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一、引言在铁路校正、改建曲线以及设计第二线和旧线测量中,都要遇到选配最佳曲线半径问题。选配方法很多,主要有角图法和理论渐伸线法,这两个方法都不能直接求得拨道工程量最小的最佳曲线半径。本文根据角图原理与最小二乘法原理,导出单曲线最佳曲线半径计算公式,不需绘制角图即能求得使曲线各测点拨距的平方和为最小的最佳曲线半径,从而克服了角图法与理论渐
I. INTRODUCTION In the course of railway calibration and reconstruction, as well as the design of the second line and the old line, the optimal curve radius should be encountered. There are many matching methods, mainly the angle graph method and the theory of involute line method, and neither of these two methods can directly obtain the optimal curve radius with the least amount of dialing volume. In this paper, according to the principles of the histogram and the least square method, the formula of the optimal curve radius of the single curve is deduced, which can overcome the problem that the square sum of the square of each measuring point of the curve is the minimum, Angle chart theory and theory gradually