KSCE Journal of Civil Engineering

, Volume 21, Issue 6, pp 2281–2288 | Cite as

Stacking sequence optimization for maximum fundamental frequency of simply supported antisymmetric laminated composite plates using Teaching–learning-based Optimization

Structural Engineering
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Abstract

This paper proposed a technique based on Teaching–learning-based Optimization (TLBO) for fundamental frequency optimization of simply supported antisymmetric laminated composite plates. The fibre orientations of the layers are selected as the optimization design variables with the aim to find the optimal laminated plates. The first order shear deformation theory is used to calculate the natural frequencies of laminates. In order to perform the optimization based on the TLBO, a special code is written in MATLAB software environment. Several numerical examples are presented to show the efficiency of the proposed algorithm. Also, the optimization problems are solved using other optimization algorithm such as Artifical Bee Colony (ABC) algorithm and the results are compared. It is concluded that TLBO algorithm can effectively be used for fundamental frequency optimization of antisymmetric laminated plates. The CPU time and the number of function evaluations required by TLBO are much smaller than those of the other algorithms tested. This indicates that TLBO is a competitive optimization algorithm for this class of problems.

Keywords

laminated composite plates teaching–learning-based optimization fundamental frequency optimization 
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References

  1. Abachizadeh, M. and Tahani, M. (2009). “An ant colony optimization approach to multi-objective optimal design of symmetric hybrid laminates for maximum fundamental frequency and minimum cost.” Structural and Multidisciplinary Optimization, Vol. 37, No. 4, pp. 367–376, DOI: 10.1007/s00158-008-0235-6.CrossRefGoogle Scholar
  2. Anh, L. L., Thoi, T. N., Huu, V. H., Trung, H. D., and Xuan, T. B. (2015). “Static and frequency optimization of folded laminated composite plates using an adjusted differential evolution algorithm and a smoothed triangular plate element.” Composite Structures, Vol. 127, No. 1, pp. 382–394, DOI: 10.1016/(J.COMPSTRUCT).2015.02.069.CrossRefGoogle Scholar
  3. Apalak, M. K., Yildirim, M., and Ekici, R. (2008). “Layer optimisation for maximum fundamental frequency of laminated composite plates for different edge conditions.” Composite Science and Technology, Vol. 68, No. 2, pp. 537–550, DOI: 10.1016/(J.COMPSCITECH).2007.06.031.CrossRefGoogle Scholar
  4. Apalak, M. K., Karaboga, D., and Akay, B. (2014). “The artificial bee colony algorithm in layer optimization for the maximum fundamental frequency of symmetrical laminated composite plates.” Engineering Optimization, Vol. 46, No. 3, pp. 420–437, DOI: 10.1080/0305215X. 2013.776551.MathSciNetCrossRefGoogle Scholar
  5. Bargh, H. G. and Sadr, M. H. (2011). “Stacking sequence optimization of composite plates for maximum fundamental frequency using particle swarm optimization algorithm.” Meccanica, Vol. 47, No. 3, pp. 719–730, DOI: 10.1007/s11012-011-9482-5.MathSciNetCrossRefMATHGoogle Scholar
  6. Fukunaga, H., Sekine, H., and Sato, M. (1994). “Optimal design of symmetric laminated plates for fundamental frequency.” Journal of Sound Vibration, Vol. 17, No. 2, pp. 219–229, DOI: 10.1006/(JSVI).1994.1115.CrossRefMATHGoogle Scholar
  7. Honda, S., Narita, Y., and Sasaki, K. (2009). “Discrete optimization for vibration design of composite plates by using lamination parameters.” Advanced Composite Materials, Vol. 18, No. 4, pp. 297–314, DOI: 10.1163/156855109X434739.CrossRefGoogle Scholar
