Free vibration of laminated composite rectangular plates, Int. J. Solids Struct., vol. 28, no. 8, pp. 941–954, 1991. DOI: 10.1016/0020-7683(91)90122-V.
   Web of Science ®Google Scholar
• H. Ghashochi Bargh, and M. H. Sadr, Stacking sequence optimization of composite plates for maximum fundamental frequency using particle swarm optimization algorithm, Meccanica., vol. 47, no. 3, pp. 719–730, 2012. DOI: 10.1007/s11012-011-9482-5.
   Web of Science ®Google Scholar
• O. Erdal, and F. O. Sonmez, Optimum design of composite laminates for maximum buckling load capacity using simulated annealing, Compos. Struct., vol. 71, no. 1, pp. 45–52, 2005. DOI: 10.1016/j.compstruct.2004.09.008.
   Web of Science ®Google Scholar
• S. Karakaya, and O. Soykasap, Buckling optimization of laminated composite plates using genetic algorithm and generalized pattern search algorithm, Struct. Multidisc. Optim., vol. 39, no. 5, pp. 477–486, 2009. DOI: 10.1007/s00158-008-0344-2.
   Web of Science ®Google Scholar
• F. Aymerich, and M. Serra, Optimization of laminate stacking sequence for maximum buckling load using the ant colony optimization (ACO) metaheuristic, Compos. Part A., vol. 39, no. 2, pp. 262–272, 2008. DOI: 10.1016/j.compositesa.2007.10.011.
   Web of Science ®Google Scholar
• H. A. Deveci, L. Aydin, and H. S. Artem, Buckling optimization of composite laminates using a hybrid algorithm under Puck failure criterion constraint, J. Reinf. Plast Compos., vol. 35, no. 16, pp. 1233–1247, 2016. DOI: 10.1177/0731684416646860.
   Web of Science ®Google Scholar
• S. Ada Li, and K. J. DUFFY, Minimum cost design of vibrating laminates by hybridization, Eng Optim., vol. 19, no. 4, pp. 255–267, 1992. DOI: 10.1080/03052159208941231.
   Google Scholar
• S. Adali, and V. E. Verijenko, Optimum stacking sequence design of symmetric hybrid laminates undergoing free vibrations, Compos Struct., vol. 54, no. 2-3, pp. 131–138, 2001. DOI: 10.1016/S0263-8223(01)00080-0.
   Web of Science ®Google Scholar
• K. Lakshmi, and A. R. M. Rao, Multi-objective optimal design of laminated composite skirt using hybrid NSGA, Meccanica., vol. 48, no. 6, pp. 1431–1450, 2013. DOI: 10.1007/s11012-012-9676-5.
   Web of Science ®Google Scholar
• F. X. Irisarri, D. H. Bassir, N. Carrere, and J. F. Maire, Multiobjective stacking sequence optimization for laminated composite structures, Compos. Sci. Technol., vol. 69, no. 7-8, pp. 983–990, 2009. DOI: 10.1016/j.compscitech.2009.01.011.
   Web of Science ®Google Scholar
• A. R. M. Rao, and N. Arvind, A scatter search algorithm for stacking sequence optimisation of laminate composites, Compos. Struct., vol. 70, no. 4, pp. 383–402, 2005. DOI: 10.1016/j.compstruct.2004.09.031.
   Web of Science ®Google Scholar
• A. R. M. Rao, and K. Lakshmi, Discrete hybrid PSO algorithm for design of laminate composites with multiple objectives, J. Reinf. Plast Compos., vol. 30, no. 20, pp. 1703–1727, 2011. DOI: 10.1177/0731684411417198.
   Web of Science ®Google Scholar
• K. Lakshmi, and A. R. M. Rao, Optimal design of laminate composite plates using dynamic hybrid adaptive harmony search algorithm, J. Reinf. Plast. Compos., vol. 34, no. 6, pp. 493–518, 2015. DOI: 10.1177/0731684415574228.
