Multi-objective design of post-tensioned concrete road bridges using artificial neural networks

  • Tatiana García-Segura
  • Víctor Yepes
  • Dan M. Frangopol


In order to minimize the total expected cost, bridges have to be designed for safety and durability. This paper considers the cost, the safety, and the corrosion initiation time to design post-tensioned concrete box-girder road bridges. The deck is modeled by finite elements based on problem variables such as the cross-section geometry, the concrete grade, and the reinforcing and post-tensioning steel. An integrated multi-objective harmony search with artificial neural networks (ANNs) is proposed to reduce the high computing time required for the finite-element analysis and the increment in conflicting objectives. ANNs are trained through the results of previous bridge performance evaluations. Then, ANNs are used to evaluate the constraints and provide a direction towards the Pareto front. Finally, exact methods actualize and improve the Pareto set. The results show that the harmony search parameters should be progressively changed in a diversification-intensification strategy. This methodology provides trade-off solutions that are the cheapest ones for the safety and durability levels considered. Therefore, it is possible to choose an alternative that can be easily adjusted to each need.


Multi-objective harmony search Artificial neural networks Post-tensioned concrete bridges Durability Safety 



The authors acknowledge the financial support of the Spanish Ministry of Economy and Competitiveness, along with FEDER funding (BRIDLIFE Project: BIA2014-56574-R) and the Research and Development Support Program of Universitat Politècnica de València (PAID-02-15).


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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Tatiana García-Segura
    • 1
  • Víctor Yepes
    • 1
  • Dan M. Frangopol
    • 2
  1. 1.Institute of Concrete Science and Technology (ICITECH)Universitat Politècnica de ValènciaValenciaSpain
  2. 2.Department of Civil and Environmental Engineering, Engineering Research Center for Advanced Technology for Large Structural Systems (ATLSS Center)Lehigh UniversityBethlehemUSA

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