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Research Papers

Stability Analysis of Chatter in Tandem Rolling Mills—Part 1: Single- and Multi-Stand Negative Damping Effect

[+] Author and Article Information
Huyue Zhao

High Energy Physics Division,
Argonne National Laboratory,
9700 S. Cass Avenue,
Argonne, IL 60439
e-mail: hzhao@anl.gov

Kornel F. Ehmann

Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
e-mail: k-ehmann@northwestern.edu

Contributed by the Manufacturing Engineering Division of ASME for publication in the Journal of Manufacturing Science and Engineering. Manuscript received August 30, 2008; final manuscript received December 27, 2012; published online May 29, 2013. Editor: Y. Lawrence Yao.

J. Manuf. Sci. Eng 135(3), 031001 (May 29, 2013) (8 pages) Paper No: MANU-08-1238; doi: 10.1115/1.4024032 History: Received August 30, 2008; Revised December 27, 2012

Many different modes of chatter in rolling and their possible causes have been identified after years of research, yet no clear and definite theory of their mechanics has been fully established and accepted. In this two-part paper, stability of tandem mills is investigated. In Part 1, state-space models of single- and multi-stand chatter are formulated in a rigorous and comprehensive mathematical form. Then, the stability of the rolling system is investigated in the sense of the single- and multi-stand negative damping effects. First, a single-stand chatter model in state-space representation is proposed by coupling a dynamic rolling process model with a structural model for the mill stand. Subsequently, a multi-stand chatter model is developed by incorporating the inter-stand tension variations and the time delay effect of the strip transportation based on the single-stand chatter model. Stability criteria are proposed and stability analyses are performed to create corresponding stability charts in terms of the single- and multi-stand negative damping mechanism through numerical simulations. Particularly, the effect of friction conditions on chatter is examined and an explanation is given for the existence of an optimum friction condition. In Part 2, the regenerative effect and resulting instabilities are examined. Suitable stability criteria for each mechanism are established and stability charts are demonstrated in terms of relevant rolling process parameters.

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References

Figures

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Fig. 3

Stability chart of μ

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Fig. 1

Schematic diagram of the multi-Stand model

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Fig. 2

Stability chart of μ

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Fig. 6

Roll bite geometry in rolling

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Fig. 7

Slab analysis on a volume element in the roll gap

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Fig. 4

Stability chart of friction for multi-Stand negative damping

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Fig. 5

Stability chart of friction for single-Stand and multi-Stand negative damping

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Fig. 8

Structural model of a Stand

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