Skip to main content
SpringerLink
Log in

Improvement of two-dimension AR model and application in simulation on surface profiles of steel plates

  • Published:
Science in China Series E: Technological Sciences Aims and scope Submit manuscript

Abstract

The order and parameter estimation is always difficult in two-dimension AR model because the two-dimension Yule-Walker equation does not have the property of uniqueness and identifiability as the one-dimension AR model. This paper provides an AR order estimation method for a two-dimension AR model, and an AR model parameter estimation method on the basis of an autocorrelation function. A simulation example on surface profiles of some kinds of steel plates is given using this improved AR model with positive results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Chang, W. R., Etsion, I., Bogy, D. B., An elastic-plastic model for the contact of rough surface,Journal of Tribology, 1987, 109: 257.

    Google Scholar 

  2. Ren Ning, Lee, Si. C., Contact simulation of three-dimensional rough surfaces using moving grid method,Journal of Tribology, 1992, 115: 597.

    Google Scholar 

  3. Majumdar, A., Bhushan, B., Role of fractal geometry in roughness characterization and contact mechanics of surface,ASME Journal of Tribology, 1990, 112: 205.

    Article  Google Scholar 

  4. Majundar, A., Bhushan, B., Fractal model of elastic-plastic contact between rough surfaces,ASME Journal of Tribology, 1991, 113: 1.

    Article  Google Scholar 

  5. Patir, N., Cheng, H. S., An average flow model for determining effects of three-dimensional roughness on partial hydrodynamic lubrication,Trans. ASME, Ser. F, 1978, 100: 12.

    Google Scholar 

  6. Goglia, P. R., Cusano, C., Conry, T. F., The effects of surface irregularities on the elastrohydrodynamic lubrication of sliding line contacts, Part II-Wavy surface,ASME Journal of Tribology, 1984, 106: 113.

    Article  Google Scholar 

  7. Sadeghi, F., A comparison of the fluid models effects on the internal stresses rough surface,ASME Journal of Tribology, 1991, 113(1): 142.

    Article  Google Scholar 

  8. Ai, X. L., Cheng, H. S., The effects of surface texture on EHL point contacts,ASME Journal of Tribology, 1996, 118: 59.

    Article  Google Scholar 

  9. Patir, N., A numerical procedure for random generation of rough surfaces,Wear, 1978, 47: 263.

    Article  Google Scholar 

  10. Tang Yunlin, Tang Di, Wang Xianjing, Quality requisition of steel plate of modern car,Steel Rolling (in Chinese), 1996, (5): 53.

    Google Scholar 

  11. Ren Jianxing, Wang Yide, Measurement for rough surface of roller,Tai Gang Yiwen (in Chinese), 1995, (1): 102.

    Google Scholar 

  12. Hu, Y. Z., Tonder, K., Simulation of 3-D random rough surface by 2-D digital filter and Fourier analysis,Int. J. Mech. Tools Manufact, 1992, 31 (1/2): 83.

    Article  Google Scholar 

  13. Zhang Xianda,Modern Signal Process (in Chinese), Beijing: Tsinghua Univ. Press, 1994.

    Google Scholar 

  14. Gerche, W., Estimation of the autoregressive parameters of a mixed autoregressive moving-average time series,IEEE Trans. Automat. Contr., 1970, AC-15: 583.

    Article  Google Scholar 

  15. Yang Weiqin, Gu Lan,Time Series Analysis and Dynamic Data Modeling (in Chinese), Beijing: Industry Institute of Beijing, 1986.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Tribology, Tsinghua University, 100084, Beijing, China

    Jiadao Wang, Darong Chen & Xianmei Kong

Authors
  1. Jiadao Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Darong Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xianmei Kong
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, J., Chen, D. & Kong, X. Improvement of two-dimension AR model and application in simulation on surface profiles of steel plates. Sci. China Ser. E-Technol. Sci. 42, 637–643 (1999). https://doi.org/10.1007/BF02917001

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02917001

Keywords

Search

Navigation