基于谐波合成法的轨道随机不平顺数值模拟
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摘要
针对轨道不平顺所致的列车随机振动问题,采用单维单变量随机场谐波合成法,引入轨道垂向、轨向及水平交叉谱的影响,以轨道不平顺谱为输入,对轨道不平顺过程进行模拟。通过对模拟样本的谱密度函数、相关函数检验验证表明,谐波合成法能有效地模拟出符合要求的随机样本,为轨道随机振动分析提供恰当的时域输入函数。以美国第6级线路轨道垂向不平顺功率谱为输入谱的数值算例,用谐波合成法模拟的轨道时域样本及其功率谱密度,与目标谱吻合较好。
Aimed at the random vibrations caused by railway tract irregularity,by introducing the cross-spectra of vertical,directional and plane railway track irregularity,and taken PSD of tract irregularity as input,stochastic track irregularity was simulated using method of 1V-1D harmonic synthesis,the validation result of the power spectral density function and the cross-correlation function of the simulation sample shows that the proposed method can simulate the target stochastic samples effectively to provide suitable input functions in time domain for railway track random vibration analysis.The numerical example of simulation of track irregularity samples in time domain and its PSD by the method of harmonic synthesis that taken American 6th grade rack vertical irregularity as inputting PSD are consistent with the goal spectrum.
引文
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