Algoritem za natančen izračun potovalnih časov vlakov : diplomska naloga

Trček, Luka (author), Zgonc, Bogdan (mentor), Šemrov, Darja (co-mentor)

Diplomska naloga obravnava določanje potovalnih časov vlakov. Predstavljene so osnovne enačbe, s pomočjo katerih lahko v vsakem trenutku gibanja vlaka določimo sile, ki vplivajo na gibanje vlaka. Nato je s pomočjo drugega Newtonovega zakona o gibanju teles zapisana diferencialna enačba gibanja vlaka. V nalogi je opisan postopek, kako progo glede na hitrostne omejitve in spremembe v infrastrukturi razdeliti na različne odseke in kako to upoštevati v izračunu. Poudarek naloge je na algoritmu za določitev potovalnega časa poljubnega vlaka na poljubni progi. Algoritem zajema tako obdelavo vhodnih podatkov o vlaku in infrastrukturi kot modeliranje vlaka in proge ter reševanje enačbe gibanja z diferenciali po numerični metodi »korak za korakom«. Rešitev enačbe gibanja je najkrajši možni potovalni čas določenega vlaka na progi z znanimi karakteristikami. Algoritem za izračun potovalnih časov je implementiran s programskim jezikom Visual Basic v programu Excel. V zadnjem delu so prikazani še nekateri izračuni na konkretnih primerih, ki so lahko zanimivi tudi z vidika projektiranja.

• Language: Slovenian
• Keywords: gradbeništvo, diplomska dela, najkrajši potovalni čas, diferencialna enačba gibanja vlaka, odpor proge, odpor vlaka, vlečna sila, karakteristični odseki, hitrostni odseki, Visual Basic, algoritem
• Work type: Bachelor thesis/paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Place of publishing: Ljubljana
• Publisher: [L. Trček]
• Year: 2015
• Number of pages: XIV, 37 str., [25] str. pril.
• PID: 20.500.12556/RUL-72797
• COBISS.SI-ID: 7255137
• Publication date in RUL: 01.10.2015

Secondary language

• Language: English
• Title: Algorithm for accurate calculation of train travel times

Abstract

This thesis deals with the travel time of trains. The basic equations, which are used to determine the forces affecting the movement of trains at any given time are, presented. Newton's second law, which describes the movement of objects, was used to establish the differential equation of a train's movement. The procedure of dividing a track based on speed limits and changes in the infrastructure is described as well in this paper. The emphasis of this thesis is on the algorithm of establishing the travel time of a random train on a random track. The algorithm includes the processing of the train's and track's input data, the modelling of the train and the track and the solving of the equation of motion by a difference equation approach using the numerical »step-by-step« method as well. The solution of the equation is a certain train's shortest travel time possible. The algorithm to calculate travel time is implemented with the Visual Basic programming language in Excel. A few calculations of specific examples which can be interesting from a designing perspective are shown in the final part of the paper.

• Keywords: civil engineering, graduation thesis, shortest travel time, differential equation of a trainʼs movement, track resistance, train resistance, traction force, characteristic sections, speed sections, Visual Basic, algorithm