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- W4306632698 abstract "A linkage mechanism consists of rigid bodies assembled by joints which can be used to translate and transfer motion from one form in one place to another. In this paper, we are particularly interested in a family of spacial linkage mechanisms which consist of $n$-copies of a rigid body joined together by hinges to form a ring. Each hinge joint has its own axis of revolution and rigid bodies joined to it can be freely rotated around the axis. The family includes the famous threefold symmetric Bricard6R linkage also known as the Kaleidocycle, which exhibits a characteristic turning over motion. We can model such a linkage as a discrete closed curve in $mathbb{R}^3$ with a constant torsion up to sign. Then, its motion is described as the deformation of the curve preserving torsion and arc length. We describe certain motions of this object that are governed by the semi-discrete mKdV equations, where infinitesimally the motion of each vertex is confined in the osculating plane." @default.
- W4306632698 created "2022-10-18" @default.
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- W4306632698 date "2019-03-15" @default.
- W4306632698 modified "2023-09-29" @default.
- W4306632698 title "Linkage Mechanisms Governed by Integrable Deformations of Discrete Space Curves" @default.
- W4306632698 doi "https://doi.org/10.48550/arxiv.1903.06360" @default.
- W4306632698 hasPublicationYear "2019" @default.
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