• CN：11-2187/TH
• ISSN：0577-6686

• 材料科学与工程 •

### 往复弯曲统一曲率定理及其试验验证*

1. 1. 先进锻压成形技术与科学教育部重点实验室(燕山大学) 秦皇岛 066004;
2. 燕山大学机械工程学院 秦皇岛 066004
• 出版日期:2016-09-20 发布日期:2016-09-20
• 作者简介:

作者简介：于高潮，男，1988年出生，博士研究生。主要研究方向为板材和管材成形理论及成形工艺。

E-mail：gch_yu@ysu.edu.cn

赵军(通信作者)，男，1957年出生，博士，教授，博士研究生导师。主要研究方向为板材成形及其智能化控制技术和精密塑性成形技术。

E-mail：zhaojun@ysu.edu.cn

• 基金资助:
* 国家自然科学基金(51575473)、河北省钢铁联合研究基金(E2016203209)和河北省自然科学基金(E2015203244，E2016203266)资助项目; 20151116收到初稿，20160708收到修改稿;

### Uniform Curvature Theorem by Reciprocating Bending and Its Experimental Verification

YU Gaochao1, 2, ZHAO Jun1, 2, MA Rui1, 2, ZHAI Ruixue1, 2

1. 1. Key Laboratory of Advanced Forging & Stamping Technology and Science(Yanshan University)，Ministry of Education of China， Qinhuangdao 066004;
2. College of Mechanical Engineering， Yanshan University， Qinhuangdao 066004
• Online:2016-09-20 Published:2016-09-20

Abstract:

：In the roller-type straightening process and setting round process, the initial curvature is unified by means of the reciprocating bending. The deformation law of reciprocating bending is the theoretical basis for determining the process parameters. In the reciprocating bending process, a set of symbol system is established, and the bending curvature and moment are both vector. The small curvature plane bending springback equation and strain superposition principle are the theoretical basis. The initial equivalent strain and equivalent strain are introduced. Considering the deformation hardening, Baushinger effect and cyclic softening, the reciprocating bending springback process is analyzed by using the graphic method. It shows that the reciprocating bending eliminates the difference of initial curvatures and makes the curvatures be in the same direction and have same value. The uniform curvature theorem by reciprocating bending is presented. The bending test device is designed. The different material plates that has different initial shape are used to carry out the reciprocating bend test. The variation of residual curvature and the deviation of fitting arc are discussed. The correctness of the uniform curvature theorem is proved. It lays the theoretical foundation for the development of process plan and control strategy in the roller-type straightening and setting round process.