Variation Propagation in Multistage Machining Processes Using Dual Quaternions

The application of rigid transformations matrices in variation propagation has a long tradition in manufacturing community. However, the matrix-based modeling of variation propagation in multistage machining processes is complicated. Moreover, there is a need to improve the computational efficiency...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2019-11, Vol.689 (1), p.12019
Main Authors: Yacob, F, Semere, D
Format: Article
Language:English
Subjects:
Machining
Mathematical analysis
Propagation
Quaternions
Transformations (mathematics)
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Summary:The application of rigid transformations matrices in variation propagation has a long tradition in manufacturing community. However, the matrix-based modeling of variation propagation in multistage machining processes is complicated. Moreover, there is a need to improve the computational efficiency of manipulation of geometrical models for variation analysis purposes. This paper introduces the representation of rigid transformation by dual quaternions, which have a computational advantage and mathematical elegance compared to matrices. In comparison to a commercial tool, the implementation of the purposed method predicted parallelism with an average error of 4.3 % in a hypothetical two stage machining process. The proposed approach has a potential to be an alternative to matrix based rigid transformation practices in variation and tolerance analysis.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/689/1/012019