Forward displacement analysis of the general 6-6 Stewart mechanism using Gröbner bases

DOI10.1016/j.mechmachtheory.2009.01.008zbMath1178.70025OpenAlexW1985525293MaRDI QIDQ1032261

J. Blot

Publication date: 26 October 2009

Published in: Mechanism and Machine Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechmachtheory.2009.01.008

zbMATH Keywords

Gröbner basisforward displacement analysisgeneral 6-6 Stewart mechanism

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (4)

Neural network solution for forward kinematics problem of cable robots ⋮ A statistical approach to the forward kinematics nonlinearity analysis of Gough-Stewart mechanism ⋮ Forward kinematic problem of 5-R\(\underline {\text P}\)UR parallel mechanisms (3T2R) with identical limb structures ⋮ Kinematical analysis of overconstrained and underconstrained mechanisms by means of computational algebraic geometry

Cites Work

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• A new kinematic model for the closure equations of the generalized Stewart platform mechanism
• The Stewart platform manipulator: a review
• Closed-form displacement and coupler curve analysis of planar multi-loop mechanisms using Gröbner bases
• Forward kinematics of the general 6-6 Stewart platform using algebraic elimination
• Improved dialytic elimination algorithm for the forward kinematics of the general Stewart--Gough platform.

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