Building a mathematical model of the oscillations in subway cars equipped with electromechanical shock absorbers

Authors

DOI:

https://doi.org/10.15587/1729-4061.2020.217183

Keywords:

electromechanical shock absorber, subway car, spring suspension, running gear, spatial kinematic scheme

Abstract

A mathematical model has been built of the subway car on two double-axle bogies with an axial characteristic of 20–20, whose spring suspension’s central link is equipped with springs and electromechanical dampers. A special feature of the model is its integration of such components as 17 differential equations of the second order, which describe the operation of the mechanical part «carriage-rail track», as well as 8 differential equations of the first order that describe the operation of 4 electromechanical shock absorbers. The model is complemented with three polynomials of orders 32 and 63 describing the state of the magnetic field of electromechanical shock absorbers and their electromagnetic force, as well as 4 algebraic coupling equations.

The mathematical model of the «carriage-rail track» system equipped with electromechanical shock absorbers takes into consideration the following components:

– the longitudinal and transverse oscillations by wheelsets of the car bogies and body;

– the parameters of a rail track;

– the electromagnetic features of electric shock absorbers;

– the excitation arising from a track irregularity;

– the path parameters, as well as the properties of other elements in a spring suspension.

This paper reports a study into the operation of a subway car’s spring suspension that travels over a track with a sinusoidal irregularity. The study has established that the electromechanical processes in electric shock absorbers can be divided into three parts. The oscillation free mechanical components, free components, and the forced electromagnetic components. The duration of action, the amplitudes, and nature of the oscillations’ components have been determined. The oscillation amplitude varies considerably with the increased speed: from 0.01 A and 2 V at 40 km/h up to 0.9 A and 115 V at 100 km/h. The oscillations are harmonious. The frequency of oscillations corresponds to the frequency of the track irregularity. The electric power of the electric shock absorber increases from 0.018 W at 40 km/h to 98 W at 100 km/h

Author Biographies

Borys Liubarskyi, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Professor

Department of Electrical Transport and Diesel Locomotives

Natalia Lukashova, O. M. Beketov National University of Urban Economy in Kharkiv Marshala Bazhanova str., 17, Kharkiv, Ukraine, 61002

Assistant

Department of Electrical Transport

Oleksandr Petrenko, O. M. Beketov National University of Urban Economy in Kharkiv Marshala Bazhanova str., 17, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Associate Professor

Department of Electrical Transport

Dmytro Iakunin, National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of Electrical Transport and Diesel Locomotives

Oleh Nikonov, Kharkiv National Automobile and Highway University Yaroslava Mudroho str., 25, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Professor

Department of Computer Technologies and Mechatronics

Olha Matsyi, Kharkiv National Automobile and Highway University Yaroslava Mudroho str., 25, Kharkiv, Ukraine, 61002

PhD

Department of Computer Technologies and Mechatronics

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Published

2020-12-31

How to Cite

Liubarskyi, B., Lukashova, N., Petrenko, O., Iakunin, D., Nikonov, O., & Matsyi, O. (2020). Building a mathematical model of the oscillations in subway cars equipped with electromechanical shock absorbers. Eastern-European Journal of Enterprise Technologies, 6(7 (108), 51–59. https://doi.org/10.15587/1729-4061.2020.217183

Issue

Vol. 6 No. 7 (108) (2020): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2020 Borys Liubarskyi, Natalia Lukashova, Oleksandr Petrenko, Dmytro Iakunin, Oleh Nikonov, Olha Matsyi

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