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arXiv · 1501.07365

7R Darboux Linkages by Factorization of Motion Polynomials

Zijia Li·Josef Schicho·Hans-Peter Schröcker
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Abstract

In this paper, we construct two types of 7R closed single loop linkages by combining different factorizations of a general (non-vertical) Darboux motion. These factorizations are obtained by extensions of a factorization algorithm for a generic rational motion. The first type of 7R linkages has several one-dimensional configuration components and one of them corresponds to the Darboux motion. The other type is a 7R linkage with two degrees of freedom and without one-dimensional component. The Darboux motion is a curve in an irreducible two dimensional configuration component.

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Zijia Li, Josef Schicho, Hans-Peter Schröcker. 2015-06-29. 7R Darboux Linkages by Factorization of Motion Polynomials. https://arxiv.org/abs/1501.07365

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