Sylvester's dialytic elimination in analysis of a metamorphic mechanism derived from ladybird wings

Chen, Zhuo1; Chen, Qiuhao1; Jia, Guanglu1; Dai, Jian S.1,2

2023

10.1016/j.mechmachtheory.2022.105102

MECHANISM AND MACHINE THEORY   影响因子和分区

0094-114X

1873-3999

This paper investigates the metamorphic mechanism derived from the hindwing in ladybird beetles, which creates its mathematical models and analyzes kinematics based on screw theory using mathematical software. The hindwing in ladybird beetles is an origami-like structure. Considering the concept of equivalent mechanisms, any origami pattern can be seen as being composed of several spherical multi-bar linkages connecting to each other. Hence, this paper proposes an algebra method to reveal the relations between different joint angles in the spherical multi-bar linkage, using the loop equations and Sylvester's dialytic elimination method. The results can be used to find the location and the motion trajectory of any desired point in this ladybird wing metamorphic mechanism. The way of analysis of the spherical multi-bar mechanism used in this paper can be widely applied in design and practical applications.

Ladybird beetles Origami Screw theory Metamorphic mechanism Sylvester?s dialytic elimination

SCI ; EI

英语

通讯

[ZDSYS20200811143601004]

Engineering

Engineering, Mechanical

WOS:000877462600001

PERGAMON-ELSEVIER SCIENCE LTD

20224313004664

Screws

Small Tools and Hardware:605

ENGINEERING

Web of Science

1.Kings Coll London, Ctr Robot Res, London WC2R 2LS, England
2.Southern Univ Sci & Technol, Shenzhen Key Lab Intelligent Robot & Flexible Mfg, Shenzhen 518055, Peoples R China

Chen, Zhuo,Chen, Qiuhao,Jia, Guanglu,et al. Sylvester's dialytic elimination in analysis of a metamorphic mechanism derived from ladybird wings[J]. MECHANISM AND MACHINE THEORY,2023,179.

Chen, Zhuo,Chen, Qiuhao,Jia, Guanglu,&Dai, Jian S..(2023).Sylvester's dialytic elimination in analysis of a metamorphic mechanism derived from ladybird wings.MECHANISM AND MACHINE THEORY,179.

Chen, Zhuo,et al."Sylvester's dialytic elimination in analysis of a metamorphic mechanism derived from ladybird wings".MECHANISM AND MACHINE THEORY 179(2023).