基于多重分形的橡胶复合材料磨耗表面形貌特征研究
|
摘要
采用3D测量激光显微镜对橡胶复合材料磨耗表面形貌进行表征,利用多重分形理论对橡胶磨耗表面形貌进行描述,建立了橡胶复合材料表面磨耗形貌的特征参数,分析了谱宽Δα和谱差Δf与磨耗表面形貌的关系,用以评估橡胶磨耗表面的高度均一性和粗糙程度,实现了对橡胶复合材料表面磨耗的定量化描述,为研究橡胶复合材料磨耗性能提供了有效的分析手段和方法。
The wear surface morphology of rubber composites has been characterized by 3D measurements with a laser microscope and described by multifractal theory. The characteristic parameters of the wear surface morphology of rubber composites are obtained. The relationship between spectral width Δα and spectral difference Δf is analyzed to evaluate the uniformity of the height and roughness of the wear surface. A quantitative description of the wear surface of rubber composites has been obtained and an effective analysis method for the wear properties of rubber composites is provided.
The wear surface morphology of rubber composites has been characterized by 3D measurements with a laser microscope and described by multifractal theory. The characteristic parameters of the wear surface morphology of rubber composites are obtained. The relationship between spectral width Δα and spectral difference Δf is analyzed to evaluate the uniformity of the height and roughness of the wear surface. A quantitative description of the wear surface of rubber composites has been obtained and an effective analysis method for the wear properties of rubber composites is provided.
引文
[1]Dathe A,Tarquis A M,Perrier E.Multifractal analysis of the pore-and solid-phases in binary two-dimensional images of natural porous structures[J].Geoderma,2006,134:318-326.
[2]Arrault J,Arnéodo A,Davis A,et al.Wavelet based multifractal analysis of rough surfaces:application to cloud models and satellite data[J].Physical Review Letters,1997,79(1):75-78.
[3]Xie H P,Wang J A,Kwa'sniewski M A.Multifractal characterization of rock fracture surfaces[J].International Journal of Rock Mechanics and Mining Sciences,1999,36:19-27.
[4]Chaudhari A,Yan C C S,Lee S L.Multifractal analysis of growing surfaces[J].Applied Surface Science,2004,238:513-517.
[5]葛世荣,朱华.摩擦学的分形[M].北京:机械工业出版社,2005.Ge S R,Zhu H.Fractal tribology[M].Beijing:China Machine Press,2005.(in Chinese)
[6]朱华,姬翠翠.分形理论及其应用[M].北京:科学出版社,2011.Zhu H,Ji C C.The fractal theory and its application[M].Beijing:Science Press,2011.(in Chinese)
[7]孙涛,马彪,王立勇,等.基于光谱分析的综合传动台架磨合试验方法研究[J].机械设计,2008,25(6):39-41.Sun T,Ma B,Wang L Y,et al.Research on grinding-in testing method of synthetic transmission platform based on spectrum analysis[J].Journal of Machine Design,2008,25(6):39-41.(in Chinese)
[8]王建平,刘烨,李建新,等.基于分形理论的气缸套磨损表面特征形貌表征[J].车用发动机,2012(1):81-82.Wang J P,Liu Y,Li J X,et al.Characterization of cylinder liner wear surface pattern based on fractal theory[J].Vehicle Engine,2012(1):81-82.(in Chinese)
[9]Bakucz P,Krüger-Sehm R.A new wavelet filtering for analysis of fractal engineering surfaces[J].Wear,2009,266(5-6):539-542.
[10]Grzesik W,Brol S.Wavelet and fractal approach to surface roughness characterization after finish turning of different workpiece materials[J].Journal of Materials Processing Technology,2009,209(5):2522-2531.
