2020
DOI: 10.1007/s00170-020-06263-0
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Variation propagation modelling in multistage machining processes using dual quaternions

Abstract: Variation propagation models play an important role in part quality prediction, variation source identification, and variation compensation in multistage manufacturing processes. These models often use homogenous transformation matrix, differential motion vector, and/or Jacobian matrix to represent and transform the part, tool and fixture coordinate systems and associated variations. However, the models end up with large matrices as the number features and functional element pairs increase. This work proposes … Show more

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Cited by 3 publications
(2 citation statements)
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“…Therefore, the w/w % distributions for most of the chemicals were skewed to one side. Yacob [ 18 ] explained in his thesis that production engineering aims to reduce the variations in the components in the manufacturing process to reach higher efficiencies. Similarly, UMTR Co., Ltd. narrowed down the chemical composition ranges to optimize their processes, which may have contributed to the skewness observed in some distributions.…”
Section: Resultsmentioning
confidence: 99%
“…Therefore, the w/w % distributions for most of the chemicals were skewed to one side. Yacob [ 18 ] explained in his thesis that production engineering aims to reduce the variations in the components in the manufacturing process to reach higher efficiencies. Similarly, UMTR Co., Ltd. narrowed down the chemical composition ranges to optimize their processes, which may have contributed to the skewness observed in some distributions.…”
Section: Resultsmentioning
confidence: 99%
“…The above equations are used to transform an object represented by a set of planes and/or set of points. More detailed derivations of dual quaternions operations can be found in [44][45][46].…”
Section: Dual Quaternionsmentioning
confidence: 99%