An overconstrained eight-bar linkage and its associated fulleroid-like deployable platonic mechanisms

Wei, G; Dai, JS

Abstract

This paper for the first time presents an overconstrained spatial eight-bar linkage and its application to the synthesis of a group of Fulleroid-like deployable Platonic mechanisms. Structure of the proposed eight-bar linkage is introduced, and constrain and mobility of the linkage are revealed based on screw theory. Then by integrating the proposed eight-bar linkage into Platonic polyhedron bases, synthesis of a group of Fulleroid-like deployable Platonic mechanism is carried out and illustrated by the synthesis and construction of a Fulleroid-like deployable tetrahedral mechanism. Further, mobility of the Fulleroid-like deployable Platonic mechanisms is formulated via constraint matrices by following Kirchhoff’s circulation law for mechanical networks and kinematics of the mechanisms is presented with numerical simulations illustrating the intrinsic kinematic properties of the group of Fulleroid-like deployable Platonic mechanisms. Ultimately, a prototype of the Fulleroid-like deployable hexahedral mechanism is fabricated and tested verifying mobility and kinematic characteristics of the proposed deployable polyhedral mechanisms. This paper thus presents a novel overconstrained spatial eight-bar linkage and a new geometrically intuitive method for synthesizing Fulleroid-like regular deployable polyhedral mechanisms.

Citation

Wei, G., & Dai, J. An overconstrained eight-bar linkage and its associated fulleroid-like deployable platonic mechanisms. Presented at 2014 Conference proceedings of Design Engineering Technical Conferences & Computers and Information in Engineering Conference, 38th Mechanisms and Robotics Conference Buffalo, New York, USA

• Presentation Conference Type: Other
• Conference Name: 2014 Conference proceedings of Design Engineering Technical Conferences & Computers and Information in Engineering Conference
• Conference Location: 38th Mechanisms and Robotics Conference Buffalo, New York, USA
• Online Publication Date: Jan 13, 2015
• Publication Date: Aug 20, 2014
• Deposit Date: May 29, 2015
• Publisher: American Society of Mechanical Engineers
• Book Title: ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
• ISBN: 9780791846377
• Publisher URL: http://dx.doi.org/10.1115/DETC2014-34499
• Additional Information: Event Type : Conference; Funders : EU 7th Framework Programme;National Natural Science Foundation of China;Tianjin Technology Scheme; Grant Number: 270436; Grant Number: 51175366; Grant Number: 12JCZDJC27700