Second-order total freedom analysis of 3D objects in a single point contact

Krishna, Rama K and Sen, Dibakar (2019) Second-order total freedom analysis of 3D objects in a single point contact. In: MECHANISM AND MACHINE THEORY, 140 . pp. 10-30.

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Abstract

This paper studies the instantaneous second-order total freedom of two smooth objects initially in contact at a single point. The analytical determination of the set of physically allowed second-order motions is formulated in the Euclidean space using the screw theoretic concepts of twist and twist-derivative. Mathematical expression that characterizes the nature of second-order motion for an arbitrary contact geometry is derived in terms of twist coordinates, twist-derivative coordinates and the principle normal curvatures of the two surfaces at the point of contact. It is shown that the characteristic of this expression is equivalent to that of the derivative of reciprocal product of the instantaneous twist and contact normal line. The efficacy of the theory developed is demonstrated through two illustrative examples.

Item Type:	Journal Article
Publication:	MECHANISM AND MACHINE THEORY
Publisher:	PERGAMON-ELSEVIER SCIENCE LTD
Additional Information:	copyright for this article belongs to PERGAMON-ELSEVIER SCIENCE LTD
Keywords:	Motion space analysis; Unilateral contact; Screw theory; Surfaces in contact; Contact kinematics
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	11 Sep 2019 07:33
Last Modified:	11 Sep 2019 07:33
URI:	http://eprints.iisc.ac.in/id/eprint/63476

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