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分析了激光跟踪系统中两回转轴的轴承内圈跳动引起的测量误差,建立了误差的数学模型。根据该模型绘制了测量误差在测量空间的分布图。指出由轴承跳动引起的测量误差不可忽略。当轴承跳动量一定时,最大测量误差位于俯仰角等于π/2的平面上。根据该误差模型,跟踪系统的设计者可以预先估计不同精度等级的轴承跳动引起的误差大小,以选择适合系统设计精度的轴承等级。同时,该模型还指出使用跟踪系统进行测量时,应尽量避免将被测点设置在系统俯仰角等于π/2的平面上,以获得高精度的测量结果。
The measurement errors caused by the bouncing of bearing inner rings on the two rotating shafts in the laser tracking system are analyzed. The mathematical model of the error is established. According to the model, the distribution of measurement error in the measurement space is plotted. Pointed out that the measurement error caused by bearing runout can not be ignored. When the amount of bearing runout is constant, the maximum measurement error lies on a plane whose pitch angle is equal to π / 2. According to the error model, the tracking system designer can estimate the error caused by the bearing bouncing of different precision grades in advance, so as to select the bearing grade suitable for the system design accuracy. At the same time, the model also points out that when using the tracking system to measure, try to avoid setting the measured point on the plane whose system pitch angle is equal to π / 2, so as to obtain high-precision measurement results.