Journal ArticleDOI
Branch Reconfiguration of Bricard Linkages Based on Toroids Intersections: Line-Symmetric Case
TLDR
In this article, the authors investigated a line-symmetric Bricard mechanism by means of two generated toroids and revealed their intersection that leads to a set of special Bricards with various branches of reconfiguration.Abstract:
This paper for the first time investigates a family of line-symmetric Bricard mechanisms by means of two generated toroids and reveals their intersection that leads to a set of special Bricard mechanisms with various branches of reconfiguration. The discovery is made in the concentric toroid-toroid intersection. By manipulating the construction parameters of the toroids any possible bifurcation point is explored. This leads to the common bi-tangent planes that present singularities in the intersection set. The study reveals the presence of Villarceau and secondary circles in the toroids intersection. Therefore, a way to reconfigure the Bricard linkage to two different types of Bennett mechanism is uncovered. Further a linkage with two Bricard and two Bennett motion branches is explored. In addition, the paper reveals the Altmann linkage as a member of the family of special line-symmetric Bricard linkages studied in this paper.read more
Citations
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Reconfiguration Principles and Strategies for Reconfigurable Mechanisms
TL;DR: In this paper, the authors provide a test stone for the relative studies, especially for those in the filed of mechanism and machine science, on reconfigurable mechanisms, and give the theoretical principles and practical strategies for changing the topology and/or configuration of mechanisms.
Journal ArticleDOI
Developable Mechanisms on Developable Surfaces
TL;DR: This work introduces “developable mechanisms” as devices that emerge from or conform to developable surfaces and shows promise for meeting unfilled needs using systems not previously envisioned.
Journal ArticleDOI
Design and analysis of a multi-mode mobile robot based on a parallel mechanism with branch variation
Yezhuo Li,Yan-an Yao,He Yanying +2 more
TL;DR: A novel robot is presented based on the branch variation with topological reconfiguration of a mobile parallel mechanism so that it can execute different locomotion modes, which can be reconfigured to be different equivalent mobile robots in topological structure.
Journal ArticleDOI
A novel 6R metamorphic mechanism with eight motion branches and multiple furcation points
Yaqing Song,Xuesi Ma,Jian S. Dai +2 more
TL;DR: In this paper, a novel 6R metamorphic mechanism by inserting two revolute joints to a Bennett mechanism is presented, which is a special case of the Bricard 6R line-symmetric mechanism while the closure equation gives constraint conditions of joints.
Journal ArticleDOI
Branch Reconfiguration of Bricard Linkages Based on Toroids Intersections: Plane-Symmetric Case
TL;DR: In this article, a set of special plane-symmetric Bricard linkages with various branches of reconfiguration by means of intersection of two generating toroids is revealed.
References
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BookDOI
Ideals, Varieties, and Algorithms
TL;DR: In the Groebner package, the most commonly used commands are NormalForm, for doing the division algorithm, and Basis, for computing a Groebners basis as mentioned in this paper. But these commands require a large number of variables.
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Journal ArticleDOI
Mobility in Metamorphic Mechanisms of Foldable/Erectable Kinds
Jian S. Dai,J. Rees Jones +1 more
TL;DR: In this paper, the authors describe a class of mechanisms that change structure when erected or folded, including a variety of artefacts and decorative gifts and boxes comprised of flat card creases to enable the folding or unfolding of a structure.
Journal ArticleDOI
Mobility of Overconstrained Parallel Mechanisms
TL;DR: In this paper, the Kutzbach-Grubler mobility criterion is used to calculate the degrees of freedom of a general mechanism, but the criterion can break down for mechanisms with special geometries, and in particular, the class of overconstrained parallel mechanisms.
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