五坐标数控技术的联动原理

THE COORDINATED PRINCIPLE OF 5-AXIS NC TECHNOLOGY

本文通过对五坐标数控技术的坐标运动规律进行分析研究，揭示了五坐标数控技术的联动原理．即建立了从ＣＡＤ中的理想轨迹的几何特性（包括位置、切矢、曲率）和五坐标联动的运动动力学特性（包括位移、进给速度、各坐标理想速度和加速度）之间的通用数学模型．从而可根据被加工零件表面的几何形状和机床的进给速度确定联动过程中各坐标的理想速度和理想加速度．

In this paper, the law of the coordination motion on 5-axis NC technology is Studied, the coordination principle of 5-axis NC technology is proposed, i. e., a general mathematical model on the conversion from the desired paths in a CAD model to motion trajectory is analytically derived. The geometrical properties of a desired path, including position, tangent and curvature are related to the kinematics of coordinated motion induding displacement, feedrate, acceleration. As a result, the desired velocity and acceleration of each one motion coordinate in the coordinated motion can be worked out according to the geometrical shape of the part surface and the feedrate of 5-axis machine tool.