Numerical Comparisons of Heuristic Stress Topology Optimization Methods
Mitigating excessive stress, a primary cause of structural failure, deformation, and premature fatigue, is critical in engineering design. Evolutionary (BESO) and proportional topology optimization (PTO) are standard heuristic approaches, yet their relative computational efficiency and accuracy for...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-07-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/15/2353 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849406210020737024 |
|---|---|
| author | Yongfeng Zheng Jiale Qiu Zhipeng Chen |
| author_facet | Yongfeng Zheng Jiale Qiu Zhipeng Chen |
| author_sort | Yongfeng Zheng |
| collection | DOAJ |
| description | Mitigating excessive stress, a primary cause of structural failure, deformation, and premature fatigue, is critical in engineering design. Evolutionary (BESO) and proportional topology optimization (PTO) are standard heuristic approaches, yet their relative computational efficiency and accuracy for stress problems are not well understood. Addressing this gap, this paper conducts the first comprehensive comparisons of BESO and PTO for the stress minimization problem, also investigating the impact of the <i>p</i>-norm. Optimization results reveal PTO’s significant advantage in computational speed. BESO sometimes produces designs with lower maximum stresses, though with higher structural compliance. |
| format | Article |
| id | doaj-art-8a34795f0241418f9ba3e728511a9cb5 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-8a34795f0241418f9ba3e728511a9cb52025-08-20T03:36:27ZengMDPI AGMathematics2227-73902025-07-011315235310.3390/math13152353Numerical Comparisons of Heuristic Stress Topology Optimization MethodsYongfeng Zheng0Jiale Qiu1Zhipeng Chen2School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaMitigating excessive stress, a primary cause of structural failure, deformation, and premature fatigue, is critical in engineering design. Evolutionary (BESO) and proportional topology optimization (PTO) are standard heuristic approaches, yet their relative computational efficiency and accuracy for stress problems are not well understood. Addressing this gap, this paper conducts the first comprehensive comparisons of BESO and PTO for the stress minimization problem, also investigating the impact of the <i>p</i>-norm. Optimization results reveal PTO’s significant advantage in computational speed. BESO sometimes produces designs with lower maximum stresses, though with higher structural compliance.https://www.mdpi.com/2227-7390/13/15/2353heuristic algorithmstress minimizationcalculational efficiencyevolutionary optimization |
| spellingShingle | Yongfeng Zheng Jiale Qiu Zhipeng Chen Numerical Comparisons of Heuristic Stress Topology Optimization Methods Mathematics heuristic algorithm stress minimization calculational efficiency evolutionary optimization |
| title | Numerical Comparisons of Heuristic Stress Topology Optimization Methods |
| title_full | Numerical Comparisons of Heuristic Stress Topology Optimization Methods |
| title_fullStr | Numerical Comparisons of Heuristic Stress Topology Optimization Methods |
| title_full_unstemmed | Numerical Comparisons of Heuristic Stress Topology Optimization Methods |
| title_short | Numerical Comparisons of Heuristic Stress Topology Optimization Methods |
| title_sort | numerical comparisons of heuristic stress topology optimization methods |
| topic | heuristic algorithm stress minimization calculational efficiency evolutionary optimization |
| url | https://www.mdpi.com/2227-7390/13/15/2353 |
| work_keys_str_mv | AT yongfengzheng numericalcomparisonsofheuristicstresstopologyoptimizationmethods AT jialeqiu numericalcomparisonsofheuristicstresstopologyoptimizationmethods AT zhipengchen numericalcomparisonsofheuristicstresstopologyoptimizationmethods |