Research On Railway Alignment Fitting And Alignment Method Based On Coordinate Method And Optimization Theory

Recent years,with the in-depth promotion of the national "One Belt And One Road" strategy,the national economy is booming,and railway transportation plays an important role in the economic development.However,under the action of natural environment and train power,a series of deformation will occur in the geometry of railway track,especially when the accumulation of permanent deformation exceeds a certain limit,it will lead to major safety hazards and seriously endanger the safety of railway operation.Especially in the traditional track structure of the three weak links "curve track,turnout,rail joint",permanent deformation is easier to accumulate.Curve track,as one of the three weak links of railway curve,has a particularly important impact on train running safety and smooth running.Under the action of natural environment and locomotive and vehicle forces,after a period of operation,a series of deformation accumulation will occur in the geometry of curved track,especially the accumulation of permanent deformation.Line overhaul is specifically based on the loss state of the line and the actual demand of transportation,the periodic and purposeful maintenance of loss line sections and their equipment,the adjustment of track geometry geometry,the improvement of vertical section design,in order to ensure the smooth and safe operation,improve the passing capacity and transportation capacity of the railway.Therefore,this paper mainly analyzes and discusses the linear alignment,linear segmentation,fitting method and optimization method of the railway by the coordinate method.The specific research contents and the conclusions obtained include the following four points:(1)carry out the reconstruction design of line plane based on the coordinate method.Firstly,deal with the curvature of all measurement points through Excel.And draw a curvature map,based on the curvature of the image changes to get the approximate demarcation point,and then be transported to Fortran programming,to get the demarcation point of line and curve;(2)line fitting is carried out by least square method to preliminarily determine the Angle between the corresponding lines,and then the curve selection is carried out among the fitted lines;(3)the calculation of the coordinate method in EXCEL,through the coordinate transformation,calculate the relevant parameters required,calculate the dial distance for the first time,take the sum of the absolute value of the dial distance or the sum of squares as the objective function,the radius and the number of segments of the relaxation curve as the objective function,plan the solution,and seek the dial distance value of the point under the combination of the optimal radius and the number of segments of the relaxation curve.(4)by optimizing the selected curve through the program,the exact ZH and HZ points are obtained.By adding constraints,the absolute value sum or the sum of squares of the dials can be optimized if the constraints are satisfied.The grid method is used to loop in the program for many times to find the optimal curve elements and select the design curve...