Transitory second-order reciprocal connection for two surfaces in point contact

Ramakrishna, K and Sen, Dibakar (2015) Transitory second-order reciprocal connection for two surfaces in point contact. In: MECHANISM AND MACHINE THEORY, 86 . pp. 73-87.

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Abstract

This paper investigates the instantaneous spatial higher pair to lower pair substitute-connection which is kinematically equivalent up to acceleration analysis for two smooth surfaces in point contact. The existing first-order equivalent substitute-connection consisting of a Hooke's joint (U-joint) and a spherical joint (S-joint) connected by an additional link is extended up to second-order. A two step procedure is chalked out for achieving this equivalence. First, the existing method is employed for velocity equivalence. In the second step, the two centers of substitution are obtained as a conjugate relationship involving the principal normal curvatures of the surfaces at the contact point and the screw coordinates of the instantaneous screw axis (ISA) of the first-order relative motion. Unlike the classical planar replacement, this particular substitution cannot be done by merely examining the profiles of the contacting surfaces. An illustrative example of a three-link direct-contact mechanism is presented. (C) 2014 Elsevier Ltd. All rights reserved.

Item Type:	Journal Article
Publication:	MECHANISM AND MACHINE THEORY
Publisher:	PERGAMON-ELSEVIER SCIENCE LTD
Additional Information:	Copy right for this article belongs to PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Keywords:	Higher pair; Reciprocal connection; Substitute-connection; Equivalent mechanism; Acceleration analysis; Contact kinematics
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	01 Apr 2015 12:08
Last Modified:	01 Apr 2015 12:08
URI:	http://eprints.iisc.ac.in/id/eprint/51125

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