Bundle folding type III Bricard linkages

Shengnan Lyu; Dimiter Zlatanov; Matteo Zoppi; Xilun Ding; Gregory S. Chirikjian; Simon D. Guest

doi:10.1016/j.mechmachtheory.2019.103663

Bundle folding type III Bricard linkages

Shengnan Lyu^*
, Dimiter Zlatanov
, Matteo Zoppi
, Xilun Ding
, Gregory S. Chirikjian
, Simon D. Guest

^*Corresponding author for this work

School of Mechanical Engineering and Automation

University of Genoa
Johns Hopkins University
University of Cambridge

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

The paper presents a set of one-degree-of-freedom overconstrained linkages, which can be folded into a bundle and deployed into a polygon on a plane. The proposed mechanisms are movable Bricard octahedra of type III, characterized by the existence of two configurations where all joints are coplanar. The possible geometries of doubly-collapsible Bricard linkages are parameterized and their kinematics is analyzed. A line-intersection method is proposed to construct a bundle-folding mechanism of this type. Necessary and sufficient conditions are derived for the deployed-configuration polygon to be a square. Simulation and prototype experiment results validate the analysis and design.

Original language	English
Article number	103663
Journal	Mechanism and Machine Theory
Volume	144
DOIs	https://doi.org/10.1016/j.mechmachtheory.2019.103663
State	Published - Feb 2020

Keywords

Bundle folding
Deployable mechanism
Overconstrained linkages
Type III Bricard linkage

Access to Document

10.1016/j.mechmachtheory.2019.103663

Cite this

@article{588386aa07e5458080413b307b230619,

title = "Bundle folding type III Bricard linkages",

abstract = "The paper presents a set of one-degree-of-freedom overconstrained linkages, which can be folded into a bundle and deployed into a polygon on a plane. The proposed mechanisms are movable Bricard octahedra of type III, characterized by the existence of two configurations where all joints are coplanar. The possible geometries of doubly-collapsible Bricard linkages are parameterized and their kinematics is analyzed. A line-intersection method is proposed to construct a bundle-folding mechanism of this type. Necessary and sufficient conditions are derived for the deployed-configuration polygon to be a square. Simulation and prototype experiment results validate the analysis and design.",

keywords = "Bundle folding, Deployable mechanism, Overconstrained linkages, Type III Bricard linkage",

author = "Shengnan Lyu and Dimiter Zlatanov and Matteo Zoppi and Xilun Ding and Chirikjian, \{Gregory S.\} and Guest, \{Simon D.\}",

note = "Publisher Copyright: {\textcopyright} 2019",

year = "2020",

month = feb,

doi = "10.1016/j.mechmachtheory.2019.103663",

language = "英语",

volume = "144",

journal = "Mechanism and Machine Theory",

issn = "0094-114X",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Bundle folding type III Bricard linkages

AU - Lyu, Shengnan

AU - Zlatanov, Dimiter

AU - Zoppi, Matteo

AU - Ding, Xilun

AU - Chirikjian, Gregory S.

AU - Guest, Simon D.

PY - 2020/2

Y1 - 2020/2

N2 - The paper presents a set of one-degree-of-freedom overconstrained linkages, which can be folded into a bundle and deployed into a polygon on a plane. The proposed mechanisms are movable Bricard octahedra of type III, characterized by the existence of two configurations where all joints are coplanar. The possible geometries of doubly-collapsible Bricard linkages are parameterized and their kinematics is analyzed. A line-intersection method is proposed to construct a bundle-folding mechanism of this type. Necessary and sufficient conditions are derived for the deployed-configuration polygon to be a square. Simulation and prototype experiment results validate the analysis and design.

AB - The paper presents a set of one-degree-of-freedom overconstrained linkages, which can be folded into a bundle and deployed into a polygon on a plane. The proposed mechanisms are movable Bricard octahedra of type III, characterized by the existence of two configurations where all joints are coplanar. The possible geometries of doubly-collapsible Bricard linkages are parameterized and their kinematics is analyzed. A line-intersection method is proposed to construct a bundle-folding mechanism of this type. Necessary and sufficient conditions are derived for the deployed-configuration polygon to be a square. Simulation and prototype experiment results validate the analysis and design.

KW - Bundle folding

KW - Deployable mechanism

KW - Overconstrained linkages

KW - Type III Bricard linkage

UR - https://www.scopus.com/pages/publications/85073503088

U2 - 10.1016/j.mechmachtheory.2019.103663

DO - 10.1016/j.mechmachtheory.2019.103663

M3 - 文章

AN - SCOPUS:85073503088

SN - 0094-114X

VL - 144

JO - Mechanism and Machine Theory

JF - Mechanism and Machine Theory

M1 - 103663

ER -

Bundle folding type III Bricard linkages

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this