薄壁管NC弯曲加工中芯轴的设计与运动学仿真(英文)

Design and Kinematics-simulation of Mandrel in NC Bending Process of Thin-walled Tube

在薄壁管的NC绕弯加工中,最小弯曲半径由芯轴的结构特点和连接方式确定,弯曲半径的值决定了芯轴块间是否发生碰撞干涉。通过分析芯轴的解析几何模型,建立了发生碰撞干涉时最小弯曲半径的数学方程,采用Matlab对方程进行求解得到最小弯曲半径的值。同时建立芯轴的运动学仿真模型,并基于OBB二叉树算法快速准确的完成碰撞干涉检测。芯轴的运动学仿真结果与Matlab的计算结果具有很好的一致性。

In NC rotary-draw bending of thin-walled tube the value of minimum bending radius which keeps the mandrel balls from interference and collision is confined by structure characteristic and joint fashion. According to analyzing geometry of mandrel, the mathematic function was built to avoid intersecting between mandrel balls, and Matlab was adopted to solve the complex equation finding the minimum bending radius. Synchronously the kinematics-simulation of mandrel movement was realized, and the interference detection arithmetic based on OBB binary tree was established, which could complete the interference detection rapidly and accurately. The kinematics-simulation result＇s good performance is proved by the Matlab-calculating results.