Simulation and Characterization of Surfaces of Rolling Bearing Elements Based on Wavelets
-
摘要: 建立了模拟粗糙表面的小波模型,该模型可生成各向同性高斯表面、各向异性高斯表面;分析了模拟表面的统计参数和自相关函数;验证了该模型的正确性和有效性。小波模型与Johnson转换系统结合,模拟了给定偏态、峰态的非高斯表面,结果显示目标值和模拟值吻合。另外,将支承面曲线从二维推广到三维,研究表明三维支承面曲线能够更加准确反映表面真实信息;定义的粗糙峰曲线和空穴曲线为未来研究粗糙表面微润滑、微摩擦、微磨损提供基础。Abstract: A new model of rough surfaces based on wavelets is proposed, which can generate isotropic and anisotropic Gaussian rough surfaces. The accuracy and effectiveness of the surface simulation method is verified by means of calculating the statistic parameters and autocorrelation functions of simulated rough surfaces. With combination of Johnson translator system, this model can simulate non-Gaussian rough surfaces with given skewness and kurtosis. The results and their analysis show preliminarily that this method can adequately produce rough surfaces whose statistical characteristics match the prescribed values. Furthermore, the three-dimensional bearing area curve is defined, and it is better than the two-dimensional one. In addition, the micro-asperity curve and micro-cavity curve presently defined can provide the foundation for the further research on the micro-lubrication, micro-friction and micro-wear.
-
Key words:
- autocorrelation function /
- kurtosis /
- Rolling bearing elements /
- rough surface /
- simulation /
- skewness /
- Wavelets
-
[1] Liu J Y, Tallian T E, McCool J I. Dependence of bearing fatigue life on film thickness to surface roughness ratio[J]. ASLE Transactions, 1975,18(2):144-152 [2] Tallian T E. Spalling life model with relaxed distribution constraints, for rough Hertz line contacts[J]. Journal of Tribology, 1993,115(3):453-459 [3] 温诗铸,黄平.摩擦学原理[M].北京:清华大学出版社,2002 Wen S Z, Huang P. Principles of tribology[M]. Beijing: Tsinghua University Press, 2002 (in Chinese) [4] Whitehouse D J, Archard J F. The properties of random surfaces of significance in their contact[J]. Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, 1970,316(1524):97-121 [5] De Vor R E, Wu S M. Surface profile characterization by autoregressive-moving average models[J]. Journal of Engineering for Industry, 1972,94(3):825-832 [6] Watson W, Spedding T A. The time series modelling of non-Gaussian engineering processes[J]. Wear, 1982,83(2):215-231 [7] Whitehouse D J. The generation of two dimensional random surfaces having a specified function[J]. CIRP Annals-Manufacturing Technology, 1983,32(1):495-498 [8] Gu X J, Huang Y Y. The modelling and simulation of a rough surface[J]. Wear, 1990,137(2):275-285 [9] Hong M S, Ehmann K F. Three-dimensional surface characterization by two-dimensional autoregressive models[J]. Journal of Tribology, 1995,117(3):385-393 [10] Uchidate M, Shimizu T, Iwabuchi A, et al. Generation of reference data of 3D surface texture using the non-casual 2D AR model[J]. Wear, 2004,257(12):1288-1295 [11] Newland D E. An introduction to random vibration and spectral analysis [M]. 2 edition. New York: Longman, 1984 [12] Hu Y Z, Tonder K. Simulation of 3-D random surface by 2-D digital filter and Fourier analysis[J]. International Journal of Machine Tools and Manufacture, 1992,32(1-2):82-90 [13] Wu J J. Simulation of rough surfaces with FFT[J]. Tribology International, 2000,33(1):47-58 [14] Wu J J. Simulation of non-Gaussian surfaces with FFT[J]. Tribology International, 2004, 37(4): 339-346 [15] Bakolas V. Numerical generation of arbitrarily oriented non-Gaussian three-dimensional rough surfaces[J]. Wear, 2003,254(5-6):546-554 [16] Majumdar A, Bhushan B. Role of fractal geometry in roughness characterization and contact mechanics of surfaces[J]. Journal of Tribology, 1990,112(2):205-216 [17] Majumdar A, Tien C L. Fractal characterization and simulation of rough surfaces[J]. Wear, 1990,136(2):313-327 [18] Yan W, Komvopoulos K. Contact analysis of elastic-plastic fractal surfaces[J]. Journal of Applied Physics, 1998,84(7):3617-3624 [19] 杨福生.小波变换的工程分析与应用[M].北京:科学出版社,1999 Yang F S. Engineering analysis and application of wavelet transforms[M]. Beijing: Science Press, 1999 (in Chinese) [20] Sayles R S, Thomas T R. Surface topography as a nonstationary random process[J]. Nature, 1978,271(5644):431-434 [21] 任志英,高诚辉.小波变换在粗糙表面几何形貌表征中的应用[J].中国工程机械学报,2013,11(1):78-82 Ren Z Y, Gao C H. Applications of wavelet transform for rough-surface morphological characterizations[J]. Chinese Journal of Construction Machinery, 2013,11(1):78-82 (in Chinese) [22] 邸继征.小波分析原理[M].北京:科学出版社,2010 Di J Z. Analytical principles of wavelets[M]. Beijing: Science Press, 1999 (in Chinese) [23] Hill I D, Hill R, Holder R L. Fitting Johnson curves by moments[J]. Journal of the Royal Statistical Society. Series C (Applied Statistics), 1976,25(2):180-189 [24] Johnson N L. Systems of frequency curves generated by methods of translation[J]. Biometrika, 1949,36(1-2):149-176 [25] Hill I D. Normal-Johnson and Johnson-normal transforma- tions[J]. Journal of the Royal Statistical Society. Series C (Applied Statistics), 1976,25(2):190-192 [26] Chilamakuri S K, Bhushan B. Contact analysis of non-Gaussian random surfaces[J]. Journal of Engineering Tribology, 1998,212(1):19-32
点击查看大图
计量
- 文章访问数: 215
- HTML全文浏览量: 34
- PDF下载量: 6
- 被引次数: 0