Analysis and modeling of dynamic positioning error of XY table of object - oriented CNC machine tool
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摘要: 为研究切削力和速度共同影响下对数控机床XY工作台动态定位误差的影响规律，全面分析了XY工作台在切削力影响下的动态误差特性。建立了由滚珠丝杆组件、导轨系统、工作台台面和摩擦力等误差源所引起的动态定位误差分量精确计算模型，推导了XY工作台动态定位误差理论模型。根据其理论模型可知，切削力、运动速度和摩擦力是导致XY工作台动态定位误差的主要来源。通过对切削力下动态定位误差理论模型计算和仿真分析，验证了该理论模型的有效性，证明了切削力对工作台的动态定位误差存在影响，且在不同切削力下工作台运动速度为4 mm/s时动态定位误差最小，将该速度定义为最佳运动速度。其研究结果为建立数控机床的定位误差预测与补偿模型，提高加工精度奠定了良好基础。Abstract: In order to study the effect of cutting force and speed on the dynamic positioning error of XY table of CNC machine tool, the dynamic error characteristics of XY table under the influence of cutting force were analyzed comprehensively. The accurate calculation model of dynamic positioning error components caused by error sources such as ball screw assembly, guide rail system, table surface and friction force is established, and the theoretical model of XY table dynamic positioning error is derived. According to the theoretical model, cutting force, speed and friction are the main sources of dynamic positioning error of XY table. The theoretical model of dynamic positioning error under cutting force is analyzed, calculated and simulated, and the validity of the theoretical model is verified. It is proved that the cutting force has an effect on the dynamic positioning error of the table, and the dynamic positioning error is minimum when the table moving speed is 4 mm/s under different cutting force, and the speed is defined as the best moving speed. The results of this study lay a good foundation for setting up the positioning error prediction and compensation model of NC machine tool to improve the machining accuracy.
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Key words:
- cutting force /
- XY table /
- dynamic positioning error /
- optimal motion speed
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表 1 理论与仿真动态定位误差数据对比
行程/${\text{mm}}$ 理论定位
误差值/${\text{mm}}$仿真定位
误差值/${\text{mm}}$差值/μm 0 −0.031 17 −0.038 02 6.85 25 −0.031 15 −0.038 6.85 50 −0.031 11 −0.037 99 6.84 75 −0.031 07 −0.037 99 6.84 100 −0.030 99 −0.037 99 6.86 125 −0.030 91 −0.037 98 7.07 150 −0.030 84 −0.037 98 7.14 175 −0.030 74 −0.037 97 7.23 200 −0.030 68 −0.037 95 7.27 
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