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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 (sunjianliang@ysu.edu.cn)
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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

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