Research on Geometric Errors Measurement of Machine Tools Using Auto-Tracking Laser Interferometer

Chen, Jr-Rung; Ho, Bang-Ching; Lee, Hau-Wei; Pan, Shan-Peng; Hsieh, Tsung‐Han

doi:10.4236/wjet.2018.63039

Cited by 6 publications

(4 citation statements)

References 4 publications

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“…As a representative of modern precision measuring instruments, laser interferometer has been widely used in high-end equipment fields such as CNC machine tools and coordinate measuring machines [24].…”

Section: Measurement and Identification Of Geometric Errorsmentioning

confidence: 99%

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Research on Geometric Error Modeling and Compensation Method of CNC Precision Cylindrical Grinder Based on Differential Motion Matrix and Jacobian Matrix

Fan¹,

Ye²

2021

Preprint

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In this paper, the geometric error modeling method of CNC cylindrical grinder based on the differential motion relationship between coordinate systems, the function fitting model method of basic geometric error terms based on cftool toolbox and the error compensation method based on Jacobian matrix are proposed. Firstly, the differential motion theory, which is widely used in the field of robot kinematics error modeling, is used to build the machine tool space machining error model of CNC cylindrical grinder. Different from the multi-body theory, this modeling method can clearly reflect the influence degree of each moving part on the grinding wheel cutter. Secondly, SJ6000 laser interferometer was used to measure and identify the geometric error terms of B2-K3032 CNC precision cylindrical grinder. MATLAB cftool toolbox was used to perform mathematical function fitting on the known error data, and the mathematical relationship between 24 geometric errors and machining instructions was found. Finally, combining with the 24 Sum of Sine function model, the known verticality error and position deviation, the differential motion matrix of each moving part in the tool coordinate system and the corresponding Jacobian matrix, the compensation quantity (dx dz db dc) of the comprehensive geometric error in the tool coordinate system by the CNC precision cylindrical grinder is obtained. In order to verify the feasibility of the above method, RA1000 series roundness meter was used to measure the radial circular runout error before and after the correction. The experimental results show that the precision of each shaft section is increased by 17.54%, 15.22%, 15.71%, 18.4%, 12.87%, respectively, and the average machining accuracy is increased by 15.948%. Therefore, the above methods are effective and reasonable for improving the precision of spindle workpieces, and can also be used for reference in the initial design stage of CNC cylindrical grinder manufacturing enterprises or improving the machining accuracy of existing machine tools.

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Section: Measurement and Identification Of Geometric Errorsmentioning

confidence: 99%

“…Fig 24. The Sum of sine fitting curve of the geometric error of the displacement of each axis of motion…”

mentioning

confidence: 99%

Research on Geometric Error Modeling and Compensation Method of CNC Precision Cylindrical Grinder Based on Differential Motion Matrix and Jacobian Matrix

Fan¹,

Ye²

2021

Preprint

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“…Out of these 21 errors, with the help of interferometric devices, one can perform measurements for linear and angular positioning, straightness, flatness, squareness and parallelism evaluations for all the movements of the component. [14,15] Along with the advantages of using interferometers, there are also some uncertainties and limitations of this measuring method, which need to be overcome in order to obtain a precise and unaltered measurement. One of the most encountered issues is the environmental conditions instability, IOP Publishing doi:10.1088/1757-899X/1268/1/012009 2 the laser beam requiring a stable environment in order to obtain reliable results.…”

Section: Introductionmentioning

confidence: 99%

Interferometric evaluation of positioning error and position repeatability on CNCs

Stochioiu

Stochioiu²,

Rolea³

et al. 2022

IOP Conf. Ser.: Mater. Sci. Eng.

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The interferometer is widely used for various applications concerning high precision distance and position measurements, especially for the calibration of numerically controlled machines. While the setup procedures of the interferometer may be provided by the manufacturer, some calibration procedures are well defined by the international standards. Since the operation of interferometers requires qualified personnel, some helpful hints for the novice users are to be presented in this paper. Even if the interferometer is highly recommended by international calibration standards, some factors are prone to intervene into the quality of results. This paper presents the experimental results for the evaluation of positioning accuracy and repeatability on Y axis of two vertical machining centres. The results show the high importance of environmental conditions compensation, the impact of time pauses during the measurement procedure and the implications of the increment of measuring target positions.

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“…Ameta compared several tolerance analysis methods in common use [15,16] and constructed Tolerance-Maps to model the composite positional tolerancing [17]. In terms of the measurement instrument of geometric error, Chen used an auto-tracking laser interferometer to measure the geometric error of machine tools [18]. Peng used a double ball bar to measure geometric errors of the rotary axis on a multi-axis machine tool based on kinematic analysis [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Coupling and Decoupling Measurement Method of Complete Geometric Errors for Multi-Axis Machine Tools

et al. 2020

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Precision and ultra-precision machining technology rely mainly on the machine tools’ accuracy. To improve it, the measurement, calculation, prediction and control of geometric errors are critical. The traditional measurement methods have lower precision because of ignoring small angle errors. To obtain complete geometric errors of multi-axis machine tools, this paper proposes a new method of coupling and decoupling measurement. Specifically, we used a laser interferometer and dial indicators to measure 36 items of complete geometric errors of multi-axis machine tools. A homogeneous transformation matrix (HTM) was applied to model the error transfer route. The transfer law of complete errors for each machining point was explored and derived. Furthermore, we selected and calculated integrated errors of 36 machining points. Finally, we proved the correctness of the method by comparing the measurement result of a ball bar test and coupling and decoupling measurement of geometric errors. We found that items of small geometric angle errors have a greater impact on machining accuracy than those of geometric displacement errors. Complete geometric errors measured via the coupling and decoupling measurement method can evaluate integrated errors more precisely and comprehensively.

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Research on Geometric Errors Measurement of Machine Tools Using Auto-Tracking Laser Interferometer

Cited by 6 publications

References 4 publications

Research on Geometric Error Modeling and Compensation Method of CNC Precision Cylindrical Grinder Based on Differential Motion Matrix and Jacobian Matrix

Research on Geometric Error Modeling and Compensation Method of CNC Precision Cylindrical Grinder Based on Differential Motion Matrix and Jacobian Matrix

Interferometric evaluation of positioning error and position repeatability on CNCs

Coupling and Decoupling Measurement Method of Complete Geometric Errors for Multi-Axis Machine Tools

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