A mathematical model of train continuous motion uphill

The determination problem of adhesion coefficient of locomotives’ wheels with rails is described in this paper. The use of methods of mathematical statistics and theory of probability provides wider possibilities for determining the most acceptable (suitable) value of the adhesion coefficient. The r...

Full description

Bibliographic Details
Main Author: G. Bureika
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2008-06-01
Series:Transport
Subjects:
Online Access:http://www.transport.vgtu.lt/upload/tif_zur/2008-2-bureika.pdf
_version_ 1818436663569809408
author G. Bureika
author_facet G. Bureika
author_sort G. Bureika
collection DOAJ
description The determination problem of adhesion coefficient of locomotives’ wheels with rails is described in this paper. The use of methods of mathematical statistics and theory of probability provides wider possibilities for determining the most acceptable (suitable) value of the adhesion coefficient. The random factors influencing on this value are analysed. The use of the adhesion coefficient values based on reliable research results could help maintain uninterrupted (continuous) traffic of heavy freight trains and increase not only the carrying capacity, but also the volume of the transported goods. The paper considers a mathematical model of steady traffic of heavy freight trains pulled by upgraded locomotives of the series 2M62M on railway line with a gradient. The research results show that the actual values of the adhesion coefficient and the total resistance are distributed according to the normal distribution law. A mode of locomotive motion largely depends on the relationship between the total train’s running resistance and locomotive tractive force. Finally, basic conclusions are given.
first_indexed 2024-12-14T17:12:22Z
format Article
id doaj.art-da3a75bb21c14f849698243bf05da86e
institution Directory Open Access Journal
issn 1648-4142
1648-3480
language English
last_indexed 2024-12-14T17:12:22Z
publishDate 2008-06-01
publisher Vilnius Gediminas Technical University
record_format Article
series Transport
spelling doaj.art-da3a75bb21c14f849698243bf05da86e2022-12-21T22:53:31ZengVilnius Gediminas Technical UniversityTransport1648-41421648-34802008-06-01232135137A mathematical model of train continuous motion uphillG. BureikaThe determination problem of adhesion coefficient of locomotives’ wheels with rails is described in this paper. The use of methods of mathematical statistics and theory of probability provides wider possibilities for determining the most acceptable (suitable) value of the adhesion coefficient. The random factors influencing on this value are analysed. The use of the adhesion coefficient values based on reliable research results could help maintain uninterrupted (continuous) traffic of heavy freight trains and increase not only the carrying capacity, but also the volume of the transported goods. The paper considers a mathematical model of steady traffic of heavy freight trains pulled by upgraded locomotives of the series 2M62M on railway line with a gradient. The research results show that the actual values of the adhesion coefficient and the total resistance are distributed according to the normal distribution law. A mode of locomotive motion largely depends on the relationship between the total train’s running resistance and locomotive tractive force. Finally, basic conclusions are given.http://www.transport.vgtu.lt/upload/tif_zur/2008-2-bureika.pdfheavy freight trainstrack line gradientlocomotive tractive forcetrain continuous motioncoefficient of adhesionrunning resistance
spellingShingle G. Bureika
A mathematical model of train continuous motion uphill
Transport
heavy freight trains
track line gradient
locomotive tractive force
train continuous motion
coefficient of adhesion
running resistance
title A mathematical model of train continuous motion uphill
title_full A mathematical model of train continuous motion uphill
title_fullStr A mathematical model of train continuous motion uphill
title_full_unstemmed A mathematical model of train continuous motion uphill
title_short A mathematical model of train continuous motion uphill
title_sort mathematical model of train continuous motion uphill
topic heavy freight trains
track line gradient
locomotive tractive force
train continuous motion
coefficient of adhesion
running resistance
url http://www.transport.vgtu.lt/upload/tif_zur/2008-2-bureika.pdf
work_keys_str_mv AT gbureika amathematicalmodeloftraincontinuousmotionuphill
AT gbureika mathematicalmodeloftraincontinuousmotionuphill