Spindle error motion measurement using concentric circle grating and phase modulation interferometers

Aketagawa, Masato; Madden, Muhummad; Uesugi, Shuhei; Kumagai, Toshiki; Maeda, Yoshitaka; Okuyama, Eiki

doi:10.1117/12.2000812

Cited by 5 publications

(3 citation statements)

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“…All other methods also measured the error motions of the top rotary table or the external spindle. 13–25 The eccentricity and the tilt of the top table relative to the axis of rotation, that is, the inner spindle, were ignored. From equation (2), it can be estimated that even a very small radial motion of the table in the tangential direction of the grating disk will generate an obvious error of the grating, because the encoder size is normally small.…”

Section: Geometric Error Measurementsmentioning

confidence: 99%

“…It is known that longer testing times result in increased environmental influence. Therefore, many previous studies have proposed various multi-degree-of-freedom (MDOF) measuring methods for an axis of rotation (for spindles) and a rotary table, 13–25 but they all investigated the error separation techniques among combined errors. The rotary angular positioning error caused by other effective errors, such as tilt and radial errors, has little been investigated.…”

Section: Introductionmentioning

confidence: 99%

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A novel method of angular positioning error analysis of rotary stages based on the Abbe principle

Fan

2017

Proceedings of the Institution of Mechanical Engineers, Part B:

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Abbe error is the inherent systematic error in linear displacement measurement due to the measuring axis being out of line with the moving axis. The resulting gap is called the Abbe offset, which will multiply the angular pitch error of the moving stage to become the positioning error of the linear stage along the moving axis. Analogous to the Abbe principle, in the rotary stage, the rotary encoder is used to detect the worktable’s rotational angle. The encoder is normally mounted at a distance from the bearing. This distance can be also regarded as Abbe offset. Due to the inherent tilt and radial motions of the axis of rotation, the encoder’s rotating component, that is, the circular grating, would result in a lateral displacement relative to its sensing head that is fixed inside the stage housing. The actual measured angle is, therefore, different from the commanded angle, causing the angular positioning error of the rotary stage in machine tools and open-loop controlled system. In this article, the angular positioning error of the rotary stage caused by the tilt motion error and radial motion error of the spindle, the offset and the size of encoder is analyzed and experimentally verified.

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Section: Geometric Error Measurementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A novel method of angular positioning error analysis of rotary stages based on the Abbe principle

Fan

2017

Proceedings of the Institution of Mechanical Engineers, Part B:

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“…Zhang proposed a novel measuring method for geometric error identification of the rotary table on five axis machine tools using a double ball bar [9]. Akategawa proposed concentric circle grating and phase modulation interferometers to achieve concurrent measurement of all 6-DOFerrors of a rotary table [10]. Evans et al expressed a general methodology of self-calibration in dimensional metrology using a reversal or error separation method, including the spindle errors [11].…”

Section: Introductionmentioning

confidence: 99%

An Analysis of Angular Indexing Error of a Gear Measuring Machine

et al. 2018

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Featured Application: The method introduced in the paper can be applied to, and can increase angular indexing accuracy of, all machines equipped with a mandrel to rotate the workpiece, such as gear measuring machines (GMMs), gear grinding machines, polygon grinding machines, cam grinding, and measuring machines. Abstract:In gear measuring machines (GMMs), the tested gear is mounted on a mandrel, which is pivoted at both ends by two centers in a vertical arrangement. The upper center is fixed and the lower center is driven by the spindle of rotation. The coaxiality error between the central line of the mandrel and the spindle average line of a GMM always exists in terms of the offset and angle measured in one plane. Such a coaxiality error would cause an angular indexing error of tested gear resulting in measurement error. This phenomenon has rarely been investigated. In this paper, a GMM is taken as an example and its coaxiality error of the mandrel and spindle error of the rotary stage are measured. The difference of rotated angles between the mandrel and spindle is theoretically analyzed by derived formulae. Calibrated by a precision polygon and an autocollimator, the predicted angular index error of the mandrel was consistent with experimental results. Through the experimental verification, it was found that, when the coaxial deviation between the two centers was 10 µm and the lower center tip's radial motion error was 1.6 µm, the angular indexing deviation of the mandrel was ±5 . If the errors were compensated according to the analyzed model, the residual error was reduced to ±2 . A significant improvement in the angular positioning accuracy of the GMM can be achieved.

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A Novel Method of Rotational Error Analysis of Rotary Stages Based on Abbe Principle

Fan

2022

Proceedings of the 38th International MATADOR Conference

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Spindle error motion measurement using concentric circle grating and phase modulation interferometers

Cited by 5 publications

References 0 publications

A novel method of angular positioning error analysis of rotary stages based on the Abbe principle

A novel method of angular positioning error analysis of rotary stages based on the Abbe principle

An Analysis of Angular Indexing Error of a Gear Measuring Machine

A Novel Method of Rotational Error Analysis of Rotary Stages Based on Abbe Principle

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