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Self-motions of Stewart-Gough platforms

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F08%3A00100725" target="_blank" >RIV/00216208:11320/08:00100725 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Self-motions of Stewart-Gough platforms

  • Original language description

    We describe a large class of self-motions of Stewart-Gough type parallel manipulators. The spherical image of those motions is a planar curve of degree six in Euler parameters. All points of a cubic in the plane of the platform have spherical trajectories. As the equation of the motion is rather general and complex, it is in general not possible to parametrize it. To visualize trajectories of a space motion, we need parametric expressions of all trajectories. As this is not possible, it would be naturalto use approximate parametrization and other methods of computer geometry.

  • Czech name

    Vlastní pohyby Stewart-Goughových platform

  • Czech description

    Je popsána velká třída paralelních manipulátorů Stewart-Goughova typu, které mají vlastní pohyby. Sférický obraz takového pohybu je rovinná křivka, kterou nelze obecně parametrizovat. To znamená, že nelze znázornit trajektorie tohoto pohybu. Užití přibližné parametrizace a dalších metod počítačové geometrie vyřeší tento problém.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Computer Aided Geometric Design

  • ISSN

    0167-8396

  • e-ISSN

  • Volume of the periodical

    25

  • Issue of the periodical within the volume

    9

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    9

  • Pages from-to

  • UT code for WoS article

    000261246200009

  • EID of the result in the Scopus database