Train-Induced Dynamic Behavior and Fatigue Analysis of Cable Hangers for a Tied-Arch Bridge Based on Vector Form Intrinsic Finite Element

Y. F. Duan, S. K. Wu, S. M. Wang, J. D. Yau, Y. Q. Ni, C. B. Yun

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


This paper presents train-induced dynamic response and fatigue damage analyses for the hangers of a tied-arch railway bridge. A train-bridge interaction analysis is carried out using the vector form intrinsic finite element method, through which the inertial force effect of the moving train can be effectively analyzed. The responses of the bridge deck and its hangers are investigated at resonant train speeds. Significantly larger stresses are observed on the shorter hangers near the arch anchorages, which is primarily caused by the first two anti-symmetrical vibration modes. The fatigue damage to the hangers is estimated using the Palmgren-Miner model (PMM) for linear fatigue damage accumulation and the continuum damage mechanics (CDM) method for nonlinear accumulation. The mean stress effect is considered in the S-N curve primarily by Smith-Watson-Topper equation in terms of the effective stress range with a zero-mean stress. Two probability distributions for train speed are considered for the current and future operating conditions with mean speeds of 220 and 300km/h, respectively. This study found that the fatigue lives estimated by the nonlinear CDM are significantly shorter than those estimated by the linear PMM. It also found that the shortest hanger reflects the shortest fatigue life at the current operating speed, whereas the longer hanger near the third point of the bridge deck may have the shortest fatigue life at an increased speed in the future.

Original languageEnglish
Article number2250136
JournalInternational Journal of Structural Stability and Dynamics
Issue number12
Publication statusPublished - 30 Sept 2022


  • continuum damage mechanics method
  • fatigue in hangers
  • mean stress effects
  • Palmgren-Miner's method
  • Train-bridge interaction
  • vector form intrinsic finite element

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics


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