A note on enveloping curves in plane

Ramakrishna, K and Sen, Dibakar (2016) A note on enveloping curves in plane. In: MECHANISM AND MACHINE THEORY, 105 . pp. 510-514.

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Abstract

This paper revisits the classical envelope theory in plane, which deals with two planar curves in a point contact moving in relative roll-slide motion. The well known result about the centers of curvature of the generating curve and the envelope curve behaving as coordinated centers, is shown to be valid even if the instantaneous relative angular velocity is zero. The analytical approach uses the contact kinematics equations and does not require the existence of finitely accessible velocity pole and polodes of the relative motion. An example of equivalent mechanisms demonstrates the extended applicability of the theorem on coordinated centers of enveloping curves. (C) 2016 Elsevier Ltd. All rights reserved.

Item Type:	Journal Article
Publication:	MECHANISM AND MACHINE THEORY
Additional Information:	Copy right for this article belongs to the PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	28 Oct 2016 07:05
Last Modified:	28 Oct 2016 07:05
URI:	http://eprints.iisc.ac.in/id/eprint/55133

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