-
摘要: 应用多重分形理论验证了路面纹理的多尺度特性, 研究了路面纹理多重分形谱的直接计算方法以及权重因子对计算结果的影响规律。测量了4组不同级配的沥青混凝土样块纹理高程值, 利用小波变换消除噪声数据, 分别计算各组样块纹理的多重分形谱参数, 构建了一种应用多重分形谱描述与识别路面纹理特征的新方法。分析结果表明: 路面纹理呈现出复杂性与自相似性特征, 不同路面纹理之间的多重分形谱存在明显的差异性; 路面纹理越复杂, 高程波度越剧烈, 多重分形谱参数越大, 反之则越小; 对于相同类型的路面纹理, 多重分形谱形状和参数均相近。可见, 多重分形是一种描述与识别路面纹理特征的有效方法。Abstract: Multifractal theory was applied to justify the multi-scale characteristic of pavement texture. The direct computational approach of multifractal spectra was explored, and the effect of weighted factor on multifractal spectra computational result was studied.Four types of asphalt sample pavement texture heights were measured, and eliminating noises were processed by using wavelet transform. The parameters of mulifractal spectra for each sample pavement texture were computed, and a novel approach to describe and characterize pavement texture feature was proposed based on multifractal spectra. Analysis result shows that pavement texture has the features of complexity and self-similarity, and the multifractal spectra of different pavement textures obviously vary.The more complex the pavement texture is, the more fluctuant the heights are, the larger the parameter values of multifractal spectra are, and vice versa.The same types of pavement textures have approximate multifractal shapes and parameters. So multifractal is an effective approach to describe and characterize pavement texture feature.
-
图 2 基于小波变换的样块表面高程数据滤波
Figure 2. Eliminating noises of profile heights using wavelet transformation
图 7 q取值范围对计算多重分形谱的影响
Figure 7. Influences of q ranges on computational multifractal spectra
-
[1] ASI I M. Evaluation skid resistance of different asphalt concrete mixes[J]. Building and Environment, 2007, 42(1): 325-329. doi: 10.1016/j.buildenv.2005.08.020 [2] MAYORA J M P, PINA R J. An assessment of the skid resistance effect on traffic safety under wet-pavement conditions[J]. Accident Analysis and Prevention, 2009, 41(4): 881-886. doi: 10.1016/j.aap.2009.05.004 [3] ASTM E274/E274M-11, standard test method for skid resistance of paved surface using full-scale tire[S]. [4] ISO13473-1: 1997, characterization of pavement texture by use of surface profiles—part I: determination of mean profile depth[S]. [5] ERGUN M, LYINAM S, LYINAM A F. Prediction of road surface friction coefficient using only macro and microtexture measurements[J]. Journal of Transportation Engineering, 2005, 131(4): 311-319. doi: 10.1061/(ASCE)0733-947X(2005)131:4(311) [6] 初秀民, 李永, 严新平, 等. 基于微观形貌特征的沥青路面抗滑性能评价研究进展[J]. 交通与计算机, 2007, 25(1): 61-65. https://www.cnki.com.cn/Article/CJFDTOTAL-JTJS200701016.htmCHU Xiu-min, LI Yong, YAN Xin-ping, et al. Development of skid resistance evaluation based on asphalt pavement microtexture[J]. Computer and Communications, 2007, 25(1): 61-65. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-JTJS200701016.htm [7] KOKKALIS A G, TSOHOS G H, PANAGOULI O K. Consideration of fractals potential in pavement skid resistance evaluation[J]. Journal of Transportation Engineering, 2002, 128(6): 591-595. doi: 10.1061/(ASCE)0733-947X(2002)128:6(591) [8] KOKKALIS A G, PANAGOULI O K. Fractal evaluation ofpavement skid resistance variations. Ⅰ: surface wetting[J]. Chaos, Solitons and Fractals, 1998, 9(11): 1875-1890. doi: 10.1016/S0960-0779(97)00138-0 [9] KOKKALIS A G, PANAGOULI O K. Fractal evaluation of pavement skid resistance variations. Ⅱ: surface wear[J]. Chaos, Solitons and Fractals, 1998, 9(11): 1891-1899. doi: 10.1016/S0960-0779(98)00185-4 [10] PANAGOULI O K, KOKKALIS A G. Skid resistance and fractal structure of pavement surface[J]. Chaos, Solitons and Fractals, 1998, 9(3): 493-505. doi: 10.1016/S0960-0779(97)00085-4 [11] VALLEJO L E. Fractal assessment of the surface texture of pavements[J]. International Journal of Pavement Engineering, 2001, 2(2): 149-156. doi: 10.1080/10298430108901723 [12] LOEHLE C, LI B L. Statistical properties of ecologic and geologic fractals[J]. Ecological Modelling, 1996, 85(2/3): 271-284. [13] VOSS R F. Random fractals: characterization and measurement[R]. New York: Plenum, 1985. [14] MANDELBROT B B. How long is the coast of Britain? statistical self-similarity and fractional dimension[J]. Science, 1967, 156(3775): 636-638. doi: 10.1126/science.156.3775.636 [15] STANLEY H E, MEAKIN P. Multifractal phenomena in physics and chemistry[J]. Nature, 1988, 335: 405-409. doi: 10.1038/335405a0 [16] CHHABRA A B, MENEVEAU C, JENSEN R V, et al. Direct determination of the f(α) singularity spectrum and its application to fully developed turbulence[J]. Physical Review A, 1989, 40(9): 5284-5294. doi: 10.1103/PhysRevA.40.5284 [17] POSADAS A N D, GIMENEZ D, QUIROZ R, et al. Multifractal characterization of soil pore systems[J]. Soil Science Society of America Journal, 2003, 67(5): 1361-1369. doi: 10.2136/sssaj2003.1361 [18] WANG Wei-feng, YAN Xin-ping, HUANG He-lai, et al. Design and verification of a laser based device for pavement macrotexture measuerment[J]. Transportation Research Part C: Emerging Technologies, 2011, 19(4): 682-694. [19] 孙霞, 傅竹西, 吴自勤. 薄膜生长的多重分形谱的计算[J]. 计算物理, 2001, 18(3): 247-252. doi: 10.3969/j.issn.1001-246X.2001.03.011SUN Xia, FU Zhu-xi, WU Zi-qin. Multifractal calculation of thin film growth[J]. Chinese Journal of Computational Physics, 2001, 18(3): 247-252. (in Chinese). doi: 10.3969/j.issn.1001-246X.2001.03.011 -
下载:
点击查看大图
图(9) / 表(1)
计量
- 文章访问数: 691
- HTML全文浏览量: 104
- PDF下载量: 1409
- 被引次数: 0
