Discrete modelling of vertical track–soil coupling for vehicle–track dynamics |
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| Institution: | 1. University of Mons – UMONS, Faculty of Engineering, Department of Theoretical Mechanics, Dynamics and Vibrations, Place du Parc 20, B-7000 Mons, Belgium;2. National Technical University of Athens – NTUA, School of Civil Engineering, Laboratory of Soil Mechanics, Iroon Polytechneiou 9, 15780 Athens, Greece;1. Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu, PR China;2. School of Civil Engineering, Central South University, Changsha, PR China;3. Railway Engineering Research Institute, China Academy of Railway Science, Beijing, PR China;4. Shuo-huang Railway development Co. Ltd., Suning, PR China;1. Train and Track Research Institute, State Key Laboratory of Traction Power, Southwest Jiaotong University, 610031 Chengdu, China;2. College of Transportation Science & Engineering, Nanjing Tech University, Nanjing, Jiangsu, China;1. Train and Track Research Institute, State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, China;2. Department of Theoretical Mechanics, Dynamics and Vibrations, Université de Mons, Belgium;1. Heriot-Watt University, Institute for Infrastructure & Environment, Edinburgh, UK;2. Department of Theoretical Mechanics, Dynamics and Vibrations, University of Mons, 31 Boulevard Dolez, B-7000 Mons, Belgium;3. University of Edinburgh, Institute for Infrastructure and Environment, School of Engineering, AGB Building, The Kings Buildings, Edinburgh, UK |
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| Abstract: | This paper presents a coupled lumped mass model (CLM model) for the vertical dynamic coupling of railway track through the soil. The well-known Winkler model and its extensions are analysed and fitted on the result obtained numerically with a finite–infinite element model in order to validate the approach in a preliminary step. A mass–spring–damper system with frequency independent parameters is then proposed for the interaction between the foundations, representing the contact area of the track with the soil. The frequency range of track–soil coupling is typically under 100 Hz. Analytical expressions are derived for calibrating the system model with homogeneous and layered half-spaces. Numerical examples are derived, with emphasis on soil stiffness and layering. The dynamic analysis of a track on various foundation models is compared with a complete track–soil model, showing that the proposed CLM model captures the dynamic interaction of the track with the soil and is reliable to predict the vertical track deflection and the reaction forces acting on the soil surface. |
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