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Dual Numbers Approach in Multiaxis Machines Error Modeling

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  • Jaroslav Hrdina
  • Petr Vašík

Abstract

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.

Suggested Citation

  • Jaroslav Hrdina & Petr Vašík, 2014. "Dual Numbers Approach in Multiaxis Machines Error Modeling," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, June.
    • Handle: RePEc:hin:jnljam:261759
    DOI: 10.1155/2014/261759
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