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Abstract

This article relates to optimization and assessment of railway polynomial transition curves. The search for the optimum shape meant here the evaluation of the transition curve properties based on chosen dynamical quantity and generation of such a curve shape. In the study, 2-axle rail vehicle was used. The rail model represented 2-axle freight car of the average values of parameters. Mathematically understood optimization methods were also applied. As the transition curve, the authors used polynomials of 9th and 11th degrees. As the criterion of the assessment, the integral of change of lateral acceleration along the route was also used. Wide range of the circular arc radii was applied by the authors. The mentioned radii were: 600 m, 900 m, 1200 m, 2000 m and 3000 m. In the work the results of the optimization – types of the curvatures of the optimum transition curves, as well as the vehicle dynamics were presented.
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Authors and Affiliations

Krzysztof Zboinski
1
ORCID: ORCID
Piotr Woznica
1
ORCID: ORCID

  1. Warsaw University of Technology, Faculty of Transport, ul. Koszykowa 75, 00-662 Warsaw, Poland
Download PDF Download RIS Download Bibtex

Abstract

This article concerns assessing the dynamical properties and shape optimization of railway transition curves (TCs) for the wide range – 600, 900, 1200, 2000, 3000, and 4000 m – of circular arc radii. The search for the optimum shape means in the current article the evaluation of the curve properties based on chosen dynamical quantities and generation of such shapes with use of a mathematically understood optimization method. As a transition curve in the studies performed, the authors adopted a polynomial of n-th degree, where n = 9 and 11. In the study one model of rail vehicle was used. The model represented 2-axle freight car of the average values of parameters. The authors took the so-called standard transition curves of 9th and 11th degrees, and 3rd degree parabola as initial transition curves in the optimization processes. As quality functions (evaluation criteria) the authors used three functions concerning lateral and vertical vehicle dynamics, and creepages in wheel-rail contact. In this work, the results of the optimization – types of the curvatures of the optimum transition curves – were presented and compared.
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Authors and Affiliations

Krzysztof Zboinski
1
ORCID: ORCID
Piotr Woznica
1
ORCID: ORCID

  1. Warsaw University of Technology, Faculty of Transport, ul. Koszykowa 75, 00-662 Warsaw, Poland

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