In order to modify the rail pre-grinding profile smoothly, non-uniform rational B-spline (NURBS)
curve with weight factors is used to establish a parameterized model of the profile. A wheel-rail contact stochastic
finite element model (FEM) is constructed by the Latin hypercube sampling method and 3D elasto-plastic FEM,
in which the wheelset’s lateral displacement quantity is regarded as a random variable. The maximum values of
nodal accumulated contact stress (NACS) and nodal mean contact stress (NMCS) in different pre-grinding profiles
with differential weight factors are calculated and taken as the training samples to establish two Kriging models.
A multi-objective optimization model of pre-grinding profile is established, in which the objective functions are
the NACS and NMCS Kriging models. The optimum weight factors are sought using a non-dominated sorting
genetic algorithm II (NSGA-II), and the corresponding optimum pre-grinding profile is obtained. The contact
stress calculation before and after optimization indicates that the maximum values of NACS and NMCS decline
significantly.
ZENG Wei (曾威)
,
QIU Wensheng (丘文生)
,
REN Tao (任涛)
,
SUN Wen (孙文)
,
YANG Yue (杨岳)
. Multi-Objective Optimization of Rail Pre-Grinding Profile in Straight Line for High Speed Railway[J]. Journal of Shanghai Jiaotong University(Science), 2018
, 23(4)
: 527
.
DOI: 10.1007/s12204-018-1974-1
[1] LIU X Y, ZHAI W M. Analysis of vertical dynamicwheel/rail interaction caused by polygonal wheels onhigh-speed trains [J]. Wear, 2014, 314(1/2): 282-290.
[2] LIU Y M, LI J Y, CAI Y L, et al. Current state and developmenttrend of rail grinding technology [J]. ChinaRailway Science, 2014, 35(4): 29-37 (in Chinese).
[3] CUERVO P A, SANTA J F, TORO A. Correlationsbetween wear mechanisms and rail grinding operationsin a commercial railroad [J]. Tribology International,2015, 82: 265-273.
[4] JIA J Z, SI D L. Target profile of rail grinding for smallradius curve of Shuohuang railway [J]. China RailwayScience, 2014, 35(4): 15-21 (in Chinese).
[5] MAGEL E E, KALOUSEK J. The application of contactmechanics to rail profile design and rail grinding[J]. Wear, 2002, 253(1/2): 308-316.
[6] ZHOU Q Y, ZHANG Y H, TIAN C H, et al. Profiledesign and test study of 60N rail [J]. China RailwayScience, 2014, 35(2): 128-135 (in Chinese).
[7] SHEN G, ZHONG X B. Implementations of newly developedwheel and rail profile design methods [J]. Journalof Traffic and Transportation Engineering, 2014,1(3): 221-227.
[8] PERSSON I, NILSSON R, BIK U, et al. Use of a geneticalgorithm to improve the rail profile on stockholmunderground [J]. Vehicle System Dynamics, 2010,48(sup1): 89-104.
[9] ZAKHAROV S, GORYACHEVA I, BOGDANOV V,et al. Problems with wheel and rail profiles selectionand optimization [J]. Wear, 2008, 265(9/10): 1266-1272.
[10] XIAO J L, LIU X Y. Design method of rail asymmetricsilhouette [J]. Journal of Southwest Jiaotong University,2010, 45(3): 361-365 (in Chinese).
[11] MA Y W, REN M F, HU G H, et al. Optimal analysison rail pre-grinding profile in high-speed railway [J].Journal of Mechanical Engineering, 2012, 48(8): 90-97 (in Chinese).
[12] PIEGL L, TILLER W. The NURBS book [M]. ZHAOG, MU G W, WANG L Z(trans). Beijing: TsinghuaUniversity Press, 2010 (in Chinese).
[13] ESPATH L F R, BRAUN A L, AWRUCH A M, et al.NURBS-based three-dimensional analysis of geometricallynonlinear elastic structures [J]. European Journalof Mechanics A/Solids, 2014, 47: 373-390.
[14] CHEN S P. Interpolation and application for cubicNURBS curves [J]. Mechanical Science and Technology,2001, 20(5): 692-693 (in Chinese).
[15] WANG K Y, ZHAI W M, CAI C B. The influence ofwheel/rail profile and the system parameters on thewheel/rail contact geometry relationship [J]. RailwayVehicles, 2002, 40(2): 14-18 (in Chinese).
[16] HOU C L, ZHAI W M, DENG R. Finite element analysisof the elastic-plastic contact of the worn wheelsand rails o curve [J]. China Railway Science, 2009,30(5): 28-33 (in Chinese).
[17] JIA G F, TAFLANIDIS A A. Kriging metamodelingfor approximation of high-dimensional wave and surgeresponses in real-time storm/hurricane risk assessment[J]. Computer Methods in Applied Mechanics and Engineering,2013, 261-262: 24-38.
[18] ZENG W, YANG Y, XIE H, et al. CF-Kriging surrogatemodel based on the combination forecastingmethod [J]. Journal of Mechanical Engineering Science,2016, 230(18): 3274-3284.
[19] ROSHANIAN J, EBRAHIMI M. Latin hypercubesampling applied to reliability-based multidisciplinarydesign optimization of a launch vehicle [J]. AerospaceScience and Technology, 2013, 28: 297-304.
[20] ZHU P, PAN F, CHEN W, et al. Lightweight designof vehicle parameters under crashworthiness using conservativesurrogates [J]. Computers in Industry, 2013,64(3): 280-289.
[21] XIE Y M, YU H P, CHEN J, et al. The reliability estimationbased on Kriging model [J]. Journal of ShanghaiJiao Tong University, 2007, 41(2): 177-180 (inChinese).
[22] ZHAO R G, LI J J. NSGA-II algorithm and its improvement[J]. Control Engineering of China, 2009,16(supl): 61-63 (in Chinese).