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Study on Nonlinear Parametrically Excited Vibration in Automatic Gauge Control System of the Rolling Mill

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Network Computing and Information Security (NCIS 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 345))

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Abstract

The non-linear equation of the of the rolling mill automatic gauge control(AGC) system is derived based on analyzing the friction between roll and workpiece, the flexibility and the roll eccentricity force. By means of a multiple-scales method, the existence and stability of periodic solutions in a first-order approximation close to the main parametric resonance are investigated, and the frequency-response equation is provided. Bifurcations of the system and regions of chaotic solutions are found. It follows from the maximal Lyapunov exponent and Poincare map that vibration of the rolling system appear more complex with larger excitation amplitude.

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References

  1. Tao, Y., Wu, X.: plate mill self-excited vibration model. Mechanical design and Research 24(3), 116–120 (2008)

    Google Scholar 

  2. Bollinger, L.A.: Winding reel involvement in temper mill chatter. Iron and Steel Engineer 11, 27–29 (1994)

    Google Scholar 

  3. Zhang, H., Xiong, S.B., et al.: The hot strip mill modeling and simulation of the vertical vibration. China Mechanical Engineering 17(23), 2434–2438 (2006)

    Google Scholar 

  4. Jin, M., lan, L.F.: Hot strip mill self-excited vibration diagnosis and Vibration Analysis. Vibration, Testing and Diagnosis 26(4), 261–264 (2006)

    Google Scholar 

  5. Qi, M., Song, X.R., et al.: Plate rolling mill nonlinear parametrically excited vibration. Chongqing University Learned Journal 31(4), 393–396 (2008)

    Google Scholar 

  6. Zhang, L., Pengkai, X., Nan, T.C.: Hot rolling thickness control system in the chaotic phenomenon. Control Engineering 10(2), 173–175 (2003)

    Google Scholar 

  7. Liu, J., Sun, Y.K.: Hot strip rolling computer control. Machinery Industry Press (1997)

    Google Scholar 

  8. Chen, Y.S.: Nonlinear vibration. Higher Education Press, Beijing (2002)

    Google Scholar 

  9. Chen, Y.S.: Bifurcation and Chaos Theory of Nonlinear Vibration Systems. Higher Education Press, Beijing (1993)

    Google Scholar 

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Author information

Authors and Affiliations

  1. College of Electrical Engineering, Hebei United University, Hebei, Tangshan, 063009, China

    Ruicheng Zhang & Pingping Yang

  2. School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing, 100081, China

    Weiran An

Authors
  1. Ruicheng Zhang
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  2. Weiran An
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  3. Pingping Yang
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Editor information

Editors and Affiliations

  1. School of Computer and Information Engineering, Shanghai University of Electric Power, 200090, Shanghai, China

    Jingsheng Lei

  2. Caritas Institute of Higher Education, 18 Chui Ling Road, Tseung Kwan O, Hong Kong, China

    Fu Lee Wang

  3. School of Computer Engineering, Computer Science Division, Nanyang Technological University (NTU), 50 Nanyang Avenue, Singapore

    Mo Li

  4. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 200030, Shanghai, China

    Yuan Luo

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© 2012 Springer-Verlag Berlin Heidelberg

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Zhang, R., An, W., Yang, P. (2012). Study on Nonlinear Parametrically Excited Vibration in Automatic Gauge Control System of the Rolling Mill. In: Lei, J., Wang, F.L., Li, M., Luo, Y. (eds) Network Computing and Information Security. NCIS 2012. Communications in Computer and Information Science, vol 345. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35211-9_59

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  • DOI: https://doi.org/10.1007/978-3-642-35211-9_59

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35210-2

  • Online ISBN: 978-3-642-35211-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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