DOI QR코드

DOI QR Code

A modified particle swarm approach for multi-objective optimization of laminated composite structures

  • Sepehri, A. (School of Mechanical Engineering, Shiraz University) ;
  • Daneshmand, F. (School of Mechanical Engineering, Shiraz University) ;
  • Jafarpur, K. (School of Mechanical Engineering, Shiraz University)
  • 투고 : 2011.08.16
  • 심사 : 2012.03.27
  • 발행 : 2012.05.10

초록

Particle Swarm Optimization (PSO) is a stochastic population based optimization algorithm which has attracted attentions of many researchers. This method has great potentials to be applied to many optimization problems. Despite its robustness the standard version of PSO has some drawbacks that may reduce its performance in optimization of complex structures such as laminated composites. In this paper by suggesting a new variation scheme for acceleration parameters and inertial weight factors of PSO a novel optimization algorithm is developed to enhance the basic version's performance in optimization of laminated composite structures. To verify the performance of the new proposed method, it is applied in two multi-objective design optimization problems of laminated cylindrical. The numerical results from the proposed method are compared with those from two other conventional versions of PSO-based algorithms. The convergancy of the new algorithms is also compared with the other two versions. The results reveal that the new modifications inthe basic forms of particle swarm optimization method can increase its convergence speed and evade it from local optima traps. It is shown that the parameter variation scheme as presented in this paper is successful and can evenfind more preferable optimum results in design of laminated composite structures.

키워드

참고문헌

  1. Almeida, F.S. and Awruch, A.M. (2009), "Design optimization of composite laminated structures using genetic algorithms and finite element analysis", Compos. Struct., 88, 302-325.
  2. Arumugam, M.S., Rao, M.V.C. and Tan, A.W.C. (2009), "A novel and effective particle swarm optimization like algorithm with extrapolation technique", Appl. Soft Comput., 9, 308-320. https://doi.org/10.1016/j.asoc.2008.04.016
  3. Cairo, R. (1970), Optimum Design of Boron Epoxy Laminates, Grumman Aircraft Engineering Corporation, Tr Ac-Sm-8089.
  4. Callahan, K.J. and Weeks, G.E. (1992), "Optimum design of composite laminates using genetic algorithms", Compos. Eng., 2, 149-160. https://doi.org/10.1016/0961-9526(92)90001-M
  5. Chen, D. and Zhao, C. (2009), "Particle swarm optimization with adaptive population size and its application", Appl. Soft Comput., 9, 39-48. https://doi.org/10.1016/j.asoc.2008.03.001
  6. Chen, M.R., Li, X., Zhang, X. and Lu, Y.Z. (2010), "A novel particle swarm optimizer hybridized with extremal optimization", Appl. Soft Comput., 10, 367-373. https://doi.org/10.1016/j.asoc.2009.08.014
  7. Clerc, M. (2006), Particle Swarm Optimization, Iste Ltd., London.
  8. Clerc, M. and Kennedy, J. (2002) "The particle swarm-explosion, stability, and convergence in a multidimensional complex space", IEEE Evol. Comput., 6(1), 58-73. https://doi.org/10.1109/4235.985692
  9. David, K. (2010), "Optimization of ply angles in laminated composite structures by a hybrid, asynchronous, parallel evolutionary algorithm", Compos. Struct., 92(11), 2781-2790. https://doi.org/10.1016/j.compstruct.2010.04.003
  10. Fan, S.R., Geier, B., Rohwer, K. and Liu, D.C. (1983), "Stability of layered anisotropic cylindrical shells under combined loading", Z Flugweiss Weltraumforsch, 7(5).
  11. Ghiasi, H., Pasini, D. and Lessard, L. (2009), "Optimum stacking sequence design of composite materials. Part I: Constant stiffness design", Compos. Struct., 90(1), 1-11. https://doi.org/10.1016/j.compstruct.2009.01.006
  12. Hassan, R., Cohanim, B. and de Weck, O. (2005), "A comparison of particle swarm optimization and the genetic algorithm", Proceeding of the 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference Austin, Texas, April.
  13. Hu, X., Eberhart, R. and Shi, Y. (2003) Engineering optimization with particle swarm", IEEE Swarm Intelligence Symposium, Indianapolis, 53-57.
  14. James, K., Russell, C.E. and Yuhui, S. (2001), Swarm Intelligence, Morgan Kaufman, San Francisco, 1939-1944.
  15. Jiang, C., Han, X. and Liu, G.P. (2008), "Uncertain optimization of composite laminated plates using a nonlinear interval number programming method", Comput. Struct., 86(17-18), 1696-1703. https://doi.org/10.1016/j.compstruc.2008.02.009
  16. Kathiravan, R. and Ganguli, R. (2007), "Strength design of composite beam using gradient and particle swarm optimization", Compos. Struct., 81, 471-479. https://doi.org/10.1016/j.compstruct.2006.09.007
  17. Kennedy, J. (2000), "Stereotyping: Improving particle swarm performance with cluster analysis", IEEE Conference on Evolutionary Computation, California, USA, July.
  18. Kennedy, J. (2007), "Small worlds and mega-minds: Effects of neighborhood topology on particle swarm performance", Proceedings of the Congress on Evolutionary Computation, Washington, USA, July.
  19. Kennedy, J. and Eberhart, R. (1995), "Particle swarm optimization", IEEE International Conference On Neural Networks, Conference Proceedings, 1942-1948.
  20. Lansing, W., Dwyer, W., Emerton, R. and Analli, E. (1971), "Application of fully stressed design procedures to wing and empennage structures", Aircraft, 8, 683-688. https://doi.org/10.2514/3.59158
  21. Le Riche, R. and Haftka, R.T. (1995), "Improved genetic algorithm for minimum thickness composite laminate design", Compos. Eng., 5, 143-161. https://doi.org/10.1016/0961-9526(95)90710-S
  22. Lemanski, S. and Weaver, P. (2006), "Optimisation of a 4-layer laminated cylindrical shell to meet given crosssectional stiffness properties", Compos. Struct., 72, 163-176. https://doi.org/10.1016/j.compstruct.2004.11.005
  23. Lin, C.Y. and Chan, W.S. (2001), "Stiffness evaluation of elliptical laminated composite tube under bending", Proceeding of the 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Seattle, WA.
  24. Lombardi, M., Haftka, R.T. and Cinquini, C. (1992), "Optimization of composite plates for buckling using simulated annealing", Proceedings of the AIAA/ASME/ASCE/AHS/ASC 33rd Structures, Structural Dynamics and Materials Conference, Part 5; Dallas, Texas, April.
  25. Luo, Z., Luo, Q., Tong, L., Gao, W. and Song, Ch. (2011), "Shape morphing of laminated composite structures with photostrictive actuators via topology optimization", Compos. Struct., 93(2), 406-418. https://doi.org/10.1016/j.compstruct.2010.09.001
  26. Narayana Naik, G., Omkar, S.N., Mudigere, D. and Gopalakrishnan, S. (2011), "Nature inspired optimization techniques for the design optimization of laminated composite structures using failure criteria", Expert Syst. Appl., 38(3), 2489-2499. https://doi.org/10.1016/j.eswa.2010.08.038
  27. Ozcan, E. and Mohan, C. (1999), "Particle swarm optimization: surfing the waves", Proceedings of the Congress on Evolutionary Computation.
  28. Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd Edition, CRC Press.
  29. Sandhu, R.S. (1971), "Parametric study of optimum fiber orientation for filamentary sheet", Aerospace Structures Information and Analysis Center AFFDL/FBR WRAFB, TM-FBC-71-1, 14.
  30. Suresh, S., Sujit, P.B. and Rao, A.K. (2007), "Particle swarm optimization approach for multi-objective composite box-beam design", Compos. Struct., 81, 598-605. https://doi.org/10.1016/j.compstruct.2006.10.008
  31. Tsai, S.W. (1987), Composite Design, 3rd Edition, Think Composites, Dayton, OH.
  32. Zehnder, N. and Ermannim, P. (2006), "A methodology for the global optimization of laminated composite structures", Compos. Struct., 72(3), 311-320. https://doi.org/10.1016/j.compstruct.2005.01.021
  33. Zheng, S.F., Su, S.X., Lin, C.F. and Lai, X.W. (2007), "A modified particle optimization algorithm and application", Proceeding of the 6th International Conference on Machine Learning and Cybernetics, 945-951.

