二维不平度路面的空间域滤波重构及仿真

Spatial Domain Reconstruction of Road Roughness Based on White Noises Filtering

基于不同轮辙路面不平度功率谱阵的LU分解得到了左右轮辙不平度特性的双独立白噪声滤波传递关系,并分别对传递函数中涉及的相干函数进行Pade展开,对涉及相干函数的复杂超越函数进行Chebyshev-Pade展开,获得了高精度的有理近似显式表达;在双白噪声滤波传递关系有理近似的基础上,按白噪声滤波法构造了一种考虑轮辙相干性的空间域二维不平度路面模拟模型.不同轮辙路面模拟结果表明,自功率谱密度几乎重合,左右轮的相干函数也吻合较好,且该模型能高效率、高精度地泛化应用于二维不平度路面模拟,可为车辆路面运输的平顺性分析提供空间域路面模型.

Based on lower and upper triangular matrix(LU)decomposition of the power spectral density(PSD)matrix of road roughness for different wheel tracks,the transfer functions of road roughness was presented for different wheel tracks to two independent white noises signals.The coherent function in transfer functions was rationally approximated by Pade expansion.In addition,the complex transcendental function related to the coherent function in the transfer functions was rationally approximated by Chebyshev-Pade expansion.Based on white noises filtering(WNF)method,a 2D random road simulation model considering coherence function of different wheel tracks was constructed.The simulation results show that the Auto-PSD and the coherence function of different wheel tracks are in great agreement with the standard functions respectively.It is verified that the transfer functions derived from LU decomposition of PSD matrix of different wheel tracks and its Pade expansion and Chebyshev-Pade expansion possess high reliability in the simulation of 2D road roughness.