Ameliorated Chameleon Algorithm-Based Shape Optimization of Disk Wang–Ball Curves
The shape design and optimization of complex disk curves is a crucial and intractable technique in computer-aided design and manufacturing (CAD/CAM). Based on disk Wang–Ball (DWB) curves, this paper defines a novel combined disk Wang–Ball (CDWB) curve with constrained parameters and investigates the...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-12-01
|
| Series: | Biomimetics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2313-7673/10/1/3 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832588979133743104 |
|---|---|
| author | Yan Liang Rui Yang Xianzhi Hu Gang Hu |
| author_facet | Yan Liang Rui Yang Xianzhi Hu Gang Hu |
| author_sort | Yan Liang |
| collection | DOAJ |
| description | The shape design and optimization of complex disk curves is a crucial and intractable technique in computer-aided design and manufacturing (CAD/CAM). Based on disk Wang–Ball (DWB) curves, this paper defines a novel combined disk Wang–Ball (CDWB) curve with constrained parameters and investigates the shape optimization of CDWB curves by using the multi-strategy ameliorated chameleon swarm algorithm (MCSA). Firstly, in order to meet the various shape design requirements, the CDWB curves consisting of <i>n</i> DWB curves are defined, and the G<sup>1</sup> and G<sup>2</sup> geometric continuity conditions for the curves are derived. Secondly, the shape optimization of CDWB curves is considered as a minimization problem with curve energy as the objective, and an optimization model is developed under the constraints of the splicing conditions. Finally, the meta-heuristic algorithm MCSA is introduced to solve the established optimization model to obtain the minimum energy value, and its performance is verified by comparison with other algorithms. The results of representative numerical examples confirm the effectiveness and competitiveness of the MCSA for the CDWB curve shape optimization problems. |
| format | Article |
| id | doaj-art-6e5582d64fb74d21970ffeee5f7304a9 |
| institution | Kabale University |
| issn | 2313-7673 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Biomimetics |
| spelling | doaj-art-6e5582d64fb74d21970ffeee5f7304a92025-01-24T13:24:33ZengMDPI AGBiomimetics2313-76732024-12-01101310.3390/biomimetics10010003Ameliorated Chameleon Algorithm-Based Shape Optimization of Disk Wang–Ball CurvesYan Liang0Rui Yang1Xianzhi Hu2Gang Hu3School of Technology, Xi’an Siyuan University, Xi’an 710038, ChinaXi’an Mingde Institute of Technology, College of General Education, Xi’an 710600, ChinaDivision of Informationize Management, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Computer Science and Engineering, Xi’an University of Technology, Xi’an 710048, ChinaThe shape design and optimization of complex disk curves is a crucial and intractable technique in computer-aided design and manufacturing (CAD/CAM). Based on disk Wang–Ball (DWB) curves, this paper defines a novel combined disk Wang–Ball (CDWB) curve with constrained parameters and investigates the shape optimization of CDWB curves by using the multi-strategy ameliorated chameleon swarm algorithm (MCSA). Firstly, in order to meet the various shape design requirements, the CDWB curves consisting of <i>n</i> DWB curves are defined, and the G<sup>1</sup> and G<sup>2</sup> geometric continuity conditions for the curves are derived. Secondly, the shape optimization of CDWB curves is considered as a minimization problem with curve energy as the objective, and an optimization model is developed under the constraints of the splicing conditions. Finally, the meta-heuristic algorithm MCSA is introduced to solve the established optimization model to obtain the minimum energy value, and its performance is verified by comparison with other algorithms. The results of representative numerical examples confirm the effectiveness and competitiveness of the MCSA for the CDWB curve shape optimization problems.https://www.mdpi.com/2313-7673/10/1/3combined disk Wang–Ball curvesgeometric continuityshape optimizationenergy minimizationameliorated chameleon algorithm |
| spellingShingle | Yan Liang Rui Yang Xianzhi Hu Gang Hu Ameliorated Chameleon Algorithm-Based Shape Optimization of Disk Wang–Ball Curves Biomimetics combined disk Wang–Ball curves geometric continuity shape optimization energy minimization ameliorated chameleon algorithm |
| title | Ameliorated Chameleon Algorithm-Based Shape Optimization of Disk Wang–Ball Curves |
| title_full | Ameliorated Chameleon Algorithm-Based Shape Optimization of Disk Wang–Ball Curves |
| title_fullStr | Ameliorated Chameleon Algorithm-Based Shape Optimization of Disk Wang–Ball Curves |
| title_full_unstemmed | Ameliorated Chameleon Algorithm-Based Shape Optimization of Disk Wang–Ball Curves |
| title_short | Ameliorated Chameleon Algorithm-Based Shape Optimization of Disk Wang–Ball Curves |
| title_sort | ameliorated chameleon algorithm based shape optimization of disk wang ball curves |
| topic | combined disk Wang–Ball curves geometric continuity shape optimization energy minimization ameliorated chameleon algorithm |
| url | https://www.mdpi.com/2313-7673/10/1/3 |
| work_keys_str_mv | AT yanliang amelioratedchameleonalgorithmbasedshapeoptimizationofdiskwangballcurves AT ruiyang amelioratedchameleonalgorithmbasedshapeoptimizationofdiskwangballcurves AT xianzhihu amelioratedchameleonalgorithmbasedshapeoptimizationofdiskwangballcurves AT ganghu amelioratedchameleonalgorithmbasedshapeoptimizationofdiskwangballcurves |