TGA-based solutions map method for four-position synthesis of planar 4R linkage

In this study, the authors propose a solutions map based on a telomere genetic algorithm (TGA) to improve the efficiency of 4R-linkage synthesis. First, the points on the center curve are obtained by using projective geometry, and those of the circle curve are obtained by vector elimination. Second,...

Full description

Saved in:
Bibliographic Details
Published in:Mechanical sciences (Göttingen) 2022-09, Vol.13 (2), p.771-790
Main Authors: Zhao, Yehui, Xue, Lijun, Wang, Guangming, Zou, Fanglei, Song, Yue, Zhang, Hongjian
Format: Article
Language:English
Subjects:
Circles (geometry)
Domains
Efficiency
Genetic algorithms
Histograms
Identification methods
Kinematics
Methods
Optimization algorithms
Projective geometry
Software
Synthesis
Telomeres
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this study, the authors propose a solutions map based on a telomere genetic algorithm (TGA) to improve the efficiency of 4R-linkage synthesis. First, the points on the center curve are obtained by using projective geometry, and those of the circle curve are obtained by vector elimination. Second, the definition of the linkage type, assessment of linkage performance, and a method to identify defects in the linkage are introduced. Third, the solutions map method is proposed that can map the linkage solutions obtained by all combinations of the points on the center curve to a 3D color-coded surface to represent the distribution of solutions with different attributes of linkages in the solution domain. Fourth, we use the proposed telomere operator and pseudo-histogram method to improve the traditional genetic algorithm, and expand the domain of solutions of the solutions map by using the TGA. Finally, the linkage synthesis software BurLink is developed based on the solutions map method. The results show that the TGA-based solutions map can quickly locate the required 4R-linkage solution in the solution domain, and provides engineers with more candidate solutions than traditional methods.
ISSN:2191-916X
2191-9151
2191-916X
DOI:10.5194/ms-13-771-2022