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
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;
Conference_Titel :
Information Science and Engineering (ICISE), 2010 2nd International Conference on
Conference_Location :
Hangzhou, China
Print_ISBN :
978-1-4244-7616-9
DOI :
10.1109/ICISE.2010.5689903