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为了对具有简谐波形的钢轨短波波磨进行分组与分析轮轨非稳态滚动接触的纵向蠕滑力特性,引入了波磨深度指数与波长比,采用Kalker三维滚动接触理论计算了车轮的纵向蠕滑力,并与采用稳态滚动理论计算结果进行了对比,使用频率响应的系统辨识法对纵向蠕滑力的波动分量进行了拟合,在短波波磨等深度指数条件下,用波长比的二阶传递函数描述了轮轨纵向蠕滑力的波动分量与稳态理论波动分量之间的关系,使用传递函数,由稳态纵向蠕滑力的波动分量计算了非稳态纵向蠕滑力的波动分量,进而计算了非稳态的纵向蠕滑力。计算结果表明:在小蠕滑条件下,由Kalker三维滚动接触理论计算出的纵向蠕滑力的波动分量随着波长比的变化产生明显的幅值衰减和相位滞后,波长比越大,幅值衰减越大,相位滞后越多,而稳态滚动理论的计算结果与波长比无关。由传递函数和Kalker数值理论计算的纵向蠕滑力的时域波形、频域幅值谱和相位谱相同。
In order to group and analyze the longitudinal creep characteristics of rail short-wave mill with harmonic waveform, the paper introduces the depth-of-waviness index and wavelength ratio. By using Kalker three-dimensional rolling contact theory, Longitudinal creep force, and compared with the steady-state rolling theory. The system identification method of frequency response was used to fit the fluctuation component of the longitudinal creep force. Under the condition of short depth of gyration, The second-order transfer function of ratio is used to describe the relationship between the longitudinal component of wheel-rail creep force and the steady-state theoretical fluctuation component. The transfer function is used to calculate the unsteady longitudinal creep Force fluctuation components, and then calculate the non-steady longitudinal creep force. The calculation results show that under small creep condition, the fluctuation component of longitudinal creep force calculated by Kalker’s three-dimensional rolling contact theory has significant amplitude attenuation and phase lag with the change of wavelength ratio. The larger the wavelength ratio, the larger the amplitude ratio The larger the attenuation, the more the phase lag, while the steady-state rolling theory has nothing to do with the wavelength ratio. The time domain waveform of the longitudinal creep force calculated by transfer function and Kalker numerical theory has the same frequency domain amplitude spectrum and phase spectrum.