Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Colliding bodies optimization for size and topology optimization of truss structures

  • Kaveh, A. (Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology) ;
  • Mahdavi, V.R. (School of Civil Engineering, Iran University of Science and Technology)
  • Received : 2014.04.18
  • Accepted : 2014.10.02
  • Published : 2015.03.10
⟨ Previous Next ⟩

Abstract

This paper presents the application of a recently developed meta-heuristic algorithm, called Colliding Bodies Optimization (CBO), for size and topology optimization of steel trusses. This method is based on the one-dimensional collisions between two bodies, where each agent solution is considered as a body. The performance of the proposed algorithm is investigated through four benchmark trusses for minimum weight with static and dynamic constraints. A comparison of the numerical results of the CBO with those of other available algorithms indicates that the proposed technique is capable of locating promising solutions using lesser or identical computational effort, with no need for internal parameter tuning.

Keywords

Acknowledgement

Supported by : National Science Foundation

References

  1. Deb, K. and Gulati, S. (2001), "Design of truss-structures for minimum weight using genetic algorithms", Finite Elem. Anal. Des., 37(5), 447-465. https://doi.org/10.1016/S0168-874X(00)00057-3
  2. Dorigo, M., Maniezzo, V. and Colorni, A. (1996), "The ant system: optimization by a colony of cooperating agents", IEEE Tran. Syst. Man Cybern. B, 26(1), 29-41. https://doi.org/10.1109/3477.484436
  3. Eberhart, R.C. and Kennedy, J. (1995), "A new optimizer using particle swarm theory", Proceedings of the 6th International Symposium on Micro Machine and Human Ccience, Nagoya, Japan.
  4. Erol, O.K. and Eksin, I. (2006), "New optimization method: Big Bang-Big Crunch", Adv. Eng. Softw., 37(2), 106-111. https://doi.org/10.1016/j.advengsoft.2005.04.005
  5. Eskandar, H. Sadollah, A., Bahreininejad, A. and Hamedi, M. (2012), "Water cycle algorithm - a novel metaheuristic optimization method for solving constrained engineering optimization problems", Comput. Struct., 110-111,151-166. https://doi.org/10.1016/j.compstruc.2012.07.010
  6. Gholizadeh, S., Salajegheh, E. and Torkzadeh, P. (2008), "Structural optimization with frequency constraints by genetic algorithm using wavelet radial basis function neural network", J. Sound Vib., 312(1-2), 316-331. https://doi.org/10.1016/j.jsv.2007.10.050
  7. Kaveh, A. (2014), Advances in meta-heuristic algorithms for optimal design of structures, Springer Verlag, Switzerland.
  8. Kaveh, A. and Ahmadi, B. (2014), "Sizing, geometry and topology optimization of trusses using force method and supervised charged system search", Struct. Eng. Mech., 50(3), 365-382 . https://doi.org/10.12989/sem.2014.50.3.365
  9. Kaveh, A. and Mahdavai, V.R. (2014a), "Colliding bodies optimization: A novel meta-heuristic method", Comput. Struct., 139,18-27. https://doi.org/10.1016/j.compstruc.2014.04.005
  10. Kaveh, A. and Mahdavai, V.R. (2014b), "Colliding bodies optimization method for optimum design of truss structures with continuous variables", Adv. Eng. Softw., 70, 1-12. https://doi.org/10.1016/j.advengsoft.2014.01.002
  11. Kaveh, A. and Talatahari, S. (2010), "A novel heuristic optimization method: charged system search", Acta Mech., 213(13-14), 267-289. https://doi.org/10.1007/s00707-009-0270-4
  12. Kaveh, A. and Zolghadr, A. (2013), "Topology optimization of trusses considering static and dynamic constraints using the CSS", Appl. Soft Comput., 13(5), 27-34. https://doi.org/10.1016/j.asoc.2012.08.038
  13. Kutylowski, R. and Rasiak, B. (2014), "The use of topology optimization in the design of truss and frame bridge girders", Struct. Eng. Mech., 51(1), 67-88. https://doi.org/10.12989/sem.2014.51.1.067
  14. Miguel, L.F.F., Lopez, R.H. and Miguel, L.F.F. (2013), "Multimodal size, shape, and topology optimisation of truss structures using the Firefly algorithm", Adv. Eng. Softw., 56, 23-37. https://doi.org/10.1016/j.advengsoft.2012.11.006
  15. Wang, Y.F. and Sun, H.C. (1995), "Optimal topology designs of trusses with discrete size variables subjected to multiple constraint and loading cases", Acta Mech. Sinica., 27, 365-369.
  16. Xu, B., Jiang, J., Tong, W. and Wu, K. (2003), "Topology group concept for truss topology optimization with frequency constraints", J. Sound Vib., 261(5), 911-925. https://doi.org/10.1016/S0022-460X(02)01021-0
  17. Yang, X.S. (2011), "Bat algorithm for multi-objective optimization", Int. J. Bio-Inspir. Comput., 3(5), 267-274. https://doi.org/10.1504/IJBIC.2011.042259

