Estimating of Bending Force and Curvature of the Bending Plate in a Three-Roller Bending System Using Finite Element Simulation and Analytical Modeling
Many industries such as shipbuilding require steel bending plates in a wide range of radii, thus bending machines are often designed and produced on a custom basis in shipyards. From a design perspective, however, the bending force and the radius of the bending plate as a function of vertical displa...
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doaj-615c3fda95c64d2c831184d079c8180d2021-03-05T00:05:23ZengMDPI AGMaterials1996-19442021-03-01141204120410.3390/ma14051204Estimating of Bending Force and Curvature of the Bending Plate in a Three-Roller Bending System Using Finite Element Simulation and Analytical ModelingIonel Gavrilescu0Doina Boazu1Felicia Stan2Department of Mechanical Engineering, Dunarea de Jos University of Galati, Domneasca 47, 800008 Galati, RomaniaDepartment of Mechanical Engineering, Dunarea de Jos University of Galati, Domneasca 47, 800008 Galati, RomaniaCenter of Excellence Polymer Processing, Dunarea de Jos University of Galati, Domneasca 47, 800008 Galati, RomaniaMany industries such as shipbuilding require steel bending plates in a wide range of radii, thus bending machines are often designed and produced on a custom basis in shipyards. From a design perspective, however, the bending force and the radius of the bending plate as a function of vertical displacement of the upper roller must be known. In this paper, a hybrid numerical–analytical approach is proposed to investigate the three-roller bending process for two plates of steel used in the naval industry. Firstly, the bending process is modeled using the finite element (FE) method and regression models for the bending force as a function of plate thickness and vertical displacement of the upper roller were constructed. Then, based on the findings from FE analysis, using the bent bar theory, two analytical expressions for the bending force were derived. Using geometric and deformation compatibilities, analytical expressions for the vertical displacement of the upper roller as a function of the curvature of the bending plate were also developed. The FE results suggest that the cross section of the plate is practically a plastic hinge in the tangent area of the upper roller and that the deformation compatibilities must be considered in order to estimate the curvature radius of the bending plate using analytical formulations. These results are of practical importance in designing rolling machines to estimate the setting parameters.https://www.mdpi.com/1996-1944/14/5/1204three-rolling bending processfinite element analysisbending forcevertical displacement |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ionel Gavrilescu Doina Boazu Felicia Stan |
spellingShingle |
Ionel Gavrilescu Doina Boazu Felicia Stan Estimating of Bending Force and Curvature of the Bending Plate in a Three-Roller Bending System Using Finite Element Simulation and Analytical Modeling Materials three-rolling bending process finite element analysis bending force vertical displacement |
author_facet |
Ionel Gavrilescu Doina Boazu Felicia Stan |
author_sort |
Ionel Gavrilescu |
title |
Estimating of Bending Force and Curvature of the Bending Plate in a Three-Roller Bending System Using Finite Element Simulation and Analytical Modeling |
title_short |
Estimating of Bending Force and Curvature of the Bending Plate in a Three-Roller Bending System Using Finite Element Simulation and Analytical Modeling |
title_full |
Estimating of Bending Force and Curvature of the Bending Plate in a Three-Roller Bending System Using Finite Element Simulation and Analytical Modeling |
title_fullStr |
Estimating of Bending Force and Curvature of the Bending Plate in a Three-Roller Bending System Using Finite Element Simulation and Analytical Modeling |
title_full_unstemmed |
Estimating of Bending Force and Curvature of the Bending Plate in a Three-Roller Bending System Using Finite Element Simulation and Analytical Modeling |
title_sort |
estimating of bending force and curvature of the bending plate in a three-roller bending system using finite element simulation and analytical modeling |
publisher |
MDPI AG |
series |
Materials |
issn |
1996-1944 |
publishDate |
2021-03-01 |
description |
Many industries such as shipbuilding require steel bending plates in a wide range of radii, thus bending machines are often designed and produced on a custom basis in shipyards. From a design perspective, however, the bending force and the radius of the bending plate as a function of vertical displacement of the upper roller must be known. In this paper, a hybrid numerical–analytical approach is proposed to investigate the three-roller bending process for two plates of steel used in the naval industry. Firstly, the bending process is modeled using the finite element (FE) method and regression models for the bending force as a function of plate thickness and vertical displacement of the upper roller were constructed. Then, based on the findings from FE analysis, using the bent bar theory, two analytical expressions for the bending force were derived. Using geometric and deformation compatibilities, analytical expressions for the vertical displacement of the upper roller as a function of the curvature of the bending plate were also developed. The FE results suggest that the cross section of the plate is practically a plastic hinge in the tangent area of the upper roller and that the deformation compatibilities must be considered in order to estimate the curvature radius of the bending plate using analytical formulations. These results are of practical importance in designing rolling machines to estimate the setting parameters. |
topic |
three-rolling bending process finite element analysis bending force vertical displacement |
url |
https://www.mdpi.com/1996-1944/14/5/1204 |
work_keys_str_mv |
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