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arXiv · 1202.0139

Factorization of Rational Curves in the Study Quadric and Revolute Linkages

Gábor Hegedüs·Josef Schicho·Hans-Peter Schröcker
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Abstract

Given a generic rational curve $C$ in the group of Euclidean displacements we construct a linkage such that the constrained motion of one of the links is exactly $C$. Our construction is based on the factorization of polynomials over dual quaternions. Low degree examples include the Bennett mechanisms and contain new types of overconstrained 6R-chains as sub-mechanisms.

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Gábor Hegedüs, Josef Schicho, Hans-Peter Schröcker. 2012-02-01. Factorization of Rational Curves in the Study Quadric and Revolute Linkages. https://doi.org/10.1016/j.mechmachtheory.2013.05.010

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