   Web of Science ®Google Scholar
• R. Le Riche, and R. T. Haftka, Optimization of laminated stacking sequence for buckling load maximization by genetic algorithm, AIAA., vol. 31, no. 5, pp. 951–956, 1993. DOI: 10.2514/3.11710.
   Web of Science ®Google Scholar
• M. K. Apalak, M. Yildirim, and R. Ekici, Layer optimisation for maximum fundamental frequency of laminated composite plates for different edge conditions, Compos. Sci. Technol., vol. 68, no. 2, pp. 537–550, 2008. DOI: 10.1016/j.compscitech.2007.06.031.
   Web of Science ®Google Scholar
• S. Karakaya, and O. Soykasap, Natural frequency and buckling optimization of laminated hybrid composite plates using genetic algorithm and simulated annealing, Struct. Multidisc. Optim., vol. 43, no. 1, pp. 61–72, 2011. DOI: 10.1007/s00158-010-0538-2.
   Web of Science ®Google Scholar
• H. B. H. Gubran, and K. Gupta, Composite shaft optimization using simulated annealing, Part I: natural frequency, Int. J. Rotat. Mach., vol. 8, no. 4, pp. 275–283, 2002. DOI: 10.1155/S1023621X02000258.
   Google Scholar
• M. Akbulut, and F. O. Sonmez, Optimum design of composite laminates for minimum thickness, Comput. Struct., vol. 86, no. 21-22, pp. 1974–1982, 2008. DOI: 10.1016/j.compstruc.2008.05.003.
   Web of Science ®Google Scholar
• H. Baier, M. Huber, and H. Langer, Design optimization of hybrid material structures, Struct. Multidisc. Optim., vol. 36, no. 2, pp. 203–213, 2008. DOI: 10.1007/s00158-007-0204-5.
   Web of Science ®Google Scholar
• U. Topal, and Ü. Uzman, Frequency optimization of laminated composite angle-ply plates with circular hole, Mater. Des., vol. 29, no. 8, pp. 1512–1517, 2008. DOI: 10.1016/j.matdes.2008.03.002.
   Web of Science ®Google Scholar
• Ö. Civalek, Free vibration analysis of symmetrically laminated composite plates with first-order shear deformation theory (FSDT) by discrete singular convolution method, Finite. Elem. Anal. Des., vol. 44, no. 12–13, pp. 725–731, 2008. DOI: 10.1016/j.finel.2008.04.001.
   Web of Science ®Google Scholar
• C. M. C. Roque, and P. A. L. S. Martins, Maximization of fundamental frequency of layered composites using differential evolution optimization, Compos. Struct., vol. 183, pp. 77–83, 2018. DOI: 10.1016/j.compstruct.2017.01.037.
   Web of Science ®Google Scholar
• E. Ameri, M. M. Aghdam, and M. Shakeri, Global optimization of laminated cylindrical panels based on fundamental natural frequency, Compos. Struct., vol. 94, no. 9, pp. 2697–2705, 2012. DOI: 10.1016/j.compstruct.2012.04.005.
   Web of Science ®Google Scholar
• L. Aydin, and H. S. Artem, Comparison of stochastic search optimization algorithms for the laminated composites under mechanical and hygrothermal loadings, J. Reinf. Plast. Compos., vol. 30, no. 14, pp. 1197–1212, 2011. DOI: 10.1177/0731684411415138.
   Web of Science ®Google Scholar
• O. Hasancebi, S. Carbas, E. Dogan, F. Erdal, and M. P. Saka, Comparison of non-deterministic search techniques in the optimum design of real size steel frames, Comput. Struct., vol. 88, no. 17-18, pp. 1033–1048, 2010. DOI: 10.1016/j.compstruc.2010.06.006.
   Web of Science ®Google Scholar
• S. Manoharan, and S. Shanmuganathan, Comparison of search mechanisms for structural optimization, Comput. Struct., vol. 73, no. 1-5, pp. 363–372, 1999. DOI: 10.1016/S0045-7949(98)00287-9.
