研究目的:关于高铁无碎轨道的轨向、高低,目前存在两类评价方法,即中点矢距法及矢距差法。中点矢距法广泛应用于轨道检测,而矢距差校核由于采用绝对测量方式计算,故限制了其应用。本文从两类方法的数学模型出发,分析两类方法的异同,以便为无碎轨道的平顺性评价提供理论依据。
研究结论:(1)本文首先采用渐开线方法,建立了基于短弦中点弦测法的轨道矢距计算通式。计算机仿真验证了计算通式的准确性;(2)通过对两类方法的频域特性及误差特性的分析,认为在相同弦长条件下,相对于矢距差方法,中点矢距法具有相频无畸变、不平顺信息丰富、利于病害定位、利于动态性能评价等特点,且通过扩展算法可有效提取长波信息;(3)本文提出的轨道矢距计算通式,为无碎轨道的矢距差的快速校核提供了可能。
Research purposes:There are two methods for alignment and profile irregularities evaluation of HSR ballastless track,i. e. mid-chord offset(MCO) method and bias-chord offset differential method. MCO method has been applied in track survey field widely,but the application of bias-chord offset differential method was limited due to its dependence of absolute survey. From the mathematical model of two methods,this paper analyzed the geometric interpretations of two methods to provide the theoretical basis for HSR ballastless track irregularity evaluation.
Research conclusions:(1)On this basis,a universal algorithm for chord deflection offset was established which is based on short chord MCO data. The result of computer simulation has verified the accuracy of the universal algorithm.(2)By means of frequency characteristics and error characteristics analysis,this paper argued that:contrast with bias-chord offset differential method,MCO method has some characteristics in the same chord length,e. g. zero phase shifting, richness of irregularities information,location convenience and characterization of dynamic properties. Not only that,the MCO method is able to extract the information of long wave irregularities with extended algorithm.(3)The universal algorithm established in this paper should provide a new method for the measurement of chord deflection offset in HSR survey.