Distance-based position analysis of the three seven-link Assur kinematic chains

DOI10.1016/j.mechmachtheory.2010.10.004zbMath1335.70016OpenAlexW2108450134MaRDI QIDQ551524

Nicolás Rojas, Federico Thomas

Publication date: 21 July 2011

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

Full work available at URL: http://hdl.handle.net/2117/15964

zbMATH Keywords

Assur kinematic chainsbilaterationCayley-Menger determinantsdistance-based formulationsposition analysis

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15)

Related Items (1)

Geometric algebra to describe the exact discretizable molecular distance geometry problem for an arbitrary dimension

Uses Software

• PHCpack
• ALIAS
• Bertini

Cites Work

• Closed-form displacement analysis for a nine-link Barranov truss or a eight-link assur group
• Closed-form displacement and coupler curve analysis of planar multi-loop mechanisms using Gröbner bases
• A method for position analysis of a kind of nine-link Barranov truss
• Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets
• Algorithm 795
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

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