Isogeometric algorithm for one-step inverse forming of sheet metal

被引：3
|
作者：
Jia, Qianqian [1 ]
Song, Xuewei [1 ,2 ]
Ji, Ming [3 ]
Chai, Hanhan [1 ]
Lu, Shanbin [1 ,2 ]
机构：
[1] Jilin Univ, Sch Automot Engn, Changchun 130022, Peoples R China
[2] Jilin Univ, State Key Lab Automot Simulat & Control, Changchun 130022, Peoples R China
[3] Tokyo Inst Technol, Inst Innovat Res, 4259 Nagatsuta Cho,Midori Ku, Yokohama 2268503, Japan
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2023年 / 404卷
基金：
中国国家自然科学基金;
关键词：
Isogeometric one-step inverse forming; Discrete surface Ricci flow; The punch force; Greville abscissae; Newton-Raphson iteration; FINITE-ELEMENT-METHOD; DISCRETE UNIFORMIZATION THEOREM; INITIAL SOLUTION ESTIMATION; BLANK DESIGN; PREDICTION; SIMULATION; DEFORMATION; SURFACES; SPLINES; GUESS;
D O I：
10.1016/j.cma.2022.115778
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The isogeometric one-step inverse forming method aims to predict the shape of blanks and the formability of stamping parts using accurate geometry without meshing. In this paper, the discrete surface Ricci flow algorithm in computational conformal geometry is introduced as an unfolding algorithm for one-step inverse forming of isogeometric membrane elements. A combination of discrete surface Ricci flow algorithm and elastic iteration is proposed to predict the initial solution. It is proved applicable, even for the extremely curled parts which have negative angles and vertical walls. In addition, we propose a method that the external force of the punch is equivalent to the control point by means of Greville abscissae. A nonlinear equation system is established based on the principle of minimum potential energy. The Newton-Raphson iteration is used to calculate the blank shape and the thickness distribution of the stamping parts. The examples of square box, flower box, and L shape prove that the algorithm can predict the contour of the initial configuration and the formability of sheet metal stamping.(c) 2022 Elsevier B.V. All rights reserved.
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页数：31
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