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Description
  • Multiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of general Weil algebras. We show that the classification of the geometric errors follows directly from the algebraic properties of the matrices over dual numbers and thus the calculus over the dual numbers is the proper tool for the methodology of multiaxis machines error modeling.
  • Multiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of general Weil algebras. We show that the classification of the geometric errors follows directly from the algebraic properties of the matrices over dual numbers and thus the calculus over the dual numbers is the proper tool for the methodology of multiaxis machines error modeling. (en)
Title
  • Dual Numbers Approach in Multiaxis Machines Error Modeling
  • Dual Numbers Approach in Multiaxis Machines Error Modeling (en)
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  • Dual Numbers Approach in Multiaxis Machines Error Modeling
  • Dual Numbers Approach in Multiaxis Machines Error Modeling (en)
skos:notation
  • RIV/00216305:26210/14:PU109205!RIV15-MSM-26210___
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  • P(LO1202)
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  • 1
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  • 12469
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  • RIV/00216305:26210/14:PU109205
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  • Dual Numbers, Machines Error Modeling, Weil algebras, Kinematics (en)
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  • US - Spojené státy americké
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  • [0E9A3176765A]
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  • Journal of Applied Mathematics
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  • 2014
http://linked.open...iv/tvurceVysledku
  • Hrdina, Jaroslav
  • Vašík, Petr
issn
  • 1110-757X
number of pages
http://bibframe.org/vocab/doi
  • 10.1155/2014/261759
http://localhost/t...ganizacniJednotka
  • 26210
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