Skip to main content
Log in

Optimal synthesis method for transmission tower truss structures subjected to static and seismic loads

  • Industrial applications
  • Published:
Structural and Multidisciplinary Optimization Aims and scope Submit manuscript

Abstract

In this study, an efficient optimal synthesis method for determining the optimum solutions for the structural shape, cross-sectional dimensions, and material type of all member elements of large-scale transmission tower truss structures subjected to static and seismic loads is presented. The method is developed by using the dual method, the response spectrum method, suboptimization techniques, and a two-stage optimization process. The example of a cost-minimization problem for a 218-bar transmission tower truss that considers not only the material costs but also the cost of land as objective functions is presented to demonstrate the rigorousness, efficiency, and reliability of the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Balling, R.J. 1991: Optimal steel frame design by simulated annealing. J. Struct. Eng. 117(6), 1780–1795

    Google Scholar 

  2. Bathe, K.J.; Wilson, E.L. 1976: Numerical Methods in Finite Element Analysis. Englewood Cliffs: Prentice-Hall

  3. Bennage, W.A.; Dhingra, A.K. 1995: Single and multi-objective structural optimization in discrete-continuous variables using simulated annealing. Int. J. Numer. Methods Eng. 38, 2753–2773

    Google Scholar 

  4. Fleury, C.; Braibant, V. 1986: Structural optimization; a new dual method using mixed variables. Int. J. Numer. Methods Eng. 23, 409–428

    Google Scholar 

  5. Grierson, D.E.; Pak, W.H. 1993: Optimal sizing, geometrical and topological design using a genetic algorithm. Struct. Optim. 6, 151–159

    Google Scholar 

  6. Groenwold, A.A.; Stander, N. 1997: Optimal discrete sizing of truss structures subject to buckling constraints. Struct. Optim. 14, 71–80

    Google Scholar 

  7. Hajera, P.; Lin, C.Y. 1992: Genetic search strategies in multicriterion optimal design. Struct. Optim. 4, 99–107

    Google Scholar 

  8. Japan Road Association 1990: Specifications for highway bridges, steel bridges, Part V seismic design. Tokyo: Maruzen (in Japanese)

  9. Japan Road Association 1995: Specifications for highway bridges, Part II steel bridges. Tokyo: Maruzen (in Japanese)

  10. Kallassy, A.; Marcelin, J.L. 1997: Optimization of stiffened plates by genetic search. Struct. Optim. 13, 134–141

    Google Scholar 

  11. Kogiso, N.; Watson, L.T.; Gurdal, Z.; Haftka, R.T. 1994: Genetic algorithms with local improvement for composite laminate design. Struct. Optim. 7, 207–218

    Google Scholar 

  12. May, S.A.; Balling, R.J. 1992: A filtered simulated annealing strategy for discrete optimization of 3D steel flameworks. Struct. Optim. 4, 142–148

    Google Scholar 

  13. Nelson, R.B. 1976: Simplified calculation of eigenvector derivatives. AIAA J. 14(9), 1201–1205

    Google Scholar 

  14. Ohkubo, S. 1970: Optimization of truss using suboptimization of member. Trans. JSCE 2, Part I, 111–118

  15. Okumura, T.; Ohkubo, S. 1973: Optimum design of steel continuous girders using suboptimization of girder elements. Proc. JSCE 215, 1–14 (in Japanese)

  16. Ohkubo, S.; Okumura, T. 1976: Structural system optimization based on suboptimizing method of member elements. Preliminary Report of Tenth Congress, IABSE, pp. 163–168

  17. Ohkubo, S.; Asai, K. 1992: A hybrid optimal synthesis method for truss structures considering shape, material and sizing variables. Int. J. Numer. Methods Eng. 34, 839–851

    Google Scholar 

  18. Ohkubo, S.; Taniwaki, K.; Asai, K. 1993: Optimal structural synthesis utilizing shape, material and sizing sensitivities, In: Kleiber, M.; Hisada, T. (eds.) Design Sensitivity Analysis, pp. 164–188. Atlanta: Atlanta Technology Publications

  19. Ohkubo, S.; Taniwaki, K. 1995: Total optimal synthesis method for truss structures subject to static and frequency constraints. Microcomput. Civ. Eng. 10, 39–50

    Google Scholar 

  20. Osyczka, A.; Kundu, S. 1995: A new method to solve generalized multicriteria optimization problems using the simple genetic algorithm. Struct. Optim. 10, 94–99

    Google Scholar 

  21. Pierson, B.L. 1972: A survey on optimal structural design under dynamic constraints. Int. J. Numer. Methods Eng. 4, 491–499

    Google Scholar 

  22. Salajegheh, E.; Vanderplaats, G.N. 1993: Optimum design of trusses with discrete sizing and shape variables. Struct. Optim. 6, 79–85

    Google Scholar 

  23. Sousa, L.G.; Cardoso, J.B. 1997: Optimal cross-section and configuration design of elastic-plastic structures subject to dynamic cyclic loading. Struct. Optim. 13, 112–118

    Google Scholar 

  24. Wang, P.P.; Chen, D. 1996: Continuous optimization by a variant of simulated annealing. Comput. Optim. Appl. 6, 59–71

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. Taniwaki.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Taniwaki, K., Ohkubo , S. Optimal synthesis method for transmission tower truss structures subjected to static and seismic loads. Struct Multidisc Optim 26, 441–454 (2004). https://doi.org/10.1007/s00158-003-0367-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00158-003-0367-7

Keywords

Navigation