Theoretical Analysis of Measuring Accuracy of Three Linear Axis CMMs from Position Errors

Franco, Patricio; Jodar, Jose

doi:10.1007/s12541-019-00198-7

Cited by 9 publications

(5 citation statements)

References 17 publications

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“…There are no obvious regular fluctuations, and compared with the radius value of the compensation point, the fluctuation amplitude is smaller. The error ε 2 of the intersection radius value is calculated as shown in equation (23), and the maximum error amplitude is 13.26 × 10 −6 mm. The error of all intersection radius values is greater than 0, which is because the point cloud values of the CAD model ball are slightly smaller than the ball radius:…”

Section: Analysis Of Simulation Resultsmentioning

confidence: 99%

“…The negative sign here indicates that the calculated compensation point is outside the theoretical workpiece ball. The intersection radius error is calculated by equation (23), as shown in figure 13(b). The fluctuation of the intersection radius error under different radial error amplitudes is not consistent, and there is no obvious rule.…”

Section: Methods Discussionmentioning

confidence: 99%

“…Ideally, the measurement data set at the center of the probe is the probe path designed from the CAD model. However, in the actual measurement process, due to the machining error of the machined surface, the error of the probe trigger system, the error of the motion system, and the external vibration, etc [20][21][22][23], the probe cannot accurately measure according to the planned path. Compared with the designed probe measurement path, the actual probe measurement path has fluctuation error, as shown in figure 1.…”

Section: Fluctuation Error Of Probementioning

confidence: 99%

See 2 more Smart Citations

A 3D radius compensation method to reduce the influence of probe fluctuation error in blade space curve measurement

Wang¹,

Zhang²,

Jia³

et al. 2022

Meas. Sci. Technol.

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In the contact measurement of the CMM, the space curve cannot obtain the third-dimension information of its compensation vector by itself. Moreover, the fluctuation error of the probe will cause the unknown spatial offset of the contact point of the curve, making it more difficult to obtain the third-dimensional information of the compensation vector. A 3D radius compensation method based on iterative third-dimensional information is proposed in this paper. The distance value between the intersection point and the compensation point is used as the convergence condition to approximate the offset contact point. The simulation test results show that the error accuracy of radial parameters is 0.1μm and the error accuracy of Z-direction parameters is 1μm when only Z-direction fluctuation error is considered. The real machine test results show that this method is closer to the actual situation than the 2D radius compensation method.

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Section: Analysis Of Simulation Resultsmentioning

confidence: 99%

Section: Methods Discussionmentioning

confidence: 99%

Section: Fluctuation Error Of Probementioning

confidence: 99%

See 1 more Smart Citation

A 3D radius compensation method to reduce the influence of probe fluctuation error in blade space curve measurement

Wang¹,

Zhang²,

Jia³

et al. 2022

Meas. Sci. Technol.

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show abstract

“…The linear displacement measurement system mainly includes grating ruler, servo motor and linear motion mechanism [1]. Although the precision of grating ruler is high, the precision of servo motor and linear motion mechanism is low.…”

Section: Introductionmentioning

confidence: 99%

A dynamic and nonlinear time grating subdivision method for magnetic levitation ruler

Sun,

Tian,

Chen

et al. 2024

Fourth International Conference on Telecommunications, Optics, and Computer Science (TOCS 2023)

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The displacement measurement system consists of an edge finder, a displacement drive system, and a grating. The system structure is complex. Magnetic levitation ruler can achieve both driving and detection functions simultaneously. The subdivision of the output signal of the magnetic levitation ruler can improve the detection accuracy of the magnetic levitation ruler. According to the characteristics of the magnetic levitation ruler, under the condition of constant magnetic induction intensity and horizontal control coil current, the displacement of the mover core is proportional to the square of the movement time. This article proposes a dynamic and nonlinear grid subdivision method based on the time-space conversion method. This article uses TDC-GP22 to set the length of the time grid, which can achieve 1000 times subdivision of the output signal of the magnetic levitation ruler. The subdivision of the output signal of the magnetic levitation ruler improves the measurement accuracy of the magnetic levitation ruler.

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“…The linear displacement measurement system mainly includes grating ruler, servo motor and linear motion mechanism. 1 Although the accuracy of grating ruler is high, the accuracy of servo motor and linear motion mechanism is low. Therefore, the complex structure of servo motor and linear motion mechanism limits the measurement accuracy of the linear displacement measurement system.…”

Section: Introductionmentioning

confidence: 99%

A novel magnetic circuit and structure for magnetic levitation ruler

Sun

Пин

Zheng

et al. 2023

Measurement and Control

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The single axis linear displacement measurement system of CMM is composed of grating ruler, servo motor and linear motion mechanism. Although the measuring accuracy of grating ruler is high, the accuracy of servo motor and linear motion mechanism is low. Therefore, the complex structure limits the measurement accuracy of the linear displacement measurement system. This paper introduces a novel linear displacement measurement system named magnetic levitation ruler. According to the working principle of grating ruler and the characteristics of magnetic levitation technology, the magnetic circuit design and structural design of magnetic levitation ruler are completed in this paper. The mover core of the magnetic levitation ruler is in the stable working magnetic field provided by the stator yoke. The horizontal control coil wound on the mover core can obtain more stable ampere force to improve the control accuracy of the mover core displacement. Therefore, the mover core can be moved in step mode, and the length of each step is fixed. Each step is the minimum scale of the magnetic levitation ruler. Therefore, the mover core can implement displacement measurement while moving in a linear motion. This paper analyzes the working principle of levitation, horizontal motion, and displacement measurement of magnetic levitation ruler, and determines the structural materials and parameters of magnetic levitation ruler with the help of finite element analysis software. The simulation results show that the levitation force of the magnetic levitation ruler is proportional to the current passing through the levitation coils, and the thrust of the horizontal control coil is less disturbed by the magnetic field. Compared with the linear displacement measurement system with rotational servo motor or permanent magnet synchronous linear motor as the core, the magnetic levitation ruler has stable magnetic field, strong controllability, high integration, and is easier to achieve high-precision control.

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Theoretical Analysis of Measuring Accuracy of Three Linear Axis CMMs from Position Errors

Cited by 9 publications

References 17 publications

A 3D radius compensation method to reduce the influence of probe fluctuation error in blade space curve measurement

A 3D radius compensation method to reduce the influence of probe fluctuation error in blade space curve measurement

A dynamic and nonlinear time grating subdivision method for magnetic levitation ruler

A novel magnetic circuit and structure for magnetic levitation ruler

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