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摘要: 为获得能够合理表征中国干线铁路轨道不平顺特征的轨道谱, 提出了一种轨道谱拟合方法。根据轨道不平顺检测数据计算实测轨道谱, 对实测轨道谱进行平滑与插值预处理, 采用直接剔除法、三点逐段平均法和包络平均法消除计算轨道谱波形上出现的较大凸凹波形, 应用3次样条插值法提高拟合的精度, 利用非线性最小二乘优化算法拟合轨道谱。拟合结果表明: 所提出的拟合方法是可行的, 拟合谱能够较好地反映中国干线铁路轨道的不平顺特征。
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关键词:
- 铁道工程 /
- 轨道谱 /
- Levenberg-Marquardt法 /
- 拟合模型 /
- 轨道不平顺
Abstract: In order to get the track spectrum that reasonably indicates the irregularity character of main line railway in China, a fitting approach of track spectrum was set up. In the approach, track irregularity data were computed to get track spectrum, track spectrum was preprocessed by using smoothness method and interpolation method, the effect of biggish salient waveforms on track spectrum was decreased by using simple elimination method, every adjacent 3-point average method and envelope-average method, the fitting precision of track spectrum was improved by using cubic spline interpolation method, and track spectrum was fitted by using nonlinear curve-fitting optimization algorithm in the least-squares sense. Fitting result shows that fitting track spectrum can accurately indicate the track irregularity character of main line railway in China, so the approach is feasible.-
Key words:
- railway engineering /
- track spectrum /
- Levenberg-Marquardt method /
- fitting model /
- track irregularity
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表 1 参数转化关系
Table 1. Transforming relation of parameters
分类PSD拟合模型 统一PSD拟合模型式(7) a b c d e k 式(2) 0 AB2 0 1 B2 0 式(3) 0 AB2 0 1 B2+C2 B2C2 式(4) AB2 0 1 B2+C2+D2 B2C2+B2D2+C2D2 B2C2D2 
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