Abstract
Geometric errors are inevitably introduced into any multiaxis measuring system, and the geometric error is one of the main factors that seriously affects the measurement accuracy. The present work investigates the error distribution of the prototype of a 5-axis measuring machine based on sensitivity analysis of geometric errors. The measurement error modeling of the 5-axis measuring machine is first established via the homogeneous coordinate transformation, and the Sobol global sensitivity analysis method is then employed to quantify the influence of geometric errors on the measurement result with the sensitivity index. The result shows that most of the angular errors are the crucial geometric errors seriously affecting the measurement result. These errors are supposed to be fully considered in the accuracy design and manufacturing stages. The error levels of the crucial geometric errors were distributed and readjusted according to the sensitivity analysis result. Some practical approaches to distribute and improve the crucial geometric errors have been given in detail. The error distribution method is effective to equalize the influence of the crucial geometric errors on the measurement result as possible. The findings of this study provide significant meanings for the optimal design and accurate manufacturing of the 5-axis measuring machine, and the proposed method can be used to improve the measurement accuracy of the 5-axis measuring machine.
Highlights
Some practical approaches to distribute and improve the crucial geometric errors have been given in detail. e error distribution method is effective to equalize the influence of the crucial geometric errors on the measurement result as possible. e findings of this study provide significant meanings for the optimal design and accurate manufacturing of the 5-axis measuring machine, and the proposed method can be used to improve the measurement accuracy of the 5-axis measuring machine
Introduction e high machining accuracy of mechanical parts becomes increasingly essential in the fields of electronic communications, biomedicine, and aerospace [1,2,3]. e evaluation of machining accuracy requires the support of measurement technology, and the processing technology is supplementary to the measurement technology. e measurement technology is a comprehensive and interdisciplinary subject involving the optics, electronics, sensors, mechanical manufacturing, and computer technology; it provides evaluation and measurement methods for the processing technology. e rapid development of measurement technology is the driving force to increasingly promote the machining accuracy and vice versa
Geometric errors contribute serious influence to the measurement result of a measuring machine during the measuring process. erefore, it is crucial to reveal the relationship between geometric errors and the measurement result and to further investigate the influence of geometric errors on the measurement result. e relationship between geometric errors and the measurement result can be described by the measurement error modeling based on homogeneous coordinate transformation while the influence of geometric errors on the measurement result can be obtained using the sensitivity analysis method
Summary
Geometric errors are inevitably introduced into any multiaxis measuring system, and the geometric error is one of the main factors that seriously affects the measurement accuracy. e present work investigates the error distribution of the prototype of a 5-axis measuring machine based on sensitivity analysis of geometric errors. e measurement error modeling of the 5axis measuring machine is first established via the homogeneous coordinate transformation, and the Sobol global sensitivity analysis method is employed to quantify the influence of geometric errors on the measurement result with the sensitivity index. e result shows that most of the angular errors are the crucial geometric errors seriously affecting the measurement result. ese errors are supposed to be fully considered in the accuracy design and manufacturing stages. e error levels of the crucial geometric errors were distributed and readjusted according to the sensitivity analysis result. E measurement error modeling of the 5axis measuring machine is first established via the homogeneous coordinate transformation, and the Sobol global sensitivity analysis method is employed to quantify the influence of geometric errors on the measurement result with the sensitivity index.
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