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Research on optimization method of reasonable arch axis of arch bridge based on Fourier series expansion

  • Yidian Dong
  • , Ruihong Liang
  • , Qingfei Gao*
  • *Corresponding author for this work
  • School of Transportation Science and Engineering, Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, an iterative optimization method for determining the ideal arch axis of arch bridge based on Fourier series expansion is proposed. In this method, the arch rib is discretized into multiple elements. By establishing the difference function between the initial arch axis and the ideal arch axis, introducing Fourier series expansion and boundary conditions, and taking the minimum bending energy as the optimization objective, the calculation formula of the ideal arch axis is constructed. Then the method is applied to the arch axis optimization of the actual bridge. The results show that the bending moment of the optimized arch axis under load is obviously reduced, thus improving the stability and safety of the bridge. This research provides broader options for arch axis selection and serves as a valuable reference for arch axis optimization methods in arch bridge design.

Original languageEnglish
Title of host publicationIABSE Congress Ghent 2025
Subtitle of host publicationThe Essence of Structural Engineering for Society, Proceedings
EditorsDavide Leonetti, Bert Snijder, Bart De Pauw, Bart De Pauw, Sander van Alphen
PublisherInternational Association for Bridge and Structural Engineering (IABSE)
Pages1215-1222
Number of pages8
ISBN (Electronic)9783857482106
DOIs
StatePublished - 2025
Externally publishedYes
Event2025 International Association for Bridge and Structural Engineering, IABSE 2025 - Ghent, Belgium
Duration: 27 Aug 202529 Aug 2025

Publication series

NameIABSE Congress Ghent 2025: The Essence of Structural Engineering for Society, Proceedings

Conference

Conference2025 International Association for Bridge and Structural Engineering, IABSE 2025
Country/TerritoryBelgium
CityGhent
Period27/08/2529/08/25

Keywords

  • Axial compressive force
  • Fourier series
  • Multiplicative arch bridge
  • Optimisation
  • arch axis

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