铁路既有曲线整正计算中基于坐标法的渐伸线误差分析研究

应用相关几何知识分析根据拨距计算拨后坐标以及利用公式计算渐伸线法拨后正矢的理论方法,提出将偏角法实测数据转化为坐标法需要的相关数据的方法,并且在采用相同的曲线半径及缓和曲线长度条件下,计算偏角法和坐标法各自的拨距值及其拨后正矢,将偏角法计算出的拨距值、拨后正矢和坐标法计算结果进行对比分析,从而可直观分析出运用渐伸线法计算出的拨距和拨后正矢的误差大小及规律。分析结果表明:渐伸线法计算的拨距误差和拨后正矢误差都与偏角的大小有关,渐伸线法用于大偏角曲线整正时,虽然其有一定的误差,但其计算精度可以满足曲线整正基本要求。

Study on Involute Errors in Computation of Existing Railway Curve Realignment

Applying the relevant knowledge of geometry,we analysed the theory of computing the allocated coordinates in accordance with the tracklining distance and the theory of calculating the involute allocated versine with formulas.we proposed a method for converting data measured by the deflection angle method into the relevant data essential to the coordinate method.Adopting the same radius of curve and the same length of transition curve,we computed the track lining distances and allocated versines with the deflection angle and coordinate methods respectively.Comparing the results of the two methods,we found out the magitudes and law of error of the track lining distance and allocated versine of the involute method.Analytical results indicate as follows:with the inrolute method,errors of the track lining distance and allocated versine are all related to the size of the deflection angle;when the involute method is used in rectifying curves of large deflection angles,errors of the track lining distance and allocated versine occur to a certain extent,however,the calculation accuracy can meet the basic requirements of curve realignment.