中国铁道科学2017，Vol.38Issue(2)：19-27,9.DOI:10.3969/j.issn.1001-4632.2017.02.04
有砟轨道轮轨力功率谱曲线的拟合模型
Curve Fitting Model for Wheel-Rail Force Power Spectrum of Ballasted Track
摘要
Abstract
The study on the wheel-rail force test data measured from the same track section shows that there is a strong similarity among the wheel-rail force measured data of different speed levels in time domain.The wheel-rail force measured data obey normal distribution characteristics and satisfy the test conditions for stationary random processes.The study also shows that there are periodic harmonic components which appear in frequency band corresponding to the specific spatial wavelength and the speed of the inspection car,and random components with different speeds appear similar change rule that can be used to describe the curve fitting modal in the power spectrum density curve of the wheel-rail force measured data.Based on this,a rational function fitting model (Rational Wheel-rail Force Model,RFM) of wheel-rail force power spectrum curve is proposed.Firstly,the original curve is smoothed by the five point three smoothing algorithm.Secondly,the Levenberg-Marquardt algorithm in the nonlinear least square method is used to fit the curve.Finally,the R2 test is used to test the fitting results.The fitting results of the power spectrum curve of the measured wheel-force data from different tracks show that the RFM with simple structure has high goodness of fitting and strong adaptability.关键词
轮轨力/功率谱/非线性最小二乘法/曲线拟合Key words
Wheel-rail force/Power spectrum/Nonlinear least square method/Curve fitting分类
交通工程引用本文复制引用
牛留斌,刘金朝,李谷,祖宏林,杨飞..有砟轨道轮轨力功率谱曲线的拟合模型[J].中国铁道科学,2017,38(2):19-27,9.基金项目
中国铁路总公司科技研究开发计划重大项目(2015G004-A-2) （2015G004-A-2）
中国铁路总公司科技研究开发计划重点项目(2015T003-B) （2015T003-B）
