New Numerical Solution of von Karman Equation of Lengthwise Rolling

المؤلفون المشاركون

Pernis, Rudolf
Kvackaj, Tibor

المصدر

Journal of Applied Mathematics

العدد

المجلد 2015، العدد 2015 (31 ديسمبر/كانون الأول 2015)، ص ص. 1-20، 20ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2015-09-30

دولة النشر

مصر

عدد الصفحات

20

التخصصات الرئيسية

الرياضيات

الملخص 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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1067143