Dual numbers arithmentic in multiaxis machine error modeling

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F17%3APU122571" target="_blank" >RIV/00216305:26210/17:PU122571 - isvavai.cz</a>
Result on the web
<a href="http://www.mmscience.eu/content/file/archives/MM_Science_2016210.pdf" target="_blank" >http://www.mmscience.eu/content/file/archives/MM_Science_2016210.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.17973/MMSJ.2017_02_2016210" target="_blank" >10.17973/MMSJ.2017_02_2016210</a>

Result language
angličtina
Original language name
Dual numbers arithmentic in multiaxis machine error modeling
Original language description
When a kinematic chain of a multiaxis machine centre is assembled by means of homogeneous matrices, it is possible to include the error representing matrices within and neglect the error terms which do not affect the prescribed accuracy. Classically, such error terms are identified and neglected according to the system of given identities after the matrix multiplication. In our approach, the matrices itself are designed to form a ring that respects the desired arithmetic of error terms, particularly the ring of matrices over the dual numbers. On the other hand, to make this algebraically possible, several negligible terms remain.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/LO1202" target="_blank" >LO1202: NETME CENTRE PLUS</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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