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Identification of Transition Curves in Vehicular Roads and Railways

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the paper attention is focused on the necessity to systematize the procedure for determining the shape of transition curves used in vehicular roads and railway routes. There has been presented a universal method of identifying curvature in transition curves by using differential equations. Curvature equations for such known forms of transition curves as clothoid, quartic parabola, the Bloss curve, cosinusoid and sinusoid, have been worked out and by the use these equations it was possible to determine some appropriate Cartesian coordinates. In addition some approximate solutions obtained in consequence of making certain simplifying assumptions orientated mainly towards railway routes, have been provided. Notice has been taken of limitations occurring in the application of smooth transition curves in railway systems, which can be caused by very small values of the horizontal ordinates in the initial region. This problem has provided an inspiration for finding a new family of the so-called parametric transition curves, being more advantageous not only over the clothoid but also over cubic parabola as far as dynamics is concerned.
Rocznik
Strony
31--42
Opis fizyczny
Bibliogr. 43 poz., rys., tab.
Twórcy
autor
  • Gdansk University of Technology, Poland
Bibliografia
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  • [16] Kobryn A.: New solutions for general transition curves. Journal of Surveying Engineering 2014, 2, 140(1), 12-21.
  • [17] Koc W.: Transition curves with nonlinear superelevation ramps under service conditions of P.K.P (Polish National Railways). Zeszyty Naukowe Politechniki Gdanskiej 1990, No. 462, Civil Engineering series No. XLVII, 3−129, Gdansk, Poland (in Polish).
  • [18] Koc W.: Parametric transition curve for railways. Przeglad Komunikacyjny 2011, No. 3-4, 52–56 (in Polish).
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  • [34] Walton D. J., Meek D. S., Ali J. M.: Planar G2 transition curves composed of cubic B´ezier spiral segments. Journal of Computational and Applied Mathematics 2003, 157 (2), 453–476.
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  • [38] Zboinski K.: Numerical studies on railway vehicle response to transition curves with regard to their different shape. Archives of Civil Engineering 1998, XLIV (2), 151-181.
  • [39] Zboinski K.: The importance of kinematics accuracy in modelling the dynamics of rail vehicle moving in a curved track with variable velocity. International Journal of Heavy Vehicle Systems 2011, 18 (4), 411-446.
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  • [42] Ziatdinov R.: Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function. Computer Aided Geometric Design 2012, 10, 29(7), 510-518.
  • [43] Ziatdinov R., Yoshida N., Kim T.: Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions. Computer Aided Geometric Design 2012, 29 (2), 129–140.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-88c782f0-46e8-4398-9746-191498ef398e
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