Model for the Whole Roller Leveling Process of Plates with Random Curvature Distribution Based on the Curvature Integration Method

Abstract A model based on the curvature integration method has been applied in an online plate leveling system. However, there are some shortcomings in the current leveling models. On the one hand, the models cannot deal with the leveling process of plates with a random curvature distribution. On th...

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Main Authors: Ben Guan, Chao Zhang, Yong Zang, Yuan Wang
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Chinese Journal of Mechanical Engineering
Subjects:
Online Access:http://link.springer.com/article/10.1186/s10033-019-0361-7
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author Ben Guan
Chao Zhang
Yong Zang
Yuan Wang
author_facet Ben Guan
Chao Zhang
Yong Zang
Yuan Wang
author_sort Ben Guan
collection DOAJ
description Abstract A model based on the curvature integration method has been applied in an online plate leveling system. However, there are some shortcomings in the current leveling models. On the one hand, the models cannot deal with the leveling process of plates with a random curvature distribution. On the other hand, the current models are suitable only for stable leveling processes and ignore the biting in and tailing out stages. This study presents a new plate-leveling model based on the curvature integration method, which can describe the leveling process of plates with random curvature distribution. Further, the model is solved in two cases in order to take the biting in and tailing out stages into consideration. The proposed model is evaluated by comparing with a plate leveling experiment. Finally, the leveling process of a plate with a wave bent is studied using the proposed model. It is found that the contact angles vary greatly during the biting in and tailing out stages. However, they are relatively steady during the 5 roller leveling stage. In addition, the contact angle of roller No. 2 is the smallest, which is close to 0. Roller leveling can effectively eliminate bending in the plate, but there are regions in the head and tail of the plate, where roller leveling is not effective. The non-leveling region length is about 2 times that of the roller space. This study proposes a quasi-static plate-leveling model, which makes it possible to analyze the dynamic straightening process using a curvature integration method. It also makes it possible to analyze the straightening process of a plate with random curvature distribution.
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spelling doaj.art-3e53eaf64a9c4886a66a77bdb5f4d1102022-12-21T19:02:17ZengSpringerOpenChinese Journal of Mechanical Engineering1000-93452192-82582019-05-0132111110.1186/s10033-019-0361-7Model for the Whole Roller Leveling Process of Plates with Random Curvature Distribution Based on the Curvature Integration MethodBen Guan0Chao Zhang1Yong Zang2Yuan Wang3School of Mechanical Engineering, University of Science and Technology BeijingSchool of Mechanical Engineering, University of Science and Technology BeijingSchool of Mechanical Engineering, University of Science and Technology BeijingSchool of Mechanical Engineering, University of Science and Technology BeijingAbstract A model based on the curvature integration method has been applied in an online plate leveling system. However, there are some shortcomings in the current leveling models. On the one hand, the models cannot deal with the leveling process of plates with a random curvature distribution. On the other hand, the current models are suitable only for stable leveling processes and ignore the biting in and tailing out stages. This study presents a new plate-leveling model based on the curvature integration method, which can describe the leveling process of plates with random curvature distribution. Further, the model is solved in two cases in order to take the biting in and tailing out stages into consideration. The proposed model is evaluated by comparing with a plate leveling experiment. Finally, the leveling process of a plate with a wave bent is studied using the proposed model. It is found that the contact angles vary greatly during the biting in and tailing out stages. However, they are relatively steady during the 5 roller leveling stage. In addition, the contact angle of roller No. 2 is the smallest, which is close to 0. Roller leveling can effectively eliminate bending in the plate, but there are regions in the head and tail of the plate, where roller leveling is not effective. The non-leveling region length is about 2 times that of the roller space. This study proposes a quasi-static plate-leveling model, which makes it possible to analyze the dynamic straightening process using a curvature integration method. It also makes it possible to analyze the straightening process of a plate with random curvature distribution.http://link.springer.com/article/10.1186/s10033-019-0361-7LevelingCurvature integration methodCurvatureContact angleDeflection
spellingShingle Ben Guan
Chao Zhang
Yong Zang
Yuan Wang
Model for the Whole Roller Leveling Process of Plates with Random Curvature Distribution Based on the Curvature Integration Method
Chinese Journal of Mechanical Engineering
Leveling
Curvature integration method
Curvature
Contact angle
Deflection
title Model for the Whole Roller Leveling Process of Plates with Random Curvature Distribution Based on the Curvature Integration Method
title_full Model for the Whole Roller Leveling Process of Plates with Random Curvature Distribution Based on the Curvature Integration Method
title_fullStr Model for the Whole Roller Leveling Process of Plates with Random Curvature Distribution Based on the Curvature Integration Method
title_full_unstemmed Model for the Whole Roller Leveling Process of Plates with Random Curvature Distribution Based on the Curvature Integration Method
title_short Model for the Whole Roller Leveling Process of Plates with Random Curvature Distribution Based on the Curvature Integration Method
title_sort model for the whole roller leveling process of plates with random curvature distribution based on the curvature integration method
topic Leveling
Curvature integration method
Curvature
Contact angle
Deflection
url http://link.springer.com/article/10.1186/s10033-019-0361-7
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AT yongzang modelforthewholerollerlevelingprocessofplateswithrandomcurvaturedistributionbasedonthecurvatureintegrationmethod
AT yuanwang modelforthewholerollerlevelingprocessofplateswithrandomcurvaturedistributionbasedonthecurvatureintegrationmethod