绳正法在高铁曲线整道的适用性分析

Feasibility analysis of string lining method for HSR curve realignment

为研究以绳正法为代表的渐伸线方法在高速铁路曲线养护中的适用性,从而为高铁维修提供理论依据,通过建立绳正法的矩阵模型,利用条件数分析渐伸线方法的性态,并采用不确定度理论定量讨论实测正矢与拨后正矢间的误差传递关系。研究结果表明:绳正法的系统矩阵为病态,其计算对数据扰动敏感;由于计算存在累和,导致拨量与拨后正矢误差将随测桩号增加而增加,故绳正法拨道只适合短撬作业;鉴于高铁曲线正矢允差±2mm,绳正法在高铁曲线整道中并不适用,建议采用其他方法予以拨正。

In order to determine the feasibility of involute methods in HSR（High -speed rail）curves realign-ment,and provide a theoretical basis for HSR maintenance,a matrix model of string lining method was estab-lished in this paper.From its conditional number,the behavior of string lining method was discussed,and the uncertainty theory was adopted to quantitatively analyze the relationship of error transmission between measured ordinates and desired ordinates.The research results show that,string lining method is sensitive to the data dis-turbance owing to its ill-conditioned operational matrix.On account of the accumulative operation in involute al-gorithm,the error of throw and irregularity tends to increase with the increase of station numbers,so this method is only suitable for short-range operation.In view of the ordinate tolerance of HSR curves equal to 2 mm,string lining method is not applicable to HSR curve realignment,and it is recommended that HSR curves should be rea-ligned with other methods.