• DocumentCode
    2114635
  • Title

    New research of forward displacement analysis of 6-link Assur group

  • Author

    Ni, Zhensong ; Liao, Qizheng ; Wei, Shimin

  • Author_Institution
    Tianjin city Key Laboratory of Modern Mechatronics Equipment Technology, Tianjin Polytechnic University, China
  • fYear
    2010
  • fDate
    4-6 Dec. 2010
  • Firstpage
    5187
  • Lastpage
    5190
  • Abstract
    Conformal geometric algebra (CGA) Method is applied in displacement analysis of planar basic kinematic chain to complete forward displacement analysis of a kind of 6-link and 9-pair Assur group. Three geometry constrain equations are obtained by using Conformal geometric algebra (CGA). Second two variables were eliminated through the elimination of linear and Dixon (Dixon) resultant Finally, a 18th degree equation contained a variable was properly derived from the resultant, A numeric example is given and 18 groups of solutions are verified explicitly without extraneous roots and miss roots.
  • Keywords
    Algebra; Cities and towns; Geometry; Laboratories; Nickel; Polynomials; Conformal geometric algebra (CGA) Method; Forward Displacement Analysis; Six-link and Nine-pair Assur Group;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Science and Engineering (ICISE), 2010 2nd International Conference on
  • Conference_Location
    Hangzhou, China
  • Print_ISBN
    978-1-4244-7616-9
  • Type

    conf

  • DOI
    10.1109/ICISE.2010.5689903
  • Filename
    5689903