Volume 46 Issue 10
Oct.  2025
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LI Sijia, ZHONG Changting, XIN Dabo. Adaptive Enhanced Beluga Whale Optimization for Structural Reliability Analysis of Engineering Structures[J]. Applied Mathematics and Mechanics, 2025, 46(10): 1295-1306. doi: 10.21656/1000-0887.450233
Citation: LI Sijia, ZHONG Changting, XIN Dabo. Adaptive Enhanced Beluga Whale Optimization for Structural Reliability Analysis of Engineering Structures[J]. Applied Mathematics and Mechanics, 2025, 46(10): 1295-1306. doi: 10.21656/1000-0887.450233

Adaptive Enhanced Beluga Whale Optimization for Structural Reliability Analysis of Engineering Structures

doi: 10.21656/1000-0887.450233
Funds:

The National Science Foundation of China(12402139;52368070)

  • Received Date: 2024-08-15
  • Rev Recd Date: 2024-09-22
  • Available Online: 2025-11-13
  • Structural reliability analysis is an important technique in the uncertainty quantification of engineering structures, while the 1st-order reliability method (FORM) is popular due to its simplicity and efficiency. However, the FORM depends on the gradient information and may fall into local convergence for high-dimensional and highly nonlinear problems. The adaptive enhanced beluga whale optimization (BWO) was proposed for structural reliability analysis. The BWO with its updating rules was utilized to control the exploitation capacity, and the intelligence level of Alibaba and the forty thieves algorithm was combined with the updating mechanism to control the exploration capacity. Moreover, the adaptive strategy was developed to balance the exploration and exploitation, and the adaptive enhanced BWO was combined with the FORM to find the global reliability index in structural reliability analysis. Finally, 3 structural reliability problems in engineering were used to validate the HABWO-FORM, compared with 6 different metaheuristic algorithms. The results indicate that, the proposed method outperforms the comparative algorithms in terms of accuracy and robustness.
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