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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Abstract

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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