In this work, a four high cold rolling mill is modeled as a spring-mass-damper system considering horizontally and vertically applied time-dependent forces due to the interaction between the strip and the working rolls. The effect of vibration of the moving strip on the work roll vibration is also considered for developing the governing equation of motion of the system which is found to be that of a nonlinear parametrically excited system. The governing equation of motion is solved by using the method of multiple scales to find the instability regions and frequency-response curves of the system. The critical amplitude of horizontal load in roll bite is calculated and the frequency-response is studied in detail considering the effect of various process parameters, such as velocity, thickness of strip, time delay, amplitude, and frequency of horizontal load in roll bite. This work can find application in the design and development of high speed and chatter free rolling mills.
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August 2014
Research-Article
Nonlinear Dynamic Analysis of a Parametrically Excited Cold Rolling Mill
Sajan Kapil,
Sajan Kapil
Mechanical Engineering Department,
e-mail: kapil.sajan17@gmail.com
Indian Institute of Technology Guwahati
,Guwahati 781039
, India
e-mail: kapil.sajan17@gmail.com
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Peter Eberhard,
Peter Eberhard
Institute of Engineering and
Computational Mechanics,
e-mail: peter.eberhard@itm.uni-stuttgart.de
Computational Mechanics,
University of Stuttgart
,Pfaffenwaldring 9
,Stuttgart 70569
, Germany
e-mail: peter.eberhard@itm.uni-stuttgart.de
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Santosha K. Dwivedy
Santosha K. Dwivedy
Mechanical Engineering Department,
e-mail: dwivedy@iitg.ernet.in
Indian Institute of Technology Guwahati
,Guwahati 781039
, India
e-mail: dwivedy@iitg.ernet.in
Search for other works by this author on:
Sajan Kapil
Mechanical Engineering Department,
e-mail: kapil.sajan17@gmail.com
Indian Institute of Technology Guwahati
,Guwahati 781039
, India
e-mail: kapil.sajan17@gmail.com
Peter Eberhard
Institute of Engineering and
Computational Mechanics,
e-mail: peter.eberhard@itm.uni-stuttgart.de
Computational Mechanics,
University of Stuttgart
,Pfaffenwaldring 9
,Stuttgart 70569
, Germany
e-mail: peter.eberhard@itm.uni-stuttgart.de
Santosha K. Dwivedy
Mechanical Engineering Department,
e-mail: dwivedy@iitg.ernet.in
Indian Institute of Technology Guwahati
,Guwahati 781039
, India
e-mail: dwivedy@iitg.ernet.in
Manuscript received September 22, 2013; final manuscript received February 24, 2014; published online May 21, 2014. Assoc. Editor: Tony Schmitz.
J. Manuf. Sci. Eng. Aug 2014, 136(4): 041012 (10 pages)
Published Online: May 21, 2014
Article history
Received:
September 22, 2013
Revision Received:
February 24, 2014
Citation
Kapil, S., Eberhard, P., and Dwivedy, S. K. (May 21, 2014). "Nonlinear Dynamic Analysis of a Parametrically Excited Cold Rolling Mill." ASME. J. Manuf. Sci. Eng. August 2014; 136(4): 041012. https://doi.org/10.1115/1.4026961
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