### Abstract

A mathematical model of the longitudinal flexibility of a continuously welded railway track and the methodology for the analysis of the longitudinal displacement of rails under the effects of passing trains is developed to investigate the longitudinal behavior of rails. The purpose of this analysis is to explore the changes of longitudinal stress distribution in the rails due to mechanical loading applied by a travelling train. A half track system is used to derive the equations required to obtain the magnitude of deflection and force of rails and these values are scaled to produce the displacement pattern using the method of superposition. The mathematical model is translated into MATLAB and validation of the program is verified through comparisons of displacement patterns generated by a computer software LONGIN. Analysis of a straight track due to train braking was performed over a track length of 1000 m. The longitudinal displacement obtained showed that maximum longitudinal displacement occur in the middle of the track at the distance of 570 m which is in direct agreement with the published result.

Original language | English |
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Title of host publication | Fracture and Strength of Solids VII |

Pages | 801-806 |

Number of pages | 6 |

DOIs | |

Publication status | Published - 04 Feb 2011 |

Event | 8th International Conference on Fracture and Strength of Solids 2010, FEOFS2010 - Kuala Lumpur, Malaysia Duration: 07 Jun 2010 → 09 Jun 2010 |

### Publication series

Name | Key Engineering Materials |
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Volume | 462-463 |

ISSN (Print) | 1013-9826 |

### Other

Other | 8th International Conference on Fracture and Strength of Solids 2010, FEOFS2010 |
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Country | Malaysia |

City | Kuala Lumpur |

Period | 07/06/10 → 09/06/10 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering

### Cite this

*Fracture and Strength of Solids VII*(pp. 801-806). (Key Engineering Materials; Vol. 462-463). https://doi.org/10.4028/www.scientific.net/KEM.462-463.801

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*Fracture and Strength of Solids VII.*Key Engineering Materials, vol. 462-463, pp. 801-806, 8th International Conference on Fracture and Strength of Solids 2010, FEOFS2010, Kuala Lumpur, Malaysia, 07/06/10. https://doi.org/10.4028/www.scientific.net/KEM.462-463.801

**Mathematical modeling for longitudinal displacement of a straight continuously welded railway track and its numerical implementation.** / Abd. Manap, Abreeza Noorlina.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Mathematical modeling for longitudinal displacement of a straight continuously welded railway track and its numerical implementation

AU - Abd. Manap, Abreeza Noorlina

PY - 2011/2/4

Y1 - 2011/2/4

N2 - A mathematical model of the longitudinal flexibility of a continuously welded railway track and the methodology for the analysis of the longitudinal displacement of rails under the effects of passing trains is developed to investigate the longitudinal behavior of rails. The purpose of this analysis is to explore the changes of longitudinal stress distribution in the rails due to mechanical loading applied by a travelling train. A half track system is used to derive the equations required to obtain the magnitude of deflection and force of rails and these values are scaled to produce the displacement pattern using the method of superposition. The mathematical model is translated into MATLAB and validation of the program is verified through comparisons of displacement patterns generated by a computer software LONGIN. Analysis of a straight track due to train braking was performed over a track length of 1000 m. The longitudinal displacement obtained showed that maximum longitudinal displacement occur in the middle of the track at the distance of 570 m which is in direct agreement with the published result.

AB - A mathematical model of the longitudinal flexibility of a continuously welded railway track and the methodology for the analysis of the longitudinal displacement of rails under the effects of passing trains is developed to investigate the longitudinal behavior of rails. The purpose of this analysis is to explore the changes of longitudinal stress distribution in the rails due to mechanical loading applied by a travelling train. A half track system is used to derive the equations required to obtain the magnitude of deflection and force of rails and these values are scaled to produce the displacement pattern using the method of superposition. The mathematical model is translated into MATLAB and validation of the program is verified through comparisons of displacement patterns generated by a computer software LONGIN. Analysis of a straight track due to train braking was performed over a track length of 1000 m. The longitudinal displacement obtained showed that maximum longitudinal displacement occur in the middle of the track at the distance of 570 m which is in direct agreement with the published result.

UR - http://www.scopus.com/inward/record.url?scp=79551492143&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79551492143&partnerID=8YFLogxK

U2 - 10.4028/www.scientific.net/KEM.462-463.801

DO - 10.4028/www.scientific.net/KEM.462-463.801

M3 - Conference contribution

SN - 9780878492107

T3 - Key Engineering Materials

SP - 801

EP - 806

BT - Fracture and Strength of Solids VII

ER -