空间弯管仿真与回弹补偿

摘要/Abstract

摘要：

回弹是空间弯管成形的主要成形缺陷。为了预测和补偿空间弯管成形中的回弹，通过编写用户幅值子程序（UAMP），将有限元法应用于空间弯管的成形和回弹分析，提出了一种从仿真结果中提取管材中心线的方法。通过圆柱螺线形弯管成形的仿真计算，建立了管材回弹前后中心轴线曲率、挠率的关系。提出了一种基于求解曲线基本方程的空间弯管模具型面补偿方法，论述了曲线几何补偿的数学依据。通过对曲率和挠率(均为非常值)曲线进行补偿计算和成形仿真，对该方法进行了验证。结果表明该方法能够有效补偿回弹误差，保证弯管精度。

关键词: 空间弯管, 回弹, 中心线, Frenet-Serret方程

Abstract:

Springback is a key defect in spatial tube bending. To predict and compensate springback in spatial tube forming, finite element method (FEM) was used to analyze the special tube bending process and its springback. User subroutine to specify amplitude (UAMP) was employed in establishing the FEM model. A centerline extraction method was presented and used to deal with FEM data. Through simulation bending of cylindrical spiral tubes, a mathematical relationship of curvature and torsion before and after sprinback was acquired. Based on solving essential function of spatial curve, a compensation method for spatial tube bending mold was developed and mathematical principle of geometrical compensation was discussed. Springback compensation using the method mentioned above and verification FEM simulation were carried out with a curve whose curvature and torsion were not constant. Simulation results show that the method can compensate springback effectively and ensure the accuracy of spatial tube bending.

Key words: spatial tube-bending, springback, centerline, Frenet-Serret formulas

中图分类号:

TG386.3

熊威, 甘忠. 空间弯管仿真与回弹补偿[J]. 中国机械工程, 2013, 24(23): 3249-3254.

Xiong Wei, Gan Zhong. Simulation and Compensation for Springback in Spatial Tube Bending[J]. China Mechanical Engineering, 2013, 24(23): 3249-3254.

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