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Appl. Sci. 2016, 6(12), 383;

Error Averaging Effect in Parallel Mechanism Coordinate Measuring Machine

School of Instrument Science and Opto-electronic Engineering, Hefei University of Technology, Hefei 230009, China
Author to whom correspondence should be addressed.
Academic Editor: Richard Leach
Received: 15 September 2016 / Revised: 18 November 2016 / Accepted: 18 November 2016 / Published: 25 November 2016
(This article belongs to the Special Issue Dimensional Micro and Nanometrology)
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Error averaging effect is one of the advantages of a parallel mechanism when individual errors are relatively large. However, further investigation is necessary to clarify the evidence with mathematical analysis and experiment. In the developed parallel coordinate measuring machine (PCMM), which is based on three pairs of prismatic-universal-universal joints (3-PUU), error averaging mechanism was investigated and is analyzed in this report. Firstly, the error transfer coefficients of various errors in the PCMM were studied based on the established error transfer model. It can be shown how the various original errors in the parallel mechanism are averaged and reduced. Secondly, experimental measurements were carried out, including angular errors and straightness errors of three moving sliders. Lastly, solving the inverse kinematics by numerical method of iteration, it can be seen that the final measuring errors of the moving platform of PCMM can be reduced by the error averaging effect in comparison with the attributed geometric errors of three moving slides. This study reveals the significance of the error averaging effect for a PCMM. View Full-Text
Keywords: error averaging effect; parallel mechanism; parameter error; coordinate measuring machine error averaging effect; parallel mechanism; parameter error; coordinate measuring machine

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Hu, P.-H.; Yu, C.-W.; Fan, K.-C.; Dang, X.-M.; Li, R.-J. Error Averaging Effect in Parallel Mechanism Coordinate Measuring Machine. Appl. Sci. 2016, 6, 383.

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