Abstract
In order to solve the structural optimization problem of long-span transmission tower, topology combination optimization (TCO) method and layer combination optimization (LCO) method based on discrete variables are presented, respectively. An adaptive genetic algorithm (AGA) is proposed as optimization algorithm. Four methods: cross-section size optimization (CSSO) method, shape combination optimization (SCO) method, the TCO method and the LCO method, are utilized to optimize the transmission steel tower, respectively. The topology optimization rules are presented for the TCO method, and the layering optimization rules are presented for the LCO method. A high-voltage steel tower is analyzed as a numerical example to illustrate the performance of the proposed methods. The simulation results demonstrate that the calculated results of both the proposed TCO method and the LCO method are obviously better than those of the CSSO method and the SCO method.
Similar content being viewed by others
References
Albermani F, Mahendran M, Kitipornchai S (2004) Upgrading of transmission towers using a diaphragm bracing system. Engineering Structure 26(6):735–744
Chou JH, Ghaboussi J (2001) Genetic algorithm in structural damage detection. Comput Struct 79(14):1335–1353
Guo HY, Zhang L (2004) Optimal placement of MR dampers for structural control using identification crossover genetic algorithm. J Low Freq Noise Vib Act Control 23(3):167–178
Li HN, Shi WL, Wang GX et al (2005) Simplified models and experimental verification for coupled transmission tower-line system to seismic excitations. J Sound Vib 286(3):569–585
Loredo-Souze AM, Davenport AG (2003) The influence of the design methodology in the response of transmission towers to wind loading. J Wind Eng Ind Aerodyn 91(8):995–1005
Natarajan K, Santhakumar AR (1995) Reliability-based optimization of transmission line towers. Comput Struct 55(3):387–403
Ohsaki M (2001) Random search method based on exact reanalysis for topology optimization of trusses with discrete cross-sectional areas. Comput Struct 79(6):673–679
Ohsaki M, Fujisawa K, Katoh N et al (1999) Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints. Comput Methods Appl Mech Eng 180(1–2):203–217
Rahami H, Kaveh A, Gholipour Y (2008) Sizing, geometry and topology optimization of trusses via force method and genetic algorithm. Engineering Structures 30(9):2360–2369
Rasmussen MH, Stolpe M (2008) Global optimization of discrete truss topology design problems using a parallel cut-and-branch method. Comput Struct 86(13–14):1527–1538
Shea K, Zhao X (2004) A novel noon mark cantilever support: from design generation to realization. In: The international conference on shell and spatial structures from models to realization. Montpellier, France, pp 20–24
Sivakumar P, Rajaraman A, Knight GM (2004) Object-oriented optimization approach using genetic algorithms for lattice towers. J Comput Civ Eng 18(2):162–171
Srinivas M, Patnaik LM (1994) Adaptive probabilities of crossover and mutation in gas. IEEE Trans Syst Man Cybern 24(4):656–667
Su GZ, Wang YH, Xu HX et al (2005) Structural optimum design of allotype high tower. Industrial Construction 35(2):57–59 (in Chinese)
Viswesara RG (1995) Optimum designs for transmission line towers. Comput Struct 57(1):81–92
Wang CZ, Dong GX (2001) Investigation on shape optimization of transmission tower. Journal of North China Electric Power University 28(2):100–104 (in Chinese)
Wang K, Liang B (2002) Optimization of transmission tower based on genetic algorithm. In: Proceedings of the eleventh national conference on structural engineering, vol 2. Changsha, China, pp 694–697
Xu B, Jiang J, Tong W et al (2003) Topology group concept for truss topology optimization with frequency constraints. J Sound Vib 261(5):911–925
Xu B, Jiang JS, Ou JP (2007) Integrated optimization of structural topology and control for piezoelectric smart trusses using genetic algorithm. J Sound Vib 307(3–5):393–427
Acknowledgement
This work was supported by the Fundamental Research Funds for the Central Universities (Project No. CDJZR10200007).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Guo, H.Y., Li, Z.L. Structural topology optimization of high-voltage transmission tower with discrete variables. Struct Multidisc Optim 43, 851–861 (2011). https://doi.org/10.1007/s00158-010-0561-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00158-010-0561-3