Accuracy improvement for RLLLR five-axis machine tools: A posture and position compensation method for geometric errors

Liang, Ruijun; Wang, Zhiqiang; Chen, Weifang; Ye, Wenhua

doi:10.1016/j.jmapro.2021.09.037

Cited by 14 publications

(4 citation statements)

References 28 publications

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“…As shown in Figure 3, the kinematic system of a machine tool is composed of several axes of motion. According to the theory of multi-body systems, the mechanism consisting of individual moving parts is abstracted as a kinematic chain [20]. The bed (base), Y-axis slide, X-axis slide, Z-axis slide, spindle, tool; and the bed (base), A-axis turntable, C-axis turntable, and workpiece have respective corresponding symbols, and the corresponding error elements are listed.…”

Section: Error Modelling Based On Multi-body System Theorymentioning

confidence: 99%

A method of sensitivity analysis and precision prediction for geometric errors of five-axis machine tools based on multi-body system theory

Tan

Liao

Jiang

et al. 2022

Int J Adv Manuf Technol

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In order to ensure the mechanical performance and machining accuracy of the machine tool, the problem of mutual deviations of the machine tool moving parts in the machining process, which cause machining errors and subsequent accuracy prediction difficulties, is solved.Firstly, the structure and motion mechanism of the machine tool are analysed, and a static accuracy model of the machine tool machining posture relationship is established using multi-body system theory and coordinate transformation, and the measured deviation values are fitted and solved according to the formula, and the geometric error law affecting machining accuracy and the distribution of machining point error values in the machine tool motion space are explored. Then the response surface method is used to simplify the solution. Finally, the blade is selected as the machined part and the machining trajectory is extracted for experiments to obtain the error distribution range of the machining surface of the blade.The final experimental results surface, along the Z-directional component and the integrated average compensation rate reached 42.6% and 89.6% respectively, verifying the effectiveness of the method in this paper.

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Section: Error Modelling Based On Multi-body System Theorymentioning

confidence: 99%

A method of sensitivity analysis and precision prediction for geometric errors of five-axis machine tools based on multi-body system theory

Tan

Liao

Jiang

et al. 2022

Int J Adv Manuf Technol

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show abstract

“…16 The Homogeneous Transformation Matrix (HTM) directly transforms the error offset from the starting position of each axis to the tool tip, which has some limitations. 17,18 For the rotating axis, the coordinate transformation is not sensitive to the angle error, while for the straightness error of a single axis, it will vary with the deviation distance between the measuring point and the cutter position point. 19,20 The model considering Bryan error in the measurement process is established in this paper, and the error is compensated, so as to further improve the geometric accuracy of the machine tool.…”

Section: Introductionmentioning

confidence: 99%

The modeling method of machine tool geometry error based on Bryan principle

Liu

Yang²

2023

Advances in Mechanical Engineering

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The error caused by measurement itself directly affects the accuracy of models. The error caused by the failure to follow the Bryan principle in the process of measuring the volumetric error of the machine tool makes the geometric accuracy of the machine tool after compensation less than the ideal effect. In this paper, it is proposed that the measurement error will be caused by the non coincidence of the measurement point and the tool position point in the measurement of linear axis error. According to Bryan principle, the relationship between the center point of the reflective mirror of the laser interferometer and the tool position point is analyzed. The straightness error produced in the measurement process is introduced into the volumetric error of the machine tool, and the geometric model containing the measurement error is established to improve the modeling accuracy of the machine tool. To prove the effectiveness of compensating measurement errors, an experiment has been conducted on a three-axis vertical machining center. The experimental results show that the geometric accuracy of the machine tool is improved by 23% after the measurement error is compensated.

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“…Another method utilizes the principles of multi-body system theory to establish topological and geometric error models, which have found wide application in equipment such as CNC machine tools. [18][19][20][21] This approach has also been applied to contact gear measuring centers. For example, for the self-developed HY 300 gear measurement center, Ye 22 applied the multi-body system topology analysis method to establish the system topology and geometric motion error model.…”

Section: Introductionmentioning

confidence: 99%

Spatial error modeling and accuracy distribution of line laser gear measuring center

Zhang,

Yang,

Liu

2023

Measurement and Control

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The Line laser gear measuring center (LLGMC) is an innovative gear measurement equipment that offers high efficiency but low accuracy. One crucial factor that influences its measurement accuracy is the presence of geometric errors. In this study, we conducted a thorough analysis of these geometric errors and proposed a method for modeling spatial errors. Instead of directly considering the geometric errors, we replaced them with the installation errors of the gear and line laser probe. This approach simplifies and improves the error transmission relationship. Subsequently, the installation errors are converted into a unified representation of the height error of the incident light from the line laser. A spatial error model that considers nine installation errors is then further established. By numerically calculating the sensitivity of different error sources, we effectively identified the errors that have a significant impact on the accuracy of LLGMC. Moreover, accuracy distribution is carried out to ensure that LLGMC can meet the measurement accuracy requirements for gears with a tolerance class of 6. This article provides a theoretical foundation for the structural design and accuracy assurance of LLGMC during the research and development phase.

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Accuracy improvement for RLLLR five-axis machine tools: A posture and position compensation method for geometric errors

Cited by 14 publications

References 28 publications

A method of sensitivity analysis and precision prediction for geometric errors of five-axis machine tools based on multi-body system theory

A method of sensitivity analysis and precision prediction for geometric errors of five-axis machine tools based on multi-body system theory

The modeling method of machine tool geometry error based on Bryan principle

Spatial error modeling and accuracy distribution of line laser gear measuring center

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