Identification of Fractal Scale Parameter of Machined Surface Profile

Abstract:

In order to identify fractal scale parameters of machined surface profile accurately, the precisions of different parameter identification methods, such as power spectrum method, structure function method and variance method, are analyzed and compared. Based on discrete power spectrum function and variance method, a revised method of scale parameter identification is advanced. Results show that, in contrast with other methods, the new method could identify more accurate parameter. Those methods are adopted to identify parameters of machined surface profile. The variation of fractal parameters with surface roughness is studied. Research indicated that the preferred method to identify fractal scale parameter is the revised method; otherwise, significant error may occur in the results of parameter identification.

• Periodical: Applied Mechanics and Materials (Volume 42)
• Pages: 209-214
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.42.209
• Online since: November 2010
• Authors: Ding Shi Li, Yi Du Zhang, Qiong Wu, Peng Wang
• Keywords: Fractal Dimension D, Parameter Identification, Power Spectrum Method, Scale Parameter G, Structure Function Method, Variance Method

References

[1] Nayak PR: Transactions ASME Journal of Lubrication Technology, Vol. 93 (1971), pp.398-407.

[2] Greenwood JA, Williamson JBP: Proceedings of the Royal Society of London, Vol. 295 (1966) No. 1442, pp.300-319.

[3] Nayak PR: Wear, Vol. 26 (1973), pp.305-333.

[4] Sayles R, Thomas TR: Nature, Vol. 271 (1978), pp.431-434.

[5] Majumdar A, Bhushan B: ASME, J Tribol, Vol. 112 (1990), pp.205-216.

[6] A.L. Wang C.X. Yang: Chinese Journal of Mechanical Engineering, Vol. 38 (2002) No. 5, pp.80-85. (In Chinese).

[7] S.R. Ge,H. Zhu: Fractal in Tribology (China Machine Press, Beijing 2005), pp.110-120. (In Chinese).

[8] Majumdar A, Bhushan B: ASME J Tribol, Vol. 113 (1991), pp.1-11.

[9] L. He, J. Zhu: Tribology, Vol. 16 (1996) No. 4, pp.375-384. (In Chinese).

[10] Ge SR: Journal of China University of Mining & Technology, Vol. 28 (1999) No. 3, pp.204-207. (In Chinese).

[11] J.J. Wu: Chaos, Solitons & Fractals, Vol. 12 (2001) No. 13, pp.2481-2492.

[12] Majumdar A, Tien CL: Wear, Vol 136 (1990) No. 2, pp.313-327.

[13] Berry MV, Lewis ZV: Proceedings of the Royal Society of London, Vol. A 370 (1980), pp.459-484.