A fast and simple algorithm for evaluation of minimum zone straightness error from coordinate data

Dhanish, P.B.; Mathew, Jose

doi:10.1007/s00170-005-0317-1

Cited by 18 publications

(4 citation statements)

References 13 publications

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“…According to the minimum zone method [23], table 7 presents the straightness error of the comparative results and verifies that the error can be greatly reduced by establishing the dynamic reference coordinate system.…”

Section: Effectiveness Of Establishing Dynamic Reference Coordinate S...mentioning

confidence: 96%

An error reduction method of a binocular measurement system under vibrating conditions

Chen

Zhang

et al. 2020

Meas. Sci. Technol.

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To solve the problem of large measurement errors caused by vibrations of the surrounding environment, an error reduction method of a binocular measurement system is proposed. A light pen with a V-8 layout is designed to estimate the pose, and coded markers are used to establish a dynamic reference coordinate system to reduce the measurement error mainly caused by vibrations. The experimental results indicate that the light pen is highly accurate in pose estimation, and a root mean square error of the standard blocks and standard balls can be achieved within 0.02 mm when the measurement distance is 1.5 m. By measuring the straightness error of an ABB robot’s manipulator in a comparative experiment, the effective establishment of the dynamic reference coordinate system is preliminarily proven. The experiments are then conducted under vibrating conditions to calculate the standard deviations of the light pen probe center on the X-, Y-, and Z-axes with different quantities (3 and 4) of coded markers, which verify the high accuracy and real-time requirement of the method with a standard deviation below 0.040 mm and a processing speed above 45 frames per second when the measurement distance is 2 m.

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Section: Effectiveness Of Establishing Dynamic Reference Coordinate S...mentioning

confidence: 96%

An error reduction method of a binocular measurement system under vibrating conditions

Chen

Zhang

et al. 2020

Meas. Sci. Technol.

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“…7, we can conclude that the measuring repeatability of the experimental setup with the system uncertainty (k ¼ 3) is less than 1 mm at a range of 1000 mm. The guideway straightness error (d ave ) in the lateral coordinate direction is 1.297 mm, which is evaluated by using the algorithm of the minimum zone [11]. In the same way, it is 1.15 mm as measured by the autocollimator mentioned above.…”

Section: Comparison Testmentioning

confidence: 99%

A method for measuring the guideway straightness error based on polarized interference principle

Zhu

Liu

et al. 2009

International Journal of Machine Tools and Manufacture

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“…3b). The saddleback shaft was analysed, so the contact between the cooperating surfaces was analysed only on the length 1 mm of the shaft from its end [5][6][7]. The shaft had a four-angular shape of cross-section.…”

Section: Numerical Investigationsmentioning

confidence: 99%

Contact Problems between the Hub and the Shaft with a Four-Angular Shape of Cross-Section for Different Angular Positions

Dudziak¹,

Domek

Kołodziej³

et al. 2015

AMM

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The works [1, 2] present the values of the force and moment of friction needed to disassemble the axisymmetric connection with oval and three-angular shape of cross-section of the shaft. These works additionally show the variable values of the Mises stresses and contact pressures. This paper presents research which is a continuation of the research program on the evaluation of the influence of cross-section deviations, radial deviations, and their compilations on the value of the contact area in the connection. The limited contact area has a decisive impact on functional and operational parameters of the connection. Point contact between the shaft and the hole is the reason of the reduction of load transmission. The paper concerns the connection between the shaft with four-angular shape of cross-section with the deviation Tw = 13 μm and the hub with the nominal roudness. The authors have proved the occurrence of variable values of the force and moment of friction during disassembling of the connection. The authors have also showed the occurrence of variable values of the reduced stresses and contact pressures.

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A fast and simple algorithm for evaluation of minimum zone straightness error from coordinate data

Cited by 18 publications

References 13 publications

An error reduction method of a binocular measurement system under vibrating conditions

An error reduction method of a binocular measurement system under vibrating conditions

A method for measuring the guideway straightness error based on polarized interference principle

Contact Problems between the Hub and the Shaft with a Four-Angular Shape of Cross-Section for Different Angular Positions

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