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Truss Optimization Under Frequency Constraints by Using a Combined Differential Evolution and Jaya Algorithm

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Advances in Engineering Research and Application (ICERA 2020)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 178))

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Abstract

A combined differential evolution (DE) and Jaya algorithm, named CDJ, for size and shape truss optimization under frequency constraints is suggested in this paper. In CDJ, a combined operator of the original DE and Jaya are used to achieve both the global and local searching abilities. Then, the elitist selection technique is used in the selection stage. As a result, the CDJ can generate good solutions with a small computational effort in comparison with two original methods and some other optimization algorithms in the literature. To validate its feasibility, two numerical examples of shape and size optimization and size optimization are performed.

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References

  1. Kaveh, A., Kalatjari, V.: Topology optimization of trusses using genetic algorithm, force method and graph theory. Int. J. Numer. Methods Eng. 58, 771–791 (2003)

    Article  Google Scholar 

  2. Lamberti, L., Pappalettere, C.: Comparison of the numerical efficiency of different sequential linear programming based algorithms for structural optimisation problems. Comput. Struct. 76, 713–728 (2000)

    Article  Google Scholar 

  3. Lingyun, W., Mei, Z., Guangming, W., Guang, M.: Truss optimization on shape and sizing with frequency constraints based on genetic algorithm. Comput. Mech. 35, 361–368 (2005)

    Article  Google Scholar 

  4. Lingyun, W., Mei, Z., Guangming, W., Guang, M.: Truss optimization on shape and sizing with frequency constraints based on genetic algorithm. Comput. Mech. 35, 361–368 (2005)

    Article  Google Scholar 

  5. Kaveh, A., Zolghadr, A.: Democratic PSO for truss layout and size optimization with frequency constraints. Comput. Struct. 130, 10–21 (2014)

    Article  Google Scholar 

  6. Storn, R., Price, K.: Differential evolution–a simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 11, 341–359 (1997)

    Article  MathSciNet  Google Scholar 

  7. Ali, M.Z., Awad, N.H., Suganthan, P.N.: Multi-population differential evolution with balanced ensemble of mutation strategies for large-scale global optimization. Appl. Soft Comput. 33, 304–327 (2015)

    Article  Google Scholar 

  8. Mirjalili, S., Lewis, A.: The whale optimization algorithm. Adv. Eng. Softw. 95, 51–67 (2016)

    Article  Google Scholar 

  9. Ho-Huu, V., Nguyen-Thoi, T., Nguyen-Thoi, M.H., Le-Anh, L.: An improved constrained differential evolution using discrete variables (D-ICDE) for layout optimization of truss structures. Expert Syst. Appl. 42, 7057–7069 (2015)

    Article  Google Scholar 

  10. Nguyen-Van, S., Gwak, K.W.: A Novel determination of boundaries of cable forces for cable-driven parallel robots with frequency constraint by using differential evolution algorithm. In: Lecture Notes in Networks and Systems, pp. 35–46. Springer (2020)

    Google Scholar 

  11. Sayah, S., Hamouda, A.: A hybrid differential evolution algorithm based on particle swarm optimization for nonconvex economic dispatch problems. Appl. Soft Comput. 13, 1608–1619 (2013)

    Article  Google Scholar 

  12. Lieu, Q.X., Do, D.T.T., Lee, J.: An adaptive hybrid evolutionary firefly algorithm for shape and size optimization of truss structures with frequency constraints. Comput. Struct. 195, 99–112 (2018)

    Article  Google Scholar 

  13. Venkata Rao, R.: Jaya: a simple and new optimization algorithm for solving constrained and unconstrained optimization problems. Int. J. Ind. Eng. Comput. 7, 19–34 (2016)

    Google Scholar 

  14. Frans, R., Arfiadi, Y.: Sizing, shape, and topology optimizations of roof trusses using hybrid genetic algorithms. Procedia Eng. 95, 185–195 (2014)

    Article  Google Scholar 

  15. Sonmez, M.: Performance comparison of metaheuristic algorithms for the optimal design of space trusses. Arab. J. Sci. Eng. 43, 5265–5281 (2018)

    Article  Google Scholar 

  16. Luo, X., Cao, L., Wang, L., Zhao, Z., Huang, C.: Parameter identification of the photovoltaic cell model with a hybrid Jaya-NM algorithm. Optik (Stuttg) 171, 200–203 (2018)

    Article  Google Scholar 

  17. Ghavidel, S., Azizivahed, A., Li, L.: A hybrid Jaya algorithm for reliability–redundancy allocation problems. Eng. Optim. 50, 698–715 (2018)

