Determination of geometrical volume of deformation zone during rolling of a strip in smooth rolls
DOI:
https://doi.org/10.15587/1729-4061.2013.9365Keywords:
longitudinal rolling, strip, deformation zone, expansion, cage.Abstract
The article considers the longitudinal rolling of a thin strip in smooth rolls. The deformation takes place between rolls during their rotation in opposite directions.The process of reduction of metal by pressure is characterized by geometric sizes and shape of the deformation zone.
Geometrically, the deformation zone contains elements of a circle, and for the numerical determination of the volume of the deformation zone we used Simpson’s formula with automatic choice of an integration step for a prescribed accuracy.
Using the developed computer program we have defined the reduction of a strip for twelve passes and we have investigated the change of the geometric volume of the deformation zone along the rolling mill, from cage to cage.
By the methods of correlation and regression analysis we have established the tightness and form of relation between the volume of the deformation zone and the number of a cage for expansion, calculated according to different formulas. It was determined that in all cases there was a steady statistical, nonlinear dependence of the volume of the deformation zone on a number of a cage.
The formula was suggested to calculate the volume of deformation zone, which took into account the extension of a strip, determined by theoretical formulas of Zhez, Gubkin, Zibel and Chekmarev. The established rules have expanded the concept of relations of characteristic parameters of the geometric deformation zone.
References
- Бережний, М.М. Енергетичний баланс та реологічні властивості осередку деформації при прокатуванні штаби гладкими валками [Текст] : монографія/М.М.Бережний, В.А.Чубенко, А.А.Хіноцька. – Кривий Ріг : Чернявський Д.О. 2011. – 117.
- Грудев, А.П. Теория прокатки [Текст] : Учебник для вузов [Текст] / А.П.Грудев – М. : Металлургия, 1988. – 240 с
- Старченко, Д.І. Динаміка повздовжньої прокатки [Текст] : навч.посібник / Д.І. Старченко – Київ : ІСДО, 1995. – 384 с.
- Коновалов, Ю.В. Справочник прокатчика. Часть 1. Производство горячекатаных полос и листов [Текст] / Ю.В. Коновалов. – М. : Теплотехник, 2008. – 640 с.
- Демидович, Б.П. Основы вычислительной математики [Текст] / Б.П. Демидович, И.А. Марон. –М. : Наука, - 1966. – 664 с
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2014 Катерина Варфоломіївна Герасимова, Сергій Олегович Мацишин, Анна Олександрівна Шепель
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.
