Analytical description of adjustment of rolls for manufacturing parts from elastic sheet material

Authors

DOI:

https://doi.org/10.15587/1729-4061.2024.298427

Keywords:

normal curvature, geodesic curvature, sheet part, billet calculation, conical rolls

Abstract

The object of research is the process of bending sheet material, taking into account its springiness. When manufacturing sheet parts by bending from a completely elastic sheet, its shape is completely restored after the deformation stops, unlike an elastic sheet. Thus, when producing cylindrical parts by drawing between three rolls, the resulting radius of the cylindrical part will be larger than the calculated one. This phenomenon is evaluated by the coefficient of springing – the ratio of the calculated radius to the one obtained after partial expansion.

When manufacturing conical parts, this approach cannot be applied, because the value of the radius is variable. The article applies the theory of surface bending from differential geometry. The curvature of the line on the surface has two components - normal and geodesic. When the surface is bent, the normal component changes, while the geodesic component remains unchanged. The magnitude of the normal component depends on the angle between the origin of the cone and its axis. So, for a cone with a base of radius R and an angle of 20°, the normal curvature is 0.94/R, and the geodesic curvature is 0.34/R. For cylindrical parts, the geodesic curvature of the cross-section (circle) is zero, so it is not necessary to take it into account.

Usually, adjustment of rolls for the production of conical parts is carried out experimentally. The difference of the proposed approach lies in the elimination of this problem thanks to the decomposition of the curvature of the base of the cone into two components. This allows to calculate the settings of the rolls and thereby reduce their adjustment time. The parameters of the rolls and their mutual placement are calculated for the production of conical parts of the required size, taking into account their springiness. The field of application of the obtained results is the production of parts by bending flat metal sheet blanks

Author Biographies

Serhii Pylypaka, National University of Life and Environmental Sciences of Ukraine

Doctor of Technical Sciences, Professor, Head of Department

Department of Descriptive Geometry, Engineering and Computer Graphics

Vyacheslav Hropost, National University of Life and Environmental Sciences of Ukraine

Postgraduate Student

Department of Descriptive Geometry, Engineering and Computer Graphics

Tetiana Volina, National University of Life and Environmental Sciences of Ukraine

PhD, Associate Professor

Department of Descriptive Geometry, Engineering and Computer Graphics

Tetiana Kresan, National University of Life and Environmental Sciences of Ukraine

PhD, Associate Professor, Head of Department

Department of Natural, Mathematical and General Engineering Disciplines

Serhii Borodai, Sumy National Agrarian University

Senior Lecturer

Department of Architecture and Surveying Engineering

References

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Analytical description of adjustment of rolls for manufacturing parts from elastic sheet material

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Published

2024-02-28

How to Cite

Pylypaka, S., Hropost, V., Volina, T., Kresan, T., & Borodai, S. (2024). Analytical description of adjustment of rolls for manufacturing parts from elastic sheet material. Eastern-European Journal of Enterprise Technologies, 1(7 (127), 60–65. https://doi.org/10.15587/1729-4061.2024.298427

Issue

Vol. 1 No. 7 (127) (2024): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2024 Serhii Pylypaka, Vyacheslav Hropost, Tetiana Volina, Tetiana Kresan, Serhii Borodai

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