DOI QR코드

DOI QR Code

Optimization of a composite beam for high-speed railroads

  • Poliakov, Vladimir Y. (Bridges and Tunnels Department, Russian University of Transport) ;
  • Saurin, Vasyli V. (Institute of Problems of Mechanics, Russian Academy of Sciences)
  • 투고 : 2019.12.12
  • 심사 : 2020.11.02
  • 발행 : 2020.11.25

초록

The paper describes an optimization method based on the mathematical model of interaction within multibody 'bridge-track-cars" dynamic system. The interaction is connected with considerable dynamic phenomena influenced by high traffic speed (up to 400 km/h) on high-speed railroads. The trend analysis of a structure is necessary to determine the direction and resource of optimizing the system. Thus, scientific methods of decision-making process are necessary. The process requires a great amount of information analysis dealing with behavior and changes of the "bridge-track-cars system" that consists of mechanisms and structures, including transitions. The paper shows the algorithm of multi-criteria optimization that can essentially reduce weight of a bridge superstructure using big data analysis. This reduction is carried out in accordance with the constraints that have to be satisfied in any case. Optimization of real steel-concrete beam is exemplified. It demonstrates possibility of measures that are offered by the algorithm.

키워드

과제정보

The research described in this paper was performed in Russian University of Transport and is supported by the Russian Science Foundation (grant 21-19-00023).

참고문헌

  1. Abrate, S. (1995), "Vibration of non-uniform rods and beams", J. Sound Vib., 185(4), 703-716. https://doi.org/10.1006/jsvi.1995.0410.
  2. Amini, A., Mohammadimehr, M. and Faraji, A. (2019), "Active control to reduce the vibration amplitude of the solar honeycomb sandwich panels with CNTRC facesheets using piezoelectric patch sensor and actuator", Steel Compos. Struct., 33(5), 671-686. https://doi.org/10.12989/scs.2019.32.5.671.
  3. Asgari, M., Babaee, A. and Jamshidi, M. (2018), "Multi-objective optimization of tapered tubes for crashworthiness by surrogate methodologies", Steel Compos. Struct., 27(4), 427-438. https://doi.org/10.12989/scs.2018.27.4.427.
  4. Auciello, N.M. (2001), "On the transverse vibrations of non-uniform beams with axial loads and elastically restrained ends", Int. J. Mech. Sci., 43, 193-208. https://doi.org/10.1016/S0020-7403(99)00110-1.
  5. Bagherinejad, M. and Haghollahi, A. (2018), "Topology optimization of steel plate shear walls in the moment frames", Steel Compos. Struct., 29(6), 771-783. https://doi.org/10.12989/scs.2018.29.6.771.
  6. Bamdad, M., Mohammadimehr, M. and Alambeigi, K. (2020), "Bending and buckling analysis of sandwich Reddy beam considering shape memory alloy wires and porosity resting on Vlasov's foundation", Steel Compos. Struct., 36 (6), 672-687. https://doi.org/10.12989/scs.2020.36.6.671.
  7. Banh, T.T., Shin, S. and Lee, D. (2018), "Topology optimization for thin plate on elastic foundations by using multi-material", Steel Compos. Struct., 27(2), 177-184. https://doi.org/10.12989/scs.2018.27.2.177.
  8. Banh, T.T. and Lee, D. (2018), "Multi-material topology optimization of Reissner-Mindlin plates using MITC4", Steel Compos. Struct., 27(1), 27-33. https://doi.org/10.12989/scs.2018.27.1.027.
  9. Carrera, E., Giunta, G., Nali. P. and Petrolo, M. (2010), "Refined beam elements with arbitrary cross-section geometries", Compos. Struct., 88(5), 283-293. https://doi.org/10.1016/j.compstruc.2009.11.002.
  10. Caruntu, D.I. (2000), "On nonlinear vibration of non-uniform beam with rectangular cross-section and parabolic thickness variation", Solid Mech. Appl., 73, 109-118. https://doi.org/10.1007/978-94-011-4229-8_12.
  11. Chaudhari, T.D. and Maiti, S.K. (1999), "Modelling of transverse vibration of beam of linearly variable depth with edge crack", Eng. Fra. Mech., 63, 425-445. https://doi.org/10.1016/S0013-7944(99)00029-6.
  12. Chen, C., et al. (2019), "Optimum cost design of frames using genetic algorithms", Steel Compos. Struct., 30(3), 293-304. https://doi.org/10.12989/scs.2019.30.3.293.
  13. Choudhary, P. and Jana, P. (2018), "Position optimization of circular/elliptical cutout within an orthotropic rectangular plate for maximum buckling load", Steel Compos. Struct., 29(1), 39-51. https://doi.org/10.12989/scs.2018.29.1.039
  14. Cranch, E.T. and Adler A. (1956), "Bending vibrations of variable section beams", Am. Soc. Mech. Eng., 23, 103-108.
  15. Elishakoff, I. (2004), Eigenvalues of Inhomogeneous Structures: Unusual Closed-form Solutions, CRC Press, Boca Raton, FL, USA. https://doi.org/10.1201/9781420038019.
  16. Fedorik, F., Kala, J., Haapala, A. and Malaska, M. (2016), "Use of design optimization techniques in solving typical structural engineering related design optimization problems", Struct. Eng. Mech., 55(6), 1121-1137. https://doi.org/10.12989/sem.2016.55.6.591.
  17. Franciosi, C. and Mecca, M. (1998), "Some finite elements for the static analysis of beams with varying cross section", Compos. Struct., 69(2), 191-196. https://doi.org/10.1016/S0045-7949(98)00094-7.
  18. Grzywinski, M., Selejdak, J. and Dede T. (2019), "Shape and size optimization of trusses with dynamic constraints using a metaheuristic algorithm", Steel Compos. Struct., 33(5), 747-753. https://doi.org/10.12989/scs.2019.33.5.747.
  19. Guo, W, Xia H, et al. (2012), Integral model for train-track-bridge interaction on the Sesia viaduct: dynamic simulation and critical assessment. Copt. Str., 112, 205-216. https://doi.org/10.1016/j.compstruc.2012.09.001
  20. Haug, E. and Arora, J., (1979), Applied Optimal Design. Mechanical and Structural Systems. John Wiley and sons, New York, USA.
  21. Ho-Huu, V., Vo-Duy, T., Duong-Gia D. and Nguyen-Thoi T. (2018), "An efficient procedure for lightweight optimal design of composite laminated beams", Steel Compos. Struct., 27(3), 297-310. https://doi.org/10.12989/scs.2018.27.3.297
  22. Kundu, B. and Ganguli, R. (2020), "Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis", Acta Mechanica, 231(11),.4421-4444. https://doi.org/10.1007/s00707-020-02773-w
  23. Lei, X. (2015), High Speed Railway Track Dynamics: Models, Algorithms and Applications, East China Jiaotong University Nanchang, China. https://doi.org/10.1007/978-981-10-2039-1.
  24. Lizhong, J., Yulin, F., Wangbao, Z. and Binbin, H. (2019), "Vibration characteristic analysis of high-speed railway simply supported beam bridge-track structure system", Steel Compos. Struct., 31(6), 591-600. https://doi.org/10.12989/scs.2019.31.6.591.
  25. Luo, X. and Qin, Y. (2018), Hybrid Machining: Theory, Methods, and Case Studies. Academic Press, London, UK.
  26. Meymand, S.Z., Keylin, A. and Ahmadian, M. (2016), "A survey of wheel-rail contact models for rail vehicles", Veicleh Syst Dyn., 54, 386-428. https://doi.org/10.1080/00423114.2015.1137956.
  27. Poliakov V. (1994), "The interaction of rolling stock with elements of a bridge at high speed motion", Doctor of Sciences (Tech.) Dissertation. Moscow Railroad Engineering Institute, Moscow. (in Russian).
  28. Poliakov, V.Y. and Dang, Ngok Than, (2018), "Ballastless bridge deck for HSR", World of Transport and Transportation, 16(2), 36-55.
  29. Poliakov, V. (2017), "Interaction Optimization in Multibody Dynamic System", Int. J. Theo. App. Mech., 2, 43-51.
  30. Poliakov, V. (2018), "Optimization Facilities for Bridges and Track on High Speed Railways", Ingeneria Ferroviaria, Trans. Sci. and Ec. J., 3, 191-205.
  31. Rosa, M.A. De and Auciello, N.M. (1996), "Free vibrations of tapered beams with flexible ends", Comput. Struct., 60(2), 197-202. https://doi.org/10.1016/0045-7949(95)00397-5.
  32. Sarkar, K., Ganguli, R. and Elishakoff, I. (2016), "Closed-form solutions for non-uniform axially loaded Rayleigh cantilever beams", Struct. Eng. Mech., 60(3), 455-470. https://doi.org/10.12989/sem.2016.60.3.455
  33. Saurin, V.V. (2019), "Analysis of Dynamic Behavior of Beams with Variable Cross-section", Lobachevskii J. Math., 40(3), 364-374. https://doi.org/10.1134/S1995080219030168
  34. Wasiutynski, Z. and Brandt, A. (1963), "The present state of knowledge in the field optimum design of structures", Appl. Mech. Revs, 16(5), 341-350.
  35. Xia, H., Zhang, N. and Guo, W. (2018), Dynamic Interaction of Train-Bridge Systems in High-Speed Railways. Theory and Applications, Beijing Jiaotong University Press and Springer-Verlag GmbH Germany. https://doi.org/10.1007/978-3-662-54871-4
  36. Zhai, W., Han, Z., Chen, Z., Ling, L. and Zhu, S. (2019), "Train-track-bridge dynamic interaction: a state-of-the-art review", Vehicle Syst. Dyn., https://doi.org/10.1080/00423114.2019.1605085.