Cited by

  1. Size, shape, and topology optimization of planar and space trusses using mutation-based improved metaheuristics 2017, https://doi.org/10.1016/j.jcde.2017.10.001
  2. Optimum topology design of geometrically nonlinear suspended domes using ECBO vol.56, pp.4, 2015, https://doi.org/10.12989/sem.2015.56.4.667
  3. Enhanced Two-Dimensional CBO Algorithm for Design of Grillage Systems vol.41, pp.3, 2017, https://doi.org/10.1007/s40996-017-0059-y
  4. Modified meta-heuristics using random mutation for truss topology optimization with static and dynamic constraints vol.4, pp.2, 2017, https://doi.org/10.1016/j.jcde.2016.10.002
  5. Topology and Size Optimization of Trusses with Static and Dynamic Bounds by Modified Symbiotic Organisms Search vol.32, pp.2, 2018, https://doi.org/10.1061/(ASCE)CP.1943-5487.0000741
  6. Inductive analysis of the deflection of a beam truss allowing kinematic variation vol.239, pp.2261-236X, 2018, https://doi.org/10.1051/matecconf/201823901012
  7. Analytical calculation of the deflection of the lattice truss vol.193, pp.2261-236X, 2018, https://doi.org/10.1051/matecconf/201819303015
  8. Analytical calculation of the deflection of an externally statically indeterminate lattice truss vol.265, pp.2261-236X, 2019, https://doi.org/10.1051/matecconf/201926505027
  9. Analytical calculation of the combined suspension truss vol.265, pp.2261-236X, 2019, https://doi.org/10.1051/matecconf/201926505025
  10. Numbers Cup Optimization: A new method for optimization problems vol.66, pp.4, 2015, https://doi.org/10.12989/sem.2018.66.4.465
  11. Critical Evaluation of Metaheuristic Algorithms for Weight Minimization of Truss Structures vol.5, pp.None, 2015, https://doi.org/10.3389/fbuil.2019.00113
  12. A novel self-adaptive hybrid multi-objective meta-heuristic for reliability design of trusses with simultaneous topology, shape and sizing optimisation design variables vol.60, pp.5, 2015, https://doi.org/10.1007/s00158-019-02302-x
  13. Reliability-based Design with Size and Shape Optimization of Truss Structure Using Symbiotic Organisms Search vol.506, pp.None, 2020, https://doi.org/10.1088/1755-1315/506/1/012047
  14. A New Hybrid Algorithm for Cost Optimization of Waffle Slab vol.28, pp.3, 2015, https://doi.org/10.2478/sjce-2020-0022
  15. Simultaneous sizing, shape, and layout optimization and automatic member grouping of dome structures vol.28, pp.None, 2015, https://doi.org/10.1016/j.istruc.2020.10.016
  16. Optimum design of shape and size of truss structures via a new approximation method vol.76, pp.6, 2015, https://doi.org/10.12989/sem.2020.76.6.799
  17. A new second-order approximation method for optimum design of structures vol.19, pp.1, 2015, https://doi.org/10.1080/14488353.2020.1798039
  18. Topology Optimisation in Structural Steel Design for Additive Manufacturing vol.11, pp.5, 2015, https://doi.org/10.3390/app11052112