Open AccessVariation Propagation in Multistage Machining Processes Using Dual Quaternions
Author(s) -
Filmon Yacob,
Daniel Semere
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/689/1/012019
Subject(s) - quaternion , machining , variation (astronomy) , transformation (genetics) , transformation matrix , matrix (chemical analysis) , propagation of uncertainty , representation (politics) , matrix representation , computer science , dual (grammatical number) , algorithm , process (computing) , mathematical optimization , mathematics , mechanical engineering , geometry , engineering , composite material , operating system , biochemistry , kinematics , classical mechanics , literature , political science , physics , organic chemistry , politics , astrophysics , group (periodic table) , gene , art , materials science , law , chemistry
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.