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High-speed vessels face significant challenges in optimizing bow structures under slamming loads due to uncertainties in load magnitude and spatial distribution. This paper proposes a multi-stage topology optimization method integrating load uncertainty analysis and manufacturing constraints to balance lightweight design and engineering feasibility. Firstly, the uncertain loads are converted into multi-scenario worst-case loading problems. Through an iterative "critical load scenario-topology optimization" process, the critical load positions are dynamically updated. Then, a topology optimization strategy based on the Solid Isotropic Material with Penalization (SIMP) method is employed, incorporating geometric/manufacturