Classification of higher mobility closed-loop linkages

DOI10.1007/s10231-022-01258-yOpenAlexW4291250409MaRDI QIDQ2687953

Josef Schicho, Zijia Li, Tiago Duarte Guerreiro

Publication date: 7 March 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04799

zbMATH Keywords

bond theorydual quaternionabsolute coneparadoxical linkage

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Surfaces and higher-dimensional varieties (14J99) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Computational aspects in algebraic geometry (14Q99) Curves in algebraic geometry (14H99)

Cites Work

• Unnamed Item
• The theory of bonds. II: Closed 6R linkages with maximal genus
• Geometric design of linkages.
• The Lie group of rigid body displacements, a fundamental tool for mechanism design.
• Classification of 5R closed kinematic chains with self mobility.
• Kempe's universality theorem for rational space curves
• Displacement-closure equations of the unspecialised double-Hooke's-joint linkage
• Overconstrained six-bars with parallel adjacent joint-axes
• An algebraic study of linkages with helical joints
• A survey on the theory of bonds
• Geometric Fundamentals of Robotics
• Algebraic Geometry and Kinematics

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