   Web of Science ®Google Scholar
• M. Savran, and L. Aydin, Stochastic optimization of graphite-flax/epoxy hybrid laminated composite for maximum fundamental frequency and minimum cost, Eng. Struct., vol. 174, pp. 675–687, 2018. DOI: 10.1016/j.engstruct.2018.07.043.
   Web of Science ®Google Scholar
• Yousef. Hosseinzadeh, Shahin. Jalili, and Reza. Khani, Investigating the effects of flax fibers application on multi-objective optimization of laminated composite plates for simultaneous cost minimization and frequency gap maximization, J. Build Eng., vol. 32, pp. 101477, 2020. DOI: 10.1016/j.jobe.2020.101477.
   Web of Science ®Google Scholar
• M. Megahed, R. Abo-Bakr, and S. A. Mohamed, Optimization of hybrid natural laminated composite beams for a minimum weight and cost design, Compos. Struct., vol. 239, pp. 111984, 2020. DOI: 10.1016/j.compstruct.2020.111984.
   Web of Science ®Google Scholar
• P. Dumond, and N. Baddour, Experimental investigation of the mechanical properties and natural frequencies of simply supported Sitka spruce plates, Wood Sci. Technol., vol. 49, no. 6, pp. 1137–1155, 2015. DOI: 10.1007/s00226-015-0759-z.
   Web of Science ®Google Scholar
• J. Reddy, Mechanics of Laminated Composite Plates and Shells: theory and Analysis, 2nd ed. Boca Raton, FL. CRC Press, 2004.
   Google Scholar
• H Irem Erten, H. Arda Deveci, H. Seçil Artem, Chapter 2 - Stochastic Optimization Methods. Designing Engineering Structures Using Stochastic Optimization Methods, CRC Press, Editors: Levent Aydin, H Seçil Artem, Selda Oterkus, Taylor & Francis, Boca Raton, 2020
   Google Scholar
• Z. Gurdal, R. T. Haftka, and P. Hajela, New York. Design and Optimization of Laminated Composite Materials, 1st ed., John Wiley & Sons, Hoboken, NJ, 1999.
   Google Scholar
• R. Storn, and K. Price, Differential evolution – a simple and efficient heuristic for global optimization over continuous spaces, J. Glob. Optim., vol. 11, no. 4, pp. 341–359, 1997. DOI: 10.1023/A:1008202821328.
   Web of Science ®Google Scholar
• M. Savran, H. Sayi, L. Aydin, Chapter 3 - Mathematica and Optimization. Designing Engineering Structures Using Stochastic Optimization Methods, CRC Press, Editors: Levent Aydin, H Seçil Artem, Selda Oterkus, Taylor & Francis, Boca Raton, 2020
   Google Scholar
• İ. Polatoğlu, L. Aydın, B. Ç. Nevruz, and S. Özer, A novel approach for the optimal design of a biosensor, Anal. Lett., vol. 53, no. 9, pp. 1428–1445, 2020. DOI: 10.1080/00032719.2019.1709075.
   Web of Science ®Google Scholar
• A. Ayvalik, and L. Aydin, Simultaneous analysis and optimum design of synthetic and vegetable fiber-reinforced composites for buckling – failure phenomena, Mech. Adv. Mater. Struct., pp. 1–10, 2021. DOI: 10.1080/15376494.2021.1958031.
   Google Scholar
• M. Savran, Development of vibration performances of hybrid laminated composite materials by using stochastic methods, [Graduate Thesis] [Izmir]: İzmir Katip Çelebi University, 2017. https://tez.yok.gov.tr/UlusalTezMerkezi/tezSorguSonucYeni.jsp.
   Google Scholar
• S. Liang, P. B. Gning, and L. Guillaumat, Quasi-static behaviour and damage assessment of flax/epoxy composites, Mater Des., vol. 67, pp. 344–353, 2015. DOI: 10.1016/j.matdes.2014.11.048.
   Web of Science ®Google Scholar