[11]周鹏,赵福令,吕奇超,等.基于多重分形谱的碳纤维复合材料表面评定方法[J].大连理工大学学报,2011,51(4):535-537.Zhou P,Zhao F L,Lv Q C,et al.A surface evaluation method of carbon fiber reinforced plastic based on multifractal spectrum[J].Journal of Dalian University of Technology,2011,51(4):535-537.(in Chinese)
[12]李平,胡可乐,汪秉宏.多重分形谱在材料分析中的应用研究[J].南京航空航天大学学报,2004,36(1):77-81.Li P,Hu K L,Wang B H.Design and application about computing program of material multifractal spectrum[J].Journal of Nanjing University of Aeronautics&Astronautics,2004,36(1):77-81.(in Chinese)
[13]周炜星,王延杰,于遵宏.多重分形奇异谱的几何特性(I):经典Renyi定义法[J].华东理工大学学报,2000,26(4):385-389.Zhou W X,Wang Y J,Yu Z H.Geometrical characteristics of singularity spectra of multifractals(I):classical renyi definition[J].Journal of East China University of Science and Technology,2000,26(4):385-389.(in Chinese)
[14]周炜星,王延杰,于遵宏.多重分形奇异谱的几何特性(II):配分函数法[J].华东理工大学学报,2000,26(4):390-395.Zhou W X,Wang Y J,Yu Z H.Geometrical characteristics of singularity spectra of multifractals(II):partition function definition[J].Journal of East China University of Science and Technology,2000,26(4):390-395.(in Chinese)
[15]全书海.基于表面灰度图像的加工表面形貌分形特征研究[D].武汉:武汉理工大学,2002.Quan S H.Research on fractal character of machined surface topography based on surface grayscale image[D].Wuhan:Wuhan University of Technology,2002.(in Chinese)
[2]Arrault J,Arnéodo A,Davis A,et al.Wavelet based multifractal analysis of rough surfaces:application to cloud models and satellite data[J].Physical Review Letters,1997,79(1):75-78.
[3]Xie H P,Wang J A,Kwa'sniewski M A.Multifractal characterization of rock fracture surfaces[J].International Journal of Rock Mechanics and Mining Sciences,1999,36:19-27.
[4]Chaudhari A,Yan C C S,Lee S L.Multifractal analysis of growing surfaces[J].Applied Surface Science,2004,238:513-517.
[5]葛世荣,朱华.摩擦学的分形[M].北京:机械工业出版社,2005.Ge S R,Zhu H.Fractal tribology[M].Beijing:China Machine Press,2005.(in Chinese)
[6]朱华,姬翠翠.分形理论及其应用[M].北京:科学出版社,2011.Zhu H,Ji C C.The fractal theory and its application[M].Beijing:Science Press,2011.(in Chinese)
[7]孙涛,马彪,王立勇,等.基于光谱分析的综合传动台架磨合试验方法研究[J].机械设计,2008,25(6):39-41.Sun T,Ma B,Wang L Y,et al.Research on grinding-in testing method of synthetic transmission platform based on spectrum analysis[J].Journal of Machine Design,2008,25(6):39-41.(in Chinese)
[8]王建平,刘烨,李建新,等.基于分形理论的气缸套磨损表面特征形貌表征[J].车用发动机,2012(1):81-82.Wang J P,Liu Y,Li J X,et al.Characterization of cylinder liner wear surface pattern based on fractal theory[J].Vehicle Engine,2012(1):81-82.(in Chinese)
[9]Bakucz P,Krüger-Sehm R.A new wavelet filtering for analysis of fractal engineering surfaces[J].Wear,2009,266(5-6):539-542.
[10]Grzesik W,Brol S.Wavelet and fractal approach to surface roughness characterization after finish turning of different workpiece materials[J].Journal of Materials Processing Technology,2009,209(5):2522-2531.
[11]周鹏,赵福令,吕奇超,等.基于多重分形谱的碳纤维复合材料表面评定方法[J].大连理工大学学报,2011,51(4):535-537.Zhou P,Zhao F L,Lv Q C,et al.A surface evaluation method of carbon fiber reinforced plastic based on multifractal spectrum[J].Journal of Dalian University of Technology,2011,51(4):535-537.(in Chinese)
[12]李平,胡可乐,汪秉宏.多重分形谱在材料分析中的应用研究[J].南京航空航天大学学报,2004,36(1):77-81.Li P,Hu K L,Wang B H.Design and application about computing program of material multifractal spectrum[J].Journal of Nanjing University of Aeronautics&Astronautics,2004,36(1):77-81.(in Chinese)
[13]周炜星,王延杰,于遵宏.多重分形奇异谱的几何特性(I):经典Renyi定义法[J].华东理工大学学报,2000,26(4):385-389.Zhou W X,Wang Y J,Yu Z H.Geometrical characteristics of singularity spectra of multifractals(I):classical renyi definition[J].Journal of East China University of Science and Technology,2000,26(4):385-389.(in Chinese)
[14]周炜星,王延杰,于遵宏.多重分形奇异谱的几何特性(II):配分函数法[J].华东理工大学学报,2000,26(4):390-395.Zhou W X,Wang Y J,Yu Z H.Geometrical characteristics of singularity spectra of multifractals(II):partition function definition[J].Journal of East China University of Science and Technology,2000,26(4):390-395.(in Chinese)
[15]全书海.基于表面灰度图像的加工表面形貌分形特征研究[D].武汉:武汉理工大学,2002.Quan S H.Research on fractal character of machined surface topography based on surface grayscale image[D].Wuhan:Wuhan University of Technology,2002.(in Chinese)