摘要
弦测法是测量轨道不平顺的一种基本方法,原理简单,使用方便,高效迅捷。传统观点是直接将弦测值作为轨道不平顺的近似描述,这会不可避免地因基准线变动而产生较大误差。针对该问题建立了一个描述中点弦测法本质的数学模型,分析了轨道不平顺与其弦测值之间的关系,构造了一种计算轨道不平顺精确值的迭代算法与快速算法,并采用数值仿真对弦测过程进行模拟。结果显示:迭代算法总体误差较小,传递函数较好,但由于迭代次数等原因会产生端点误差;快速算法以牺牲计算内存为代价能达到较高精度,绝对误差在1μm以内,传递函数效果极好,从而证明了所建立的数学模型的正确性与计算结果的精确性。
Chord measuring method is a basic method for measuring track irregularity,its theory is easily understood and it is convenient, quick and effective. Traditional method is considering the chord measuring value as approximate track irregularity, which inevitably leads to the big error because of the base line changing. In order to solve this problem, a mathematical model describing the nature of midpoint chord measuring method was established, the relationship between track irregularity and the chord measuring value was discussed, an iterative algorithm and a fast algorithm for calculating accurate track irregularity value were designed, the chord measuring process was simulated by numerical simulation. The results showed that the iterative algorithm has less overall error, the transfer function is good and the endpoint error occurs because of such reasons as number of iterations, while the fast algorithm achieves a high accuracy at the expense of computing memory, the absolute error of which is less than 1 μm, the effect of transfer function is excellent, which proves the correctness of the mathematical model and the accuracy of the calculation results.
出处
《铁道建筑》
北大核心
2015年第5期139-143,共5页
Railway Engineering
基金
国家自然科学基金--高铁联合基金项目(U1234201)
关键词
中点弦测法
轨道不平顺
传递函数
数学模型
Midpoint chord measuring method
Track irregularity
Transfer function
Mathematical model
