For positioning systems utilizing linear guides and trucks with recirculating balls, a method is presented that uses the measured total error motions and the measured phase of ball loops within trucks to determine the influence of each ball loop on the error motions. The influence of ball recirculation on the error motions is estimated a priori via a least-squares solution based on data collected from a multitude of motion tests in which varying phases were measured by sensors integrated into the trucks. This method enables real-time estimation of performance degradations and identification of their sources.

中文翻译：

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轴承滚珠回流对直线轴误差运动的影响

对于使用直线导轨和带有循环滚珠的卡车的定位系统，提出了一种方法，该方法使用测量的总误差运动和卡车内滚珠环的测量相位来确定每个滚珠环对误差运动的影响。球再循环对误差运动的影响是通过最小二乘法基于从大量运动测试中收集的数据先验估计的，在这些测试中，不同的相位是由集成在卡车中的传感器测量的。这种方法可以实时估计性能下降并确定其来源。