Prediction of Vertical Dynamic Vehicle–Track Interaction and Sleeper–Ballast Contact Pressure in a Railway Crossing
Paper in proceedings, 2020

The vertical dynamic vehicle–track interaction in a railway crossing is simulated in the time domain based on a moving Green’s function approach in combination with an implementation of Kalker’s variational method to solve the non-Hertzian, and potentially multiple, wheel–rail contact. The method is demonstrated by calculating the wheel–rail impact load and the sleeper–ballast contact pressure for a hollow-worn wheel profile passing over a nominal crossing geometry.

Green’s functions

Dynamic vehicle–track interaction

Railway crossing

Mitigation measures

Differential settlement


Xin Li

Chalmers, Mechanics and Maritime Sciences, Dynamics

Jens Nielsen

Chalmers, Mechanics and Maritime Sciences, Dynamics

Peter Torstensson

The Swedish National Road and Transport Research Institute (VTI)

Lecture Notes in Mechanical Engineering

21954356 (ISSN) 21954364 (eISSN)


26th Symposium of the International Association of Vehicle System Dynamics, IAVSD 2019
Gothenburg, Sweden,

Subject Categories

Applied Mechanics

Vehicle Engineering

Mathematical Analysis



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