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Motion Space of Contacting Smooth Curves in Plane Using Screw Derivative

Rama Krishna, K and Sen, D (2019) Motion Space of Contacting Smooth Curves in Plane Using Screw Derivative. [Book Chapter]

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Official URL: https://doi.org/10.1007/978-3-030-20131-9_67


In this paper, the proposed formulation of the single contact motion space analysis using screws and differential screws, shows that only the geometric kinematical properties affect the second-order motion space characteristics w.r.t. a contact. The classical Eulery-Savary equation derived through the present approach established its necessity and sufficiency for the second-order roll-slide motion. Geometrical interpretations of the motion space of curves in a point contact help in defining composition rules for analyzing the cases with multiple contacts. The theory is illustrated through two examples. © 2019, Springer Nature Switzerland AG.

Item Type: Book Chapter
Publication: Mechanisms and Machine Science
Publisher: Springer Science and Business Media B.V.
Additional Information: The copyright for this article belongs to Springer Science and Business Media B.V.
Keywords: Point contacts, Composition rule; Contact motion; Curvature theory; Form closure; Freedom analysis; Geometrical interpretation; Multiple contacts; Second order motion, Screws
Department/Centre: Division of Mechanical Sciences > Centre for Product Design & Manufacturing
Date Deposited: 13 Dec 2022 04:10
Last Modified: 13 Dec 2022 04:10
URI: https://eprints.iisc.ac.in/id/eprint/77940

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