The steady vibrations and resistance of a railway track to the uniform motion of an unbalanced wheel |
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| Institution: | 1. École Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 Écully Cedex, France;2. KU Leuven, Department of Mechanical Engineering, Division PMA - Member of Flanders Make, Celestijnenlaan 300 - box 2420, Leuven, Belgium;1. Department of Industrial Engineering, University of Naples Federico II, Piazzale Tecchio 80, 80125 Naples, Italy;2. Department of Architecture and Industrial Design, University of Campania, Via San Lorenzo, 81031 Aversa, CE, Italy;3. Department of Structures for Engineering and Architecture, University of Naples Federico II, vina Claudio 21, 80125 Naples, Italy;1. Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, Jiangsu, China;2. School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, Jiangsu, China;3. College of Mechanical and Electronic Engineering, Northwest A&F University, Yangling 712100, Shaanxi, China |
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| Abstract: | A model of a railway track, in the form of an infinite Timoshenko beam resting on equally spaced massive visco-elastic supports, is considered. Steady vertical vibrations of the track due to a harmonic force moving along it at a constant velocity are investigated. The vertical displacement of the track is represented in a moving system of coordinates by a generalized Fourier series. The steady vertical vibrations of a massive rigid wheel rolling along the track at a constant velocity and loaded by a vertical harmonic force are investigated. The track-wheel interaction force is expressed as a generalized Fourier series whose coefficients are determined using an equality relating the vertical displacements of the wheel and the track. Vibrations of the wheel due to centrifugal force and periodic changes in the track parameters are considered. Parametric vibrations of a wheel moving at a constant velocity under a static load due to periodic variation in the stiffness of the track are investigated. The force with which the track resists the uniform motion of an unbalanced wheel is computed. |
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