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Branch reconfiguration with bricard variations based on toroids intersections: Line-symmetric case

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Original languageEnglish
Title of host publication41st Mechanisms and Robotics Conference
PublisherAmerican Society of Mechanical Engineers(ASME)
Volume5B-2017
ISBN (Electronic)9780791858189
DOIs
Publication statusPublished - 2017
EventASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017 - Cleveland, United States
Duration: 6 Aug 20179 Aug 2017

Conference

ConferenceASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017
CountryUnited States
CityCleveland
Period6/08/20179/08/2017

King's Authors

Abstract

This paper for the first time investigates a disintegrated Bricard mechanism in two toroids and reveals their intersection that leads to a set of Bricard variations with various branches of reconfiguration. The discovery is made in the concentric toroidtoroid intersection. By manipulating the construction parameters of the toroids any possible bifurcation point is explored. This casts light on the reconfiguration of these linkages and leads to the common bi-tangent planes that present singularities in the intersection set. The study reveals the presence of Villarceau and secondary circles in the toroids intersection. Therefore, a way to reconfigure the Bricard linkage to two different types of Bennett mechanism is uncovered. Further a linkage with two Bricard and two Bennett motion branches is explored. In addition, the paper reveals the Altmann linkage as a member of this Bricard variation family.

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