考虑轮辙相干性的二维随机路面的构造方法

Model for the construction of 2D road roughness in consideration of the coherence function between different wheel tracks

基于路面不平度数值重构的谐波叠加法,在综合考虑路面功率谱密度及不同轮辙间相干函数的情况下,提出了一种在单轮辙谐波叠加组分基础上附加谐波扰动的路面不平度构造方法。该方法解析获得了扰动组分相位角与单轮辙谐波叠加组分相位角的代数关系,在保证新轮辙功率谱密度与标准功率谱密度相吻合的同时,也较好地符合了轮辙间的相干关系,由此推广获得了考虑轮辙相干关系的二维路面不平度仿真模型。基于MATLAB的路面模拟表明,自功率谱密度和不同轮辙的相干函数均吻合较好,验证了该模型的仿真结果具有较高的可信度。

Based on the harmonic superposition method for the numerical reconstruction of road roughness,in consideration of the power spectral density(PSD)and the coherence function between different wheel tracks,a method for constructing road roughness by using an additional harmonic disturbance on the basis of single wheel track harmonic superposition component was proposed.The method ensures that the PSD of the new wheel track coincides well with the standard PSD,and meantime the same coherence function is also held between different wheel tracks.By an extension of the method,a simulation model of 2D road roughness considering wheel track’s coherence function was built.The 2D road roughness simulations by virtue of the MATLAB show that the resulted self-PSD of different wheel tracks conforms quite well with the standard PSD,and the coherence function between different wheel tracks is also in good agreement,which verifies that the simulation results of 2D road roughness are of high reliability.