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Simultaneous topology and size optimization of locomotive structure using multinary genetic algorithms

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Abstract

Structural optimization of a typical locomotive carbody subjected to various operational loads is investigated using a simultaneous topology and size optimization approach. The proposed approach builds on a string representation of the structure in which the presence or absence of a structural element between specific nodes, as well as its cross-section, are represented by integers. Strings representing various structure topologies are then evolved according to a modified Genetic algorithm with improved genetic operators. The efficiency of the proposed model is verified through applying it to optimize the carbody structure of ER24PC locomotive. Operational load cases and performance criteria are adopted from the European standard EN12663. It is shown that the results based on the present optimal design have higher safety factors compared to the original design without a significant increase in weight. Besides, the computational cost of the optimization process is shown to be considerably less than that of the classical binary Genetic algorithm.

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References

  1. N. Randell, Fast tracking rail vehicle design, Altair CAE Technology Conference, Leamington SPA, England (2009).

    Google Scholar 

  2. J. Grandhi, D. Deaton and V. Ramana, A survey of structural and multidisciplinary continuum topology optimization post 2000, Struct. Multidisc. Optim. (2013).

    Google Scholar 

  3. G. Rozvany, Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics, Struct. Multidisc. Optim., 21 (2001) 90–108.

    Article  Google Scholar 

  4. S. Bulman, J. Sienz and E. Hinton, Comparisons between algorithms for structural topology optimization using a series ofbenchmark studies, Comput. Struct., 79 (12) (2001) 1203–1218.

    Article  Google Scholar 

  5. D. Coley, An Introduction to genetic algorithms for scientists and engineers, Singapore: World Scientific (1999).

    Book  Google Scholar 

  6. W. Jenkins, Structural optimization with the genetic algorithm, The Struct. Eng., 69 (24) (1991) 418–422.

    Google Scholar 

  7. C. Kane and M. Schoenauer, Topological optimum design using genetic algorithms, Control Cyber, 25 (5) (1996) 1059–1088.

    MathSciNet  MATH  Google Scholar 

  8. D. W. Fanjoy and A. W. Crossley, Topology design of planar cross-sections with a genetic algorithm: Part 1- Overcoming the obstacles, Engrg. Optim., 34 (1) (2002) 1–12.

    Article  Google Scholar 

  9. R. Caruana and J. Schaffer, Representation and hidden bias: Gray vs binary coding, J. Laird (Ed.), Proceedings of the Fifth International Conference Learning (1988).

    Google Scholar 

  10. D. Kalyanmoy and G. Surendra, Design of truss-structures for minimum weight using genetic algorithms, Finite Elem. Anal. Des., 37 (2001) 447–465.

    Article  Google Scholar 

  11. H. Kawamura, H. Ohmori and N. Kito, Truss topology optimization by a modified genetic algorithm, Struct. Multidisc. Optim., 23 (2002) 467–472.

    Article  Google Scholar 

  12. D. Šešok and R. Belevicius, Use of genetic algorithms in topology optimization of truss structures, MECHANIKA (2007).

    MATH  Google Scholar 

  13. W. Tang, L. Tong and Y. Gu, Improved genetic algorithm for design optimization of truss structures with sizing, shape and topology variables, Int. J. Numer. Meth. Engng., 62 (2005) 1737–1762.

    Article  MATH  Google Scholar 

  14. S. Yunkang and Y. Xin, The topolgy optimization for tress structures with stress constraints based on the Exist-Null combined moidel, Acta Mech. Sinica, 14 (4) (1998) 363–370.

    Article  Google Scholar 

  15. H. Rahamia, A. Kavehb and Y. Gholipoura, Sizing, geometry and topology optimization of trusses via force method and genetic algorithm, Eng. Struct., 30 (2008) 2360–2369.

    Article  Google Scholar 

  16. N. Norapat and B. Sujin, Simultaneous topology, shape and sizing optimisation of a three-dimensional slender truss tower using multiobjective evolutionary algorithms, Comp. and Struct., 89 (2011) 2531–2538.

