分形模型在路面不平度再现中的应用

Application of fractal model in road surface roughness reconstruction

在分析路面不平度具有自相似性、标度不变性等分形特性的基础上提出利用理想分形曲线建立路面不平度的再现模型。利用功率谱法对实测路面不平度进行分形维数的计算。分析了理想分形曲线的平均功率谱性质,并建立其与路面不平度功率谱的关系。在此基础上提出用分形维数和路面不平度系数2个参数描述路面不平度统计特性的方法,并再现A、C等级标准路面和实测路面不平度。通过功率谱对比可知,根据本文方法建立的路面不平度分形模型精度较高。

Provided that the road surface roughness（ RSR） presents the fractal behavior such as the self-similarity,the scaling invariance,etc. ,a RSR reconstruction model was built using the ideal fractal curve to simulate the RSR. The measured RSR fractal dimension was calculated by the power spectrum method. The average power spectrum character of the ideal fractal curve was analyzed and its relationship with the RSR power spectrum was established. Based on it a method was suggested to describe the statistical characteristics of the RSR using two parameters,i. e. the fractal dimension and the RSR coefficient,and the roughnesses of the class A and C standard roads surface and the measured road surface were reconstructed. The comparison between their power spectrums shows that the proposed fractal model for the RSR appeass sufficiently accurate.