Title
Semi-numerical solution to 6/6-Stewart-platform kinematics based on symmetry.
Abstract
The direct and inverse kinematics of the 6/6-Stewart-platform architecture drawn opposite is considered. A fast and self-contained numerical algorithm is designed to compute the kinematic transformations. The design exploits the geometric symmetry of the construction by reducing the involved polynomial equations in a systematic fashion. The two special cases of constant orientation and of constant position are solved in closed form.
Year
DOI
Venue
1996
10.1007/s002000050046
Appl. Algebra Eng. Commun. Comput.
Keywords
Field
DocType
Stewart-platform,Robot kinematics,Closed-loop architectures,Parallel-manipulators,Polynomial equations with symmetry,Newton's method,Fast evaluation of polynomials,Quaternions
Discrete mathematics,Kinematics,Kinematics equations,Polynomial,Inverse kinematics,Mathematical analysis,321 kinematic structure,Quaternion,Robot kinematics,Stewart platform,Geometry,Mathematics
Journal
Volume
Issue
ISSN
7
6
0938-1279
Citations 
PageRank 
References 
2
0.51
5
Authors
1
Name
Order
Citations
PageRank
Sebastian Egner1158132.06