Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-26T01:10:38.477Z Has data issue: false hasContentIssue false
  • English
  • Français

Study on Plate Straightening Process Based on Elastic-Plastic B Spline Finite Strip Method

Published online by Cambridge University Press:  07 May 2020

Jianliang Sun ,
Mengqian Sun ,
Yunjing Jiao  and
Yanan Gao
Jianliang Sun*
Affiliation:
National Engineering Research Center for Equipment and Technology of Cold Strip Rolling, YanShan University, Qinhangdao066004, Hebei, China
Mengqian Sun
Affiliation:
National Engineering Research Center for Equipment and Technology of Cold Strip Rolling, YanShan University, Qinhangdao066004, Hebei, China
Yunjing Jiao
Affiliation:
National Engineering Research Center for Equipment and Technology of Cold Strip Rolling, YanShan University, Qinhangdao066004, Hebei, China
Yanan Gao
Affiliation:
LingYun Industrial Corporation Limited, Zhuozhou072750, Hebei, China
*
*Corresponding author ([email protected])
Get access

Abstract

An elastic-plastic B spline finite strip method is proposed to investigate the continuous plate straightening process in this paper. First, the B spline displacement function that satisfies the boundary conditions of simply supported end and free end of the strip element is established, and then the stress-strain matrix is established. Second, the set method of total stiffness matrix based on B spline finite strip method for plate straightening problem is proposed, and the influence of nodal line number and strip elements number on the sparsity of total stiffness matrix is analyzed. Third, the loads on the strip elements are taken as linear uniform distribution, and the transformation matrix between the equivalent linear load and the actual load of the strip element is established. At last, the plate straightening simulation of 11 rolls straightening machine is made based on the elastic-plastic B spline finite strip method, the calculated results agree with the measured results, which approves that the elastic-plastic B spline finite strip method established can be applied to the plate straightening process.

Keywords

Plate straighteningFinite strip methodElastic-plastic B splineCurvature
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 6 , December 2020 , pp. 737 - 747
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Fu, Cui. “Straightening theory and straightening machine (Second Edition).” Metallurgical Industry Press, China (2005).Google Scholar
Jiachuang, Lian. “Straightening theory and coiling theory.” Mechanical Industry Press, Beijing (2011).Google Scholar
Juan, Huang. “Development and research of process model of medium plate leveler.” Master Dissertation of Wuhan University of Science and Technology, China (2011).Google Scholar
Morris, J W, Hardy, S J, Lees, A W, et al. “Formation of residual stresses owing to tension levelling of cold rolled strip.” Iron Making and Steel Making, 28, pp.44–52 (2001).CrossRefGoogle Scholar
Huh, H, Lee, H W, Park, S R, et al. “The parametric process design of tension leveling with an elasto.plastic finite element method.” Materials Processing Technology, 113, pp.714–719 (2001).Google Scholar
Fusahito, Y, Masaki, U. “Computer-aided process design for the tension levelling of metallic strips.” Journal of Materials Processing Technology, 89, pp.218–223 (2008).Google Scholar
Hailian, Gui, Qiang, Li, Qingxue, Huang, et al · “Analysis of contact problem using improved fast multipole BEM with variable element length theory. ” Journal of Marine Science and Technology, 2, pp.1–7 (2013).Google Scholar
Hailian, Gui, Qingxue, Huang, Yiming, Chen. “Analysis of contact problems using mixed fast multipole boundary element method.” ICIC Express Letters, 4, pp.1281–1285 (2010).Google Scholar
Cunlong, Zhou, Guodong, Wang, Xianghua, Liu, et al. “Determination of work hardening modulus and inverse bending rate during hot straightening of medium plate.” Journal of Plasticity Engineering, 14, pp.133–135 (2007).Google Scholar
Xiaogang, Wang, Qingxue, Huang, Qin, Ma. “Study on transverse wave straightening of medium plate.” China Mechanical Engineering, 20, pp.95–98 (2009).Google Scholar
Yongqin, Wang, Wei, Xu, Xingchun, Yan, et al. “Study on control strategy of transverse residual stress of medium plate.” Iron and Steel, pp.60–62 (2012).Google Scholar
Cheung, Y K. “Finite strip method in the analysis of elastic plates with two opposite ends simply supported.” Proceedings of Instn Civ Engrs, 40, pp.17 (1968).Google Scholar
Bui, H C. “Semi-analytical finite strip method based on the shallow shell theory in buckling analysis of cold-formed sections.” Thin-Walled Structures, 50, pp.141–146 (2012).CrossRefGoogle Scholar
Ying, Zhou. “Simulation of elastic-plastic large deformation spline finite strip simulation in roll forming process.” Qigihar: Doctoral Dissertation of Northeast Heavy Machinery Institute, China (1996).Google Scholar
Zhiwu, Han, Cai, Liu, Ren, et al. “Simulation finite strip method of ERW pipe forming process.” Acta metallurgica Sinica, 36, pp.1219–1222 (2000).Google Scholar
Lele, Zhang, Nanlin, Tan. “Study on the finite strip simulation and visualization of unsymmetric section bar.” Proceedings of the plastic engineering, 12, pp.30–33 (2005).Google Scholar
Zhu, Bofang. “The finite element method theory and application(Fourth edition)”. China water & power press, China (2018).Google Scholar
Chen, ZhengShou, Park, Yeon-Seok, Wang, Liping, et al. “Empirical decomposition method for modeless component and its application to VIV analysis”. Int. J. Nav. Archit. Ocean Eng, 7, pp.301–314 (2015).CrossRefGoogle Scholar
Li, Xiangli, Shi, Juanjuan, Dong, Xiaoliang, et al. “A new conjugate gradient method based on Quasi-Newtonequation for unconstrained optimization”, Journal of Computational and Applied Mathematics, 350, pp.372–379 (2019).CrossRefGoogle Scholar