The design and manufacture of a gear-coupled serial chain to trace the butterfly curve

Yang Liu, Peter Lee Shien Wang, J. Michael McCarthy

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents a design and manufacturing methodology for a mechanical system that draws trigonometric curves assembled from a series of links connected by gears. We demonstrate this technique using 11 gear-coupled links that trace a butterfly curve. The equation of a butterfly curve is converted to the relative rotations of the links of a coupled serial chain assembled so it operates with one input. We present a procedure to determine the adjustments to the gear ratios and link dimensions necessary for practical manufacture of the mechanism. The results are demonstrated by a working prototype.

Original languageEnglish
Title of host publication41st Mechanisms and Robotics Conference
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791858172
DOIs
StatePublished - 2017
Externally publishedYes
EventASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017 - Cleveland, United States
Duration: Aug 6 2017Aug 9 2017

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume5A-2017

Conference

ConferenceASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017
Country/TerritoryUnited States
CityCleveland
Period08/6/1708/9/17

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