Three-axes error modeling based on second order dual numbers
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Date
2015-11-17
Authors
Holub, Michal
Hrdina, Jaroslav
Vašík, Petr
Vetiška, Jan
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Springer-Verlag
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Abstract
The aim of the paper is to employ the dual numbers in the multi axes machine error modelling in order to apply the algebraic methods in computations. The calculus of higher order dual numbers allows us to calculate with the appropriate geometric parametrization effectively. We test the model on the phantom data based on the real machine tool. The results of our analysis are used for the geometric manufacturing accuracy description of the work space, together with the reduction of the measuring time.
The aim of the paper is to employ the dual numbers in the multi axes machine error modelling in order to apply the algebraic methods in computations. The calculus of higher order dual numbers allows us to calculate with the appropriate geometric parametrization effectively. We test the model on the phantom data based on the real machine tool. The results of our analysis are used for the geometric manufacturing accuracy description of the work space, together with the reduction of the measuring time.
The aim of the paper is to employ the dual numbers in the multi axes machine error modelling in order to apply the algebraic methods in computations. The calculus of higher order dual numbers allows us to calculate with the appropriate geometric parametrization effectively. We test the model on the phantom data based on the real machine tool. The results of our analysis are used for the geometric manufacturing accuracy description of the work space, together with the reduction of the measuring time.
Description
Citation
Journal of Mathematics in Industry. 2015, vol. 5, issue 2, p. 1-11.
http://www.mathematicsinindustry.com/content/5/1/2
http://www.mathematicsinindustry.com/content/5/1/2
Document type
Peer-reviewed
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Published version
Date of access to the full text
Language of document
en