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Optimisation of polynomial railway transition curves of even degrees

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Języki publikacji
EN
Abstrakty
EN
This paper represents new results obtained by its authors while searching for the proper shape of polynomial railway transition curves (TCs). The search for the proper shape means the evaluation of the curve properties based on chosen dynamical quantities and generation of such shape with use of mathematically understood optimisation methods. The studies presented now and in the past always had got a character of the numerical tests. For needs of this work advanced vehicle model, dynamical track-vehicle and vehicle-passenger interactions, and optimisation methods were exploited. In this software complete rail vehicle model of 2-axle freight car, the track discrete model, and non-linear description on wheel-rail contact are used. That part of the software, being vehicle simulation software, is combined with library optimisation procedures into the final computer programme. The main difference between this and previous papers by the authors are the degrees of examinated polynomials. Previously they tested polynomial curves of odd degrees, now they focus on TCs of 6th, 8th and 10th degrees with and without curvature and superelevation ramp tangence in the TC’s terminal points. Possibility to take account of fundamental demands (corresponding values of curvature in terminal points) concerning TC should be preserved. Results of optimisation are compared both among themselves and with 3rd degree parabola. The aim of present article is to find the polynomial TCs’ optimum shapes which are determined by the possible polynomial configurations. Only one dynamical quantities being the results of simulation of railway vehicle advanced model is exploited in the determination of quality function (QF1). This is: minimum of integral of vehicle body lateral acceleration.
Rocznik
Strony
71--86
Opis fizyczny
Bibliogr. 19 poz., rys., tab., wykr.
Twórcy
autor
  • Warsaw University of Technology, Faculty of Transport, Warsaw, Poland, kzb@wt.pw.edu.pl
autor
Bibliografia
  • [1] AHMAD, A. and ALI, J.M., 2008. G3 transition curve between two straight lines, Computer Graphics, Imaging and Visualisation, 2008. CGIV'08. 2008, IEEE, pp. 154-159.
  • [2] AHMAD, A., GOBITHASAN, R. and ALI, J.M., 2007. G2 transition curve using quartic bezier curve, Computer Graphics, Imaging and Visualisation, 2007. CGIV'07. 2007, IEEE, pp. 223-228.
  • [3] DROŹDZIEL, J. and SOWIŃSKI, B., 2006. Railway car dynamic response to track transition curve and single standard turnout, ALLAN J. et al. , ed. In: Computers in Railways X. Computer System Design and Operation in the Railway and Other Transit Systems 2006, WIT Press, pp. 849-858.
  • [4] DUSZA, M., 2014. The study of track gauge influence on lateral stability of 4-axle rail vehicle model. Archives of Transport, 30(2), pp. 7-20.
  • [5] ESVELD, C., 1989. Modern Railway Track. Duisburg, Germany: MRT Productions.
  • [6] FISCHER, S., 2009. Comparison of railway track transition curves. Pollack Periodica. An International Journal for Engineering and Information Sciences, 4(3), pp. 99-110.
  • [7] HABIB, Z. and SAKAI, M., 2003. G2 planar cubic transition between two circles. International Journal of Computer Mathematics, 80(8), pp. 957-965.
  • [8] KARDAS-CINAL, E., 2014. Selected problems in railway vehicle dynamics related to running safety. Archives of Transport, 31(3), pp. 37-45.
  • [9] KOC, W. and MIELOSZYK, E., 1987. The Comparing Analysis of Some Transition Curves Using the Dynamic Model. Archives of Civil Engineering, 33(2), pp. 239-261.
  • [10] KOC, W. and RADOMSKI, R., 1985. Analysis of transition curves with nonlinear superelevation ramp. Drogi Kolejowe, 11, pp. 261-267.
  • [11] KUVFER, B., 2000. Optimisation of Horizontal Alignments for Railway – Procedure Involving Evaluation of Dynamic Vehicle Response, Ph.D. Thesis., Royal Institute of Technology, Stockholm, 2000.
  • [12] LI, Z., MA, L., ZHAO, M. and MAO, Z., 2006. Improvement Construction for Planar G2 Transition Curve Between Two Separated Circles. In: ALEX, V. ROV, G. VAN ALBADA, P.A. SLOOT and J. DONGARRA, eds, Computational Science - ICCS 2006, Part II, LNCS 3992. Springer Berlin Heidelberg, pp. 358-361.
  • [13] LONG, X.Y., WEI, Q.C. and ZHENG, F.Y., 2010. Dynamic analysis of railway transition curves. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 224(1), pp. 1-14.
  • [14] POMBO, J. and AMBRÓSIO, J. A., 2003. General spatial curve joint for rail guided vehicles: kinematics and dynamics. Multibody system dynamics, 9(3), pp. 237-264.
  • [15] TANAKA, Y., 1935. On the Transition Curve Considering the Effect of Variation of the Train Speed. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 15(5), pp. 266-267.
  • [16] TARI, E. and BAYKAL, O., 2005. A new transition curve with enhanced properties. Canadian Journal of Civil Engineering, 32(5), pp. 913-923.
  • [17] WOŹNICA, P., 2012. Formulation and evaluation of dynamic properties of railway transition curves using the methods of optimization and simulation, Ph.D. Thesis, Warsaw University of Technology.
  • [18] ZBOIŃSKI, K., 2004. Numerical and traditional modelling of dynamics of multi-body system in type of a railway vehicle. Archives of Transport, 16(3), pp. 82-106.
  • [19] ZBOIŃSKI, K., 2012. Nieliniowa dynamika pojazdów szynowych w łuku. (Nonlinear dynamics of railway vehicles in the curved track). Radom: Wydawnictwo Naukowe Instytutu Technologii Eksploatacji - Państwowego Instytutu Badawczego.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c29b5993-06c4-4740-b908-d06173238142
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