ERROR PROPAGATION FOR STRAIGHTNESS EVALUATION USING 3-POINT METHOD CONSIDERING LONGITUDINAL POSITIONING ERROR

Tatsuya Kume, Kazuhiro Enami, Yasuo Higashi, Kenji Ueno, Masashi Yamanaka

Abstract

Straightness evaluation using 3-point method has an advantage for evaluating large objects being not affected by straightness references; however, error introduced by each measurement and propagating to the derived straightness should also be taken into account for evaluating large objects. <BR />In this paper, errors propagated to the straightness derived by 3-point method were estimated analytically based on error propagating models and the estimated errors were evaluated by experiments. The results show that each longitudinal positioning error for the straightness detector should be considered for evaluating large object as well as error in each measurement. <BR />The error estimation which considers the positioning error shows existence of optimum sampling interval which minimizes error in the derived straightness. Then the estimated optimum sampling interval is compared with experiment. <BR />Finally, error for the straightness evaluation with the evaluation distance of 1 km was estimated and its optimum sampling interval was also derived.

Keywords

straightness evaluation, 3-point method, error propagation, longitudinal positioning error

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IMEKO-TC14-2014-60.pdf

DOI

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IMEKO TC

TC14 - Measurement of Geometrical Quantities

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