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<p>The study investigates the nonlinear dynamic response of high-speed skewed railway bridges, considering nonlinear geometric effects. The bridge is modeled using Euler-Bernoulli beam theory, with a Kelvin − Voigt material model employed to represent its properties. A model called the constant moving load model (MLM) is utilized in order to simulate the movement of trains loads. The non-linear partial differential equations governing the dynamic response are derived using von Kármán nonlinear theory and d’Alembert’s principle. These equations are then transformed into nonlinear ordinary equations using the Galerkin method. Solutions are acquired using the Runge-Kutta method (RK4) and the Finite Difference method (FDM). The study analyzes the effects of various parameters, particularly at resonance, including the skewed angle, geometric nonlinearities, axial force, internal damping, and length of the skewed bridge. The results offer insights into the vibration characteristics of geometrically nonlinear dynamic responses in high-speed skewed railway bridges, contributing to engineering understanding in this area.</p>

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Dynamic Response of High-Speed Skewed Railway Bridges Considering Geometric Nonlinearity

  • 期刊论文

  • 发表日期：

    2025年8月22日

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  • Abderrachid Afras,
  • Mohamed Amine Abid,
  • Soumaya El janous,
  • Abdelouafi El Ghoulbzouri

摘要

The study investigates the nonlinear dynamic response of high-speed skewed railway bridges, considering nonlinear geometric effects. The bridge is modeled using Euler-Bernoulli beam theory, with a Kelvin − Voigt material model employed to represent its properties. A model called the constant moving load model (MLM) is utilized in order to simulate the movement of trains loads. The non-linear partial differential equations governing the dynamic response are derived using von Kármán nonlinear theory and d’Alembert’s principle. These equations are then transformed into nonlinear ordinary equations using the Galerkin method. Solutions are acquired using the Runge-Kutta method (RK4) and the Finite Difference method (FDM). The study analyzes the effects of various parameters, particularly at resonance, including the skewed angle, geometric nonlinearities, axial force, internal damping, and length of the skewed bridge. The results offer insights into the vibration characteristics of geometrically nonlinear dynamic responses in high-speed skewed railway bridges, contributing to engineering understanding in this area.