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

Highlights

  • The existence and efficiency of oscillation damping systems predetermine the smooth run of a vehicle on a road section

  • One of the basic elements in the running gear of a subway car is the system of oscillation damping, which is typically equipped with two spring suspension links whose parameters differ

  • Reducing the impact of track irregularities and oscillations exerted by the running gear on a crew part of the electric rolling stock is ensured by the presence of shock absorbers

Read more

Summary

A MATHEMATICAL MODEL

Kyrpychova str., 2, Kharkiv, Ukraine, 61002 **Department of Electrical Transport O. M. Beketov National University of Urban Economy in Kharkiv. Marshala Bazhanova str., 17, Kharkiv, Ukraine, 61002 ***Department of Computer Technologies and Mechatronics. Kharkiv National Automobile and Highway University Yaroslava Mudroho str., 25, Kharkiv, Ukraine, 61002

Introduction
Literature review and problem statement
The aim and objectives of the study
Conclusions
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call