Background <p>Although a periodic approach has been applied in the analysis of track dynamics, comprehensive assessments of rail system behavior resulting from vehicle passage over tracks affected by stochastic geometric imperfections remain scarce.</p> Purpose <p>In the present study, a periodic analytical framework is established to assess the dynamic performance of the train–track system as the vehicle travels along rails affected by stochastic track irregularities.</p> Methodology <p>In this model, each railway vehicle is modelled using a carbody, two bogies together with four wheelsets, coupled by spring–damper systems. Accordingly, the vehicle is characterized by 10 degrees of freedom, including the vertical displacement and pitch rotation associated with the carbody and bogies, together with the vertical displacement of the wheelsets. The track is modeled as a discretely supported repeating-infinite system, where the rail is idealised as an Euler–Bernoulli beam extending infinitely in the longitudinal direction. The excitation model adopts moving excitation. Linear elastic elements are also introduced to establish the interaction from the vehicle to the track. A strategy that represents the wheel–rail contact force through the combination of multiple harmonic excitations is first proposed. Then, vehicle dynamics can be directly used to solve the vehicle response, while periodic-Fourier method is used to solve the track response.</p> Conclusion <p>The simulated outcomes derived from the proposed model are compared against another theoretical model, the new model is verified. The investigations and discussions on the coupled train-track systems are also given.</p>

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Periodic Analytical Modelling for Dynamic Analysis of Train–track Coupling Systems

  • Longxiang Ma,
  • Yuqi Liu,
  • Haijiang Zhu,
  • Ding Long,
  • Lihui Xu

摘要

Background

Although a periodic approach has been applied in the analysis of track dynamics, comprehensive assessments of rail system behavior resulting from vehicle passage over tracks affected by stochastic geometric imperfections remain scarce.

Purpose

In the present study, a periodic analytical framework is established to assess the dynamic performance of the train–track system as the vehicle travels along rails affected by stochastic track irregularities.

Methodology

In this model, each railway vehicle is modelled using a carbody, two bogies together with four wheelsets, coupled by spring–damper systems. Accordingly, the vehicle is characterized by 10 degrees of freedom, including the vertical displacement and pitch rotation associated with the carbody and bogies, together with the vertical displacement of the wheelsets. The track is modeled as a discretely supported repeating-infinite system, where the rail is idealised as an Euler–Bernoulli beam extending infinitely in the longitudinal direction. The excitation model adopts moving excitation. Linear elastic elements are also introduced to establish the interaction from the vehicle to the track. A strategy that represents the wheel–rail contact force through the combination of multiple harmonic excitations is first proposed. Then, vehicle dynamics can be directly used to solve the vehicle response, while periodic-Fourier method is used to solve the track response.

Conclusion

The simulated outcomes derived from the proposed model are compared against another theoretical model, the new model is verified. The investigations and discussions on the coupled train-track systems are also given.