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The mechanical model of the guideway-vehicle interaction 

The mechanical model of the guideway-vehicle interaction 

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Article
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Magnetic Levitation (MAGLEV) based high-speed trains are one of the most promising means of transport for the near future. In order to optimize the relatively high investment cost of these networks, engineers need to develop accurate dynamical simulations of the whole complex MAGLEV system. It involves the proper consideration of the interactions b...

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Context 1
... train is able to move at a constant speed v relative to the guideway/terrain. See Figure 2 for the sketch of the model. The straight stress-free axis of the guideway coincides with the global coordinate axis x. ...
Context 2
... and X are measured from the left end of the guideway and the vehicle, respectively, as shown in Figure 2. The transformation between the global and the local coordinates is The solution of the coupled problem will be based on the decomposition of the displace- ment filed into the bases of the dynamical eigenmodes of both the guideway and vehicle. ...

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Citations

Article
The dynamic coupling interaction of maglev train–controller–rail–bridge (TCRB) system has the potential to induce instability of travelling maglev trains. The conventional contact-type finite element model (FEM) method is difficult in modelling the TCRB system in the presence of non-contact levitation between the maglev vehicle and guideway and in incorporating the time-variant mechanism of suspension controllers in a high-dimensional FEM. In this study, we develop a new method, which endeavours to overcome the above difficulties, for modelling the maglev TCRB system and its dynamic interaction in the context of vector mechanics (VM). The VM underlies the principles on formulating vector form intrinsic finite elements (VFIFEs) to solve problems such as large deformation, large displacement, structural discontinuity, and non-contact mechanisms. In the VM formulation, we model the vehicle bodies, suspension bogies, and electromagnets as a collection of mass particles rigidly connected or linked by spring–dashpot units, with the levitation forces between the F-type rail and electromagnets being commanded by feedback controllers. Meanwhile, the guideway, including rail and bridge, is modelled as a group of mass particles linked by VFIFEs. The equations of motion for each mass particle are solved individually without need of assembling a global stiffness matrix, thereby eliminating the problems of ill-conditioning and numerical divergence. The proposed modelling method is validated by comparing the measured vehicle and bridge responses from a full-scale maglev train during its running on a test line with the computed results by the proposed method. After validation, the vertical and pitching resonant characteristics of the maglev system and the condition to invoke levitation gap resonance are evaluated.
Article
The dynamic interaction of vehicles/bridges is an important part of the research field of the Electromagnet Suspension (EMS) maglev train. However, multiple factors affect the dynamics of the coupling system, which increases the complexity of the vehicle-bridge coupling system, and makes it difficult to analyze. Herein, combining the advantages of theoretical derivation and numerical calculation, a fast and accurate analysis method of maglev vehicle and bridge system is proposed to analyze the influence of bridge and controller on the dynamics of the maglev system. This work is directed to the Changsha maglev express line, in which the mathematical equations for the vehicle- bridge system is presented. Then the influence of the parameter on the system is analyzed. Finally, the vibration experimental test system is set up, and the vibration test of the maglev vehicle bridge is tested by the test scheme, and the experimental results data are given. The test results of vibration acceleration are in good agreement with the calculation results of the proposed method, which verifies the accuracy of the model and the analysis method. Therefore, the research in this paper can provide theoretical guidance for Maglev engineering, and the analysis method in this paper can also be used in the study of other vehicles, such as the high-speed maglev train.