Kinematical analysis of overconstrained and underconstrained mechanisms by means of computational algebraic geometry

DOI10.1007/s11012-013-9833-5zbMath1300.70003OpenAlexW1965963617MaRDI QIDQ2510290

Jukka Tuomela, Samuli Piipponen, Teijo Arponen, Andreas Müller

Publication date: 1 August 2014

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-013-9833-5

zbMATH Keywords

kinematotropic mechanisms

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Algebraic geometry methods for problems in mechanics (70G55)

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Uses Software

• SINGULAR

Cites Work

• Second-order mobility analysis of mechanisms using closure equations
• Types of self-motions of planar Stewart Gough platforms
• Mechanism mobility and a local dimension test
• Kinematic analysis of Bricard's mechanism
• Structural synthesis of serial platform manipulators
• Forward displacement analysis of the general 6-6 Stewart mechanism using Gröbner bases
• Singularity analysis of planar linkages
• An invitation to algebraic geometry
• Single-loop kinematotropic mechanisms
• Spatial properties of wohlhart symmetric mechanism
• Computing in algebraic geometry. A quick start using SINGULAR
• Analysing singularities of a benchmark problem
• Mobility of mechanisms: a critical review
• Using Algebraic Geometry
• SINGULAR
• Algebraic Geometry and Kinematics
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
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