Journal
APPLIED MATHEMATICAL MODELLING
Volume 76, Issue -, Pages 443-465Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2019.04.037
Keywords
Train-track interactions; Matrix formulation; Wheel-rail separation; Cyclic calculation method; Train derailment; Railway engineering
Funding
- key project of National Natural Science Foundation of China [11790283, 51735012, 51678507]
- Program of Introducing Talents of Discipline to Universities (111 Project) [B16041]
- Independent Research Project of State Key Laboratory of Traction Power [2019TPL-T10]
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This paper develops a novel three-dimensional (3-D) train-track interaction model, where the train is modelled as a group of multi-rigid-body vehicles connected by coupler and gear draft systems, and the tracks are modelled as ballastless tracks using finite element method, and finally the train and the tracks are integrated into an entire system by train rail coupling matrices. In this model, the time-dependent coupling matrices are developed to characterize the train-track interaction in 3-D space. Mostly important the difficulties in establishing dynamic equations of motion for train-track systems by matrix representations of wheel-rail separation and infinite length computation are properly solved. The numerical results show that this model has high efficiency, stability and accuracy in the calculation of train-track interactions. Besides this model can further provide insights into a number of railway dynamics related subjects, such as train-track dynamic assessment and train derailment. (C) 2019 Elsevier Inc. All rights reserved.
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