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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Argonne National Laboratory,
9700 S. Cass Avenue,
Argonne, IL 60439
e-mail: hzhao@anl.gov
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
e-mail: k-ehmann@northwestern.edu
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June 2013
Research-Article
Stability Analysis of Chatter in Tandem Rolling Mills—Part 1: Single- and Multi-Stand Negative Damping Effect
Huyue Zhao,
Argonne National Laboratory,
9700 S. Cass Avenue,
Argonne, IL 60439
e-mail: hzhao@anl.gov
Huyue Zhao
High Energy Physics Division
,Argonne National Laboratory,
9700 S. Cass Avenue,
Argonne, IL 60439
e-mail: hzhao@anl.gov
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Kornel F. Ehmann
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
e-mail: k-ehmann@northwestern.edu
Kornel F. Ehmann
Department of Mechanical Engineering
,Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
e-mail: k-ehmann@northwestern.edu
Search for other works by this author on:
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. Jun 2013, 135(3): 031001 (8 pages)
Published Online: May 29, 2013
Article history
Received:
August 30, 2008
Revision Received:
December 27, 2012
Citation
Zhao, H., and Ehmann, K. F. (May 29, 2013). "Stability Analysis of Chatter in Tandem Rolling Mills—Part 1: Single- and Multi-Stand Negative Damping Effect." ASME. J. Manuf. Sci. Eng. June 2013; 135(3): 031001. https://doi.org/10.1115/1.4024032
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