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Outline
To improve the efficiency and accuracy of ultimate-bending-moment estimation for complex non-symmetric hull sections, a hybrid method integrating genetic-enhanced Bayesian optimization with an improved Smith stepwise failure procedure was proposed. Firstly, for a given section curvature and increment, Latin hypercube sampling was used to generate an initial design and train a Gaussian process (Kriging) surrogate. Based on the surrogate’s posterior mean and variance, an Expected Improvement (EI) acquisition function was constructed, and a genetic algorithm was then employed to maximize EI and select candidate sampling points, thereby enhancing global search capability while keeping the number of high-fidelity evaluations small. Selected candidates were subsequently refined by a constrained derivative-free local optimizer and their high-fidelity evaluations were incorporated into the training set to iteratively update the surrogate, ensuring accurate local search in regions near global optima. With the Dow 1/3-scale frigate model adopted as a test case, the ultimate bending moments under intact and damaged conditions were computed using the traditional Smith method, a PSO-Smith variant and the proposed approach. Results show that the proposed method could precisely resolve the ultimate bending moments for non-symmetric sections, and that, compared with the PSO-Smith approach, it improves computational accuracy by approximately 2% and increases computational efficiency by about 90%, validating its effectiveness and strong potential for engineering applications.
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| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |
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