  8. Honda, S., Kumagai, T., Tomihashi, K., and Narita, Y. (2013). “Frequency maximization of laminated sandwich plates under general boundary conditions using layerwise optimization method with refined zigzag theory.” Journal of Sound Vibration, Vol. 332, No. 24, pp. 6451–6462, DOI: 10.1016/(J.JSV).2013.07.010.CrossRefGoogle Scholar
  9. Hu, H. T. and Tsai, W. K. (2009). “Maximization of fundamental frequencies of axially compressed laminated plates against fiber orientation.” AIAA Journal, Vol. 47, No. 4, pp. 916–922, DOI: 10.2514/1.36555.CrossRefGoogle Scholar
  10. Karakay, S. and Soykasap, Ö. (2011). “Natural frequency and buckling optimization of laminated hybrid composite plates using genetic algorithm and simulated annealing.” Structural and Multidisciplinary Optimization, Vol. 43, No. 1, pp. 61–72, DOI: 10.1007/s00158-010-0538-2.CrossRefGoogle Scholar
  11. Kayikci, R. and Sonmez, F. O. (2012). “Design of composite laminates for optimum frequency response.” Journal of Sound and Vibration, Vol. 331, No. 8, pp. 1759–1776, DOI: 10.1016/(J.JSV).2011.12.020.CrossRefGoogle Scholar
  12. Koide, R. M., de França, G. Z., and Luersen, M. A. (2013). “An ant colony algorithm applied to lay-up optimization of laminated composite plates.” Latin American Journal of Solids and Structures, Vol. 10, No. 3, pp. 491–504, DOI: 10.1590/S1679-78252013000300003.CrossRefGoogle Scholar
  13. Narita, Y. and Hodgkinson, J. M. (2005). “Layerwise optimisation for maximising the fundamental frequencies of point-supported rectangular laminated composite plates.” Composite Structures, Vol. 69, No. 2, pp. 127–135, DOI: 10.1016/(J.COMPSTRUCT).2004.05.021.CrossRefGoogle Scholar
  14. Narita, Y. (2006). “Maximum frequency design of laminated plates with mixed boundary conditions.”, International Journal of Solids and Structures, Vol. 43, No. 14-15, pp. 4342–4356, DOI: 10.1016/(J.IJSOLSTR).2005.06.104.Google Scholar
  15. Rao, R. V., Savsani, V. J., and Vakharia, D. P. (2011). “Teaching learningbased optimization: A novel method for constrained mechanical design optimization problems.” Computer-Aided Design, Vol. 4, No. 3, pp. 303–315, DOI:10.1016/(J.CAD).2010.12.015.CrossRefGoogle Scholar
  16. Reddy, J. N. (2004). Mechanics of laminated composite plates and shells, Theory and Analysis, CRC Press, Second edition.MATHGoogle Scholar
  17. Sadr, M. H. and Bargh, H. G. (2012). “Optimization of laminated composite plates for maximum fundamental frequency using elitistgenetic algorithm and finite strip method.” Journal of Global Optimization, Vol. 54, No. 4, pp. 707–728, DOI: 10.1007/s10898-011-9787-x.MathSciNetCrossRefMATHGoogle Scholar
  18. Vosoughi, A. R. and Nikoo, M. R. (2015). “Maximum fundamental frequency and thermal buckling temperature of laminated composite plates by a new hybrid multi objective optimization technique.” Thin Walled Structures, Vol. 95, No. 32, pp. 408–415, DOI: 10.1016/(J.TWS).2015.07.014.CrossRefGoogle Scholar
  19. Vosoughi, A. R., Forkhorji, H. D., and Roohbakhsh, H. (2016). “Maximum fundamental frequency of thick laminated composite plates by a hybrid optimization method.” Composites Part B: Engineering, Vol. 86, No. 24, pp. 254–260, DOI: 10.1016/(J.COMPOSITESB).2015. 10.010.CrossRefGoogle Scholar

Copyright information

© Korean Society of Civil Engineers and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Umut Topal
    • 1
  • Tayfun Dede
    • 2
  • Hasan Tahsin Öztürk
    • 2
  1. 1.Dept. of Civil EngineeringKaradeniz Technical University, Faculty of TechnologyTrabzonTurkey
  2. 2.Dept. of Civil EngineeringKaradeniz Technical UniversityTrabzonTurkey

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