    Article  MathSciNet  Google Scholar 

  18. Vu, N.P., Nguyen, D.N., Luu, A.T., Tran, N.G., Tran, T.H., Nguyen, V.C., Bui, T.D., Nguyen, H.L.: The influence of main design parameters on the overall cost of a gearbox. Appl. Sci. 10(7), 2365 (2020). https://doi.org/10.3390/app10072365

    Article  Google Scholar 

  19. Hidayat, K., Hasanah, R.N., Suyono, H.: Hybrid improved differential evolution and spline-based Jaya for photovoltaic MPPT technique. In: International Conference on Electrical Engineering, Computer Science and Informatics (EECSI), pp. 344–351. Institute of Advanced Engineering and Science (2019)

    Google Scholar 

  20. Ho-Huu, V., Nguyen-Thoi, T., Vo-Duy, T., Nguyen-Trang, T.: An adaptive elitist differential evolution for optimization of truss structures with discrete design variables. Comput. Struct. 165, 59–75 (2016)

    Article  Google Scholar 

  21. Luu, T.V., Nguyen, N.S.: Parameters extraction of solar cells using modified JAYA algorithm. Optik (Stuttg) 203, 164034 (2020)

    Article  Google Scholar 

  22. Das, S., Abraham, A., Chakraborty, U.K., Konar, A.: Differential evolution using a neighborhood-based mutation operator. IEEE Trans. Evol. Comput. 13, 526–553 (2009)

    Article  Google Scholar 

  23. Ho-Huu, V., Nguyen-Thoi, T., Truong-Khac, T., Le-Anh, L., Vo-Duy, T.: An improved differential evolution based on roulette wheel selection for shape and size optimization of truss structures with frequency constraints. Neural Comput. Appl. 29, 167–185 (2018)

    Article  Google Scholar 

  24. Padhye, N., Bhardawaj, P., Deb, K.: Improving differential evolution through a unified approach. J. Glob. Optim. 55, 771–799 (2013)

    Article  MathSciNet  Google Scholar 

  25. Luu, T.V., Nguyen, N.S.: Parameters extraction of solar cells using modified JAYA algorithm. Optik (Stuttg) 203, 164034 (2020)

    Article  Google Scholar 

  26. Gomes, H.M.: Truss optimization with dynamic constraints using a particle swarm algorithm. Expert Syst. Appl. 38, 957–968 (2011)

    Article  Google Scholar 

  27. Kaveh, A., Ilchi Ghazaan, M.: Hybridized optimization algorithms for design of trusses with multiple natural frequency constraints. Adv. Eng. Softw. 79, 137–147 (2015)

    Article  Google Scholar 

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Acknowledgment

This research was supported by Thai Nguyen University of Technology.

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Authors and Affiliations

  1. Thai Nguyen University of Technology, Thai Nguyen, Vietnam

    Sy Nguyen-Van, Thi Thanh Nga Nguyen & Ngoc Nguyen-Dinh

  2. Faculty of Civil Engineering, Ho Chi Minh City University of Technology (HCMUT), Vietnam National University (VNU), Ho Chi Minh City, Vietnam

    Qui X. Lieu

Authors
  1. Sy Nguyen-Van
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  2. Thi Thanh Nga Nguyen
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  3. Ngoc Nguyen-Dinh
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  4. Qui X. Lieu
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Corresponding author

Correspondence to Sy Nguyen-Van .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Automation, Ilmenau University of Technology (IUT), Ilmenau, Germany

    Kai-Uwe Sattler

  2. Faculty of Electronic Engineering, Thai Nguyen University of Technology, Thai Nguyen, Vietnam

    Duy Cuong Nguyen

  3. Faculty of Mechanical Engineering, Thai Nguyen University of Technology, Thai Nguyen, Vietnam

    Ngoc Pi Vu

  4. Hanoi University of Science and Technology, Hanoi, Vietnam

    Banh Tien Long

  5. Institute for Automation and Systems Engineering, Ilmenau University of Technology (IUT), Ilmenau, Germany

    Horst Puta

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Nguyen-Van, S., Nguyen, T.T.N., Nguyen-Dinh, N., Lieu, Q.X. (2021). Truss Optimization Under Frequency Constraints by Using a Combined Differential Evolution and Jaya Algorithm. In: Sattler, KU., Nguyen, D.C., Vu, N.P., Long, B.T., Puta, H. (eds) Advances in Engineering Research and Application. ICERA 2020. Lecture Notes in Networks and Systems, vol 178. Springer, Cham. https://doi.org/10.1007/978-3-030-64719-3_95

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  • DOI: https://doi.org/10.1007/978-3-030-64719-3_95

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-64718-6

  • Online ISBN: 978-3-030-64719-3

  • eBook Packages: EngineeringEngineering (R0)

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