New Numerical Solution of von Karman Equation of Lengthwise Rolling
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-30
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The calculation of average material contact pressure to rolls base on mathematical theory of rolling process given by Karman equation was solved by many authors.
The solutions reported by authors are used simplifications for solution of Karman equation.
The simplifications are based on two cases for approximation of the circular arch: (a) by polygonal curve and (b) by parabola.
The contribution of the present paper for solution of two-dimensional differential equation of rolling is based on description of the circular arch by equation of a circle.
The new term relative stress as nondimensional variable was defined.
The result from derived mathematical models can be calculated following variables: normal contact stress distribution, front and back tensions, angle of neutral point, coefficient of the arm of rolling force, rolling force, and rolling torque during rolling process.
Laboratory cold rolled experiment of CuZn30 brass material was performed.
Work hardening during brass processing was calculated.
Comparison of theoretical values of normal contact stress with values of normal contact stress obtained from cold rolling experiment was performed.
The calculations were not concluded with roll flattening.
American Psychological Association (APA)
Pernis, Rudolf& Kvackaj, Tibor. 2015. New Numerical Solution of von Karman Equation of Lengthwise Rolling. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-20.
https://search.emarefa.net/detail/BIM-1067143
Modern Language Association (MLA)
Pernis, Rudolf& Kvackaj, Tibor. New Numerical Solution of von Karman Equation of Lengthwise Rolling. Journal of Applied Mathematics No. 2015 (2015), pp.1-20.
https://search.emarefa.net/detail/BIM-1067143
American Medical Association (AMA)
Pernis, Rudolf& Kvackaj, Tibor. New Numerical Solution of von Karman Equation of Lengthwise Rolling. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-20.
https://search.emarefa.net/detail/BIM-1067143
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067143