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作 者:Jun Zha Huijie Zhang
机构地区:[1]School of Mechanical Engineering,Xi’an Jiaotong University,Xi’an 710049,China [2]Xi’an Jiaotong University Suzhou Academy,Suzhou 215123,China
出 处:《Chinese Journal of Mechanical Engineering》2024年第2期150-162,共13页中国机械工程学报(英文版)
基 金:Supported by Natural Science Foundation of Shaanxi Province of China(Grant No.2021JM010);Suzhou Municipal Natural Science Foundation of China(Grant Nos.SYG202018,SYG202134).
摘 要:Laser tracers are a three-dimensional coordinate measurement system that are widely used in industrial measurement.We propose a geometric error identification method based on multi-station synchronization laser tracers to enable the rapid and high-precision measurement of geometric errors for gantry-type computer numerical control(CNC)machine tools.This method also improves on the existing measurement efficiency issues in the single-base station measurement method and multi-base station time-sharing measurement method.We consider a three-axis gantry-type CNC machine tool,and the geometric error mathematical model is derived and established based on the combination of screw theory and a topological analysis of the machine kinematic chain.The four-station laser tracers position and measurement points are realized based on the multi-point positioning principle.A self-calibration algorithm is proposed for the coordinate calibration process of a laser tracer using the Levenberg-Marquardt nonlinear least squares method,and the geometric error is solved using Taylor’s first-order linearization iteration.The experimental results show that the geometric error calculated based on this modeling method is comparable to the results from the Etalon laser tracer.For a volume of 800 mm×1000 mm×350 mm,the maximum differences of the linear,angular,and spatial position errors were 2.0μm,2.7μrad,and 12.0μm,respectively,which verifies the accuracy of the proposed algorithm.This research proposes a modeling method for the precise measurement of errors in machine tools,and the applied nature of this study also makes it relevant both to researchers and those in the industrial sector.
关 键 词:Multi-point positioning Multi-station synchronization CNC machine tool Geometric error Error separation
分 类 号:TG502.13[金属学及工艺—金属切削加工及机床] TG95
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