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首页> 外文期刊>International Journal of Machine Tools & Manufacture: Design, research and application >Analysis of circular trajectory equivalent to cone-frustum milling in five-axis machining centers using motion simulator
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Analysis of circular trajectory equivalent to cone-frustum milling in five-axis machining centers using motion simulator

机译：使用运动模拟器分析五轴加工中心中相当于圆锥台与圆锥台面铣削的圆轨迹

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摘要

The present paper describes the effect of the half apex angle of the cone-frustum on the motion trajectory under simultaneous five-axis motion and the effect of the sensitive direction of the ball bar when the motion trajectory is measured along the three-dimensional circular conical path. In the present paper, simulation of the measurement by means of a ball bar instrument is mainly conducted using a motion simulator developed previously. In particular, a precise mathematical model was developed to express the pitch errors of the axes of rotation of the five-axis machining center having a tilting rotary table driven by worm gears. In the experiment and simulation, primarily the center position and half apex angle of the cone-frustum were varied. In addition, two sensitive directions of the ball bar were investigated. The motion simulator incorporating the pitch error model can express the detailed trajectories obtained by the ball bar, even if the half apex angle and center position of the cone-frustum and the sensitive direction of the ball bar were changed. Then, the influence of the frictional force of the linear axes of motion, and the backlash and pitch error of the axes of rotation on the circular trajectories were analyzed. In particular, for the case of a half apex angle of 45°, the trajectory due to the errors of the axis of rotation is strongly affected by the sensitive direction of the ball bar.
机译：本文描述了同时进行五轴运动时圆锥台的半顶锥角对运动轨迹的影响以及沿三维圆锥形测量运动轨迹时球杆敏感方向的影响。路径。在本文中，主要使用先前开发的运动模拟器对通过球杆仪进行的测量进行模拟。特别是，开发了精确的数学模型来表达具有由蜗轮驱动的倾斜转台的五轴加工中心的旋转轴的螺距误差。在实验和仿真中，主要改变了圆锥台的中心位置和半顶角。此外，还研究了球杆的两个敏感方向。即使改变了圆锥台的半顶角和中心位置以及球杆的敏感方向，结合了螺距误差模型的运动模拟器也可以表达由球杆获得的详细轨迹。然后，分析了线性运动轴的摩擦力以及旋转轴的游隙和俯仰误差对圆形轨迹的影响。特别是对于45°的半顶角，由于旋转轴的误差而引起的轨迹受到球杆敏感方向的强烈影响。

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