피인용 문헌

  1. Optimal Remediation Design of Unconfined Contaminated Aquifers Based on the Finite Element Method and a Modified Firefly Algorithm vol.29, pp.8, 2015, https://doi.org/10.1007/s11269-015-0976-0
  2. Extension of a new tailoring optimisation technique to sandwich shells with laminated faces vol.43, pp.6, 2012, https://doi.org/10.12989/sem.2012.43.6.739
  3. Optimal fuzzy controller parameters using PSO for speed control of Quasi-Z Source DC/DC converter fed drive vol.27, 2015, https://doi.org/10.1016/j.asoc.2014.11.007
  4. PSO algorithm for fundamental frequency optimization of fiber metal laminated panels vol.47, pp.5, 2013, https://doi.org/10.12989/sem.2013.47.5.713
  5. Multiobjective size and topolgy optimization of dome structures vol.43, pp.6, 2012, https://doi.org/10.12989/sem.2012.43.6.795
  6. Probabilistic multi-objective optimization of a corrugated-core sandwich structure vol.10, pp.6, 2016, https://doi.org/10.12989/gae.2016.10.6.709
  7. Multi-objective optimal design of laminate composite shells and stiffened shells vol.43, pp.6, 2012, https://doi.org/10.12989/sem.2012.43.6.771
  8. State estimation of nonlinear dynamic systems using weighted variance-based adaptive particle swarm optimization vol.34, 2015, https://doi.org/10.1016/j.asoc.2015.04.029
  9. Optimisation of stiffeners for maximum fundamental frequency of cross-ply laminated cylindrical panels using social group optimisation and smeared stiffener method vol.120, 2017, https://doi.org/10.1016/j.tws.2017.08.033
  10. Optimal groundwater remediation design of pump and treat systems via a simulation–optimization approach and firefly algorithm vol.47, pp.1, 2015, https://doi.org/10.1080/0305215X.2013.858138
  11. An Elitist Multiobjective Tabu Search for Optimal Design of Groundwater Remediation Systems vol.55, pp.6, 2017, https://doi.org/10.1111/gwat.12525