Design and experimental verification of novel six-degree-of freedom geometric error measurement system for linear stage

Chen, Yu-Ta; Lin, Wan‐Chen; Liu, Chien-Sheng

doi:10.1016/j.optlaseng.2016.10.026

Cited by 49 publications

(35 citation statements)

References 34 publications

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“…After matrix operations, the two tilt error sums C α ε and C β ε of C-axis were obtained as stated in Equations (21) and (22), in which the position error of A-axis was taken as a known constant. Equation (19) was obtained based on the coordinate transformation relationship between actual spherical point coordinate P 1 in W rC and two sets of spherical points S 1 , S 1 , S 2 , S 2 in W iC as:…”

Section: R C R T R a R T T S R T R A R T T Smentioning

confidence: 99%

“…In the study of the geometric error measurement and identification methods of five-axis machine tools, the positioning error of each linear axis, two straightness errors, three corner errors, and the perpendicularity between the two axes can be directly measured by a laser interferometer or other optical measuring systems [19][20][21]. Laser tracer technology is used for the volumetric error mapping and compensation of geometric errors of machine tools [22].…”

Section: Introductionmentioning

confidence: 99%

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Geometric Error Identification and Analysis of Rotary Axes on Five-Axis Machine Tool Based on Precision Balls

Liu

et al. 2019

Applied Sciences

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This paper presents the design of a precise "ball-column" device to efficiently and accurately measure the geometric error terms of both rotary axes of the five-axis machine tool. A geometric error measurement method of spherical contact was proposed based on the influence of the geometric error term from a five-axis machine tool rotating axis on the integrated geometric error of the machine tool. A multiple degree of freedom, step-by-step contact method based on on-machine measure for measuring the spherical center point is proposed, and the solution formula of each geometric error term of the rotating axis is established, respectively. This method can identify 12 geometric errors based on the influence of one rotating axis on another rotating axis after long term operation. The spatial error field of the five-axis machine tool was constructed by analyzing the error law of the two rotating axes of machine tools based on various positions and postures. Finally, after the comparison of the experiment, the results showed that the accuracy of the developed error measurement device reached 91.8% and the detection time was as short as 30-40 min.

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Section: R C R T R a R T T S R T R A R T T Smentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Geometric Error Identification and Analysis of Rotary Axes on Five-Axis Machine Tool Based on Precision Balls

Liu

et al. 2019

Applied Sciences

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“…Comparison results of direct and indirect methods for geometric error measurement [30,31] indicate that because of ignoring angle errors, researches above lack completeness of geometric errors [32]. For example, Chen designed a novel six-degree-of freedom geometric error measurement system for a linear stage [33]. Hsieh designed a geometric error measurement system for linear guideway assembly and calibration [34].…”

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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“…The commonly used measuring instruments or methods include laser, Hall sensor, inertial measurement unit (IMU), total station, and vision. Laser measurement methods, which include laser interferometer [ 2 ], laser tracker [ 3 ], and laser collimation method [ 4 ], have high accuracy, but a special optical path needs to be designed using a lens [ 5 , 6 , 7 ]. As a result, it has requirements on the size or range of motion of the measured object.…”

Section: Introductionmentioning

confidence: 99%

Multi-Camera-Based Universal Measurement Method for 6-DOF of Rigid Bodies in World Coordinate System

Zhao

Zhu

et al. 2020

Sensors

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The measurement of six-degrees-of-freedom (6-DOF) of rigid bodies plays an important role in many industries, but it often requires the use of professional instruments and software, or has limitations on the shape of measured objects. In this paper, a 6-DOF measurement method based on multi-camera is proposed, which is accomplished using at least two ordinary cameras and is made available for most morphological rigid bodies. First, multi-camera calibration based on Zhang Zhengyou’s calibration method is introduced. In addition to the intrinsic and extrinsic parameters of cameras, the pose relationship between the camera coordinate system and the world coordinate system can also be obtained. Secondly, the 6-DOF calculation model of proposed method is gradually analyzed by the matrix analysis method. With the help of control points arranged on the rigid body, the 6-DOF of the rigid body can be calculated by the least square method. Finally, the Phantom 3D high-speed photogrammetry system (P3HPS) with an accuracy of 0.1 mm/m was used to evaluate this method. The experiment results show that the average error of the rotational degrees of freedom (DOF) measurement is less than 1.1 deg, and the average error of the movement DOF measurement is less than 0.007 m. In conclusion, the accuracy of the proposed method meets the requirements.

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Design and experimental verification of novel six-degree-of freedom geometric error measurement system for linear stage

Cited by 49 publications

References 34 publications

Geometric Error Identification and Analysis of Rotary Axes on Five-Axis Machine Tool Based on Precision Balls

Geometric Error Identification and Analysis of Rotary Axes on Five-Axis Machine Tool Based on Precision Balls

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

Multi-Camera-Based Universal Measurement Method for 6-DOF of Rigid Bodies in World Coordinate System

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