Numerical Comparisons of Heuristic Stress Topology Optimization Methods

Yongfeng Zheng, Jiale Qiu and Zhipeng Chen ()
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Yongfeng Zheng: School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China
Jiale Qiu: School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China
Zhipeng Chen: School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China

Mathematics, 2025, vol. 13, issue 15, 1-8

Abstract: 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 p -norm. Optimization results reveal PTO’s significant advantage in computational speed. BESO sometimes produces designs with lower maximum stresses, though with higher structural compliance.

Keywords: heuristic algorithm; stress minimization; calculational efficiency; evolutionary optimization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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