    Article  Google Scholar 

  17. A. Ahrari, A. A. Atai and K. Deb, Simultaneous topology, shape and size optimization of truss structures by fully stressed design based on evolution strategy, Eng. Optim., 47 (8) (2014) 1063–1084.

    Article  MathSciNet  Google Scholar 

  18. A. Kaveh and M. Shahrouzi, Simultaneous topology and size optimization of structures by genetic algorithm using minimal length chromosome, Eng. Comput., 23 (6) (2006) 644–647.

    Article  MATH  Google Scholar 

  19. H. S. Lim, Y. W. Kim, M. H. Koo, H. I. Gimm and H. H. Yoo, Two-stage design process of a frame-panel land vehicle structure employing topology and cross section optimization, J. Mech. Sci. and Technol., 24 (10) (2010) 1963–1967.

    Article  Google Scholar 

  20. Sh. Azadi, M. Azadi and F. Zahedi, NVH analysis and improvement of a vehicle body structure using DOE method, J. Mech. Sci. and Technol., 23 (2009) 2980–2989.

    Article  Google Scholar 

  21. L. Wang and J. Leiva, Automobile body reinforcement by finite element optimization, Finite Elem., Ana. Des. (2004) 879–893.

    Google Scholar 

  22. W. Zhang, X. P. Wu and J. Zeng, An investigation into structural failures of Chinese high-speed trains, Eng. Failure Ana., 13 (2006) 427–441.

    Article  Google Scholar 

  23. J. W. Chang and Y. Sh. Lee, Topology optimization of compressor bracket, J. of Mech. Sci. and Technol., 22 (2008) 1668–1676.

    Article  Google Scholar 

  24. B. Miao, W. Zhang, J. Zhang and D. Jin, Evaluation of railway vehicle car body fatigue life and durability using multi-disciplinary analysis method, Int. J. Vehicle Struct. & Sys. (2009) 85–92.

    Google Scholar 

  25. EN 12663-1 Railway applications-structural of railway vehicle bodies, London (2010).

  26. EN 10025-3-Technical delivery conditions for normalized/normalized rolled weldable fine grain structural steels, London (2004).

  27. ERRI B12/RP17-Rolling Stock for Freight Transport, London (1997).

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Correspondence to Ali Parvizi.

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Recommended by Associate Editor Gang-Won Jang

Abolfazl Rezaei Aderiani is a structural design and finite element engineer of rolling stocks at Center of Research and Development in MAPNA Locomotive Company. He graduated in M.Sc. of Mechanical Engineering from University of Tehran (Iran) in 2012. His research activities are in fields of finite element simulations, design optimization, optimization algorithms and Solid mechanics.

Masoud S. Panahi is an Associate Professor at the School of Mechanical Engineering, University of Tehran, Iran. He received his B.Sc. and M.Sc. degrees in Mechanical Engineering from the University of Tehran in 1986 and 1988, respectively, and his Ph.D. in Mechanical Engineering from the University of Alberta, Canada in 1995. His research areas include surrogatebased optimization and evolutionary computation.

Ali Parvizi is an Assistant Professor at the School of Mechanical Engineering, College of Engineering, University of Tehran (Iran). He received his Ph.D. degree in Mechanical Engineering at the University of Tehran (Iran) in 2011. His main research activities include theoretical, numerical and experimental analysis of bulk and sheet metal forming processes. Thermo-elastoplastic analysis of structural elements made of FG materials as well as design and analysis of railway rolling stock components are the other research interest of him.

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Aderiani, A.R., Shariatpanahi, M. & Parvizi, A. Simultaneous topology and size optimization of locomotive structure using multinary genetic algorithms. J Mech Sci Technol 31, 1283–1291 (2017). https://doi.org/10.1007/s12206-017-0227-9

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  • DOI: https://doi.org/10.1007/s12206-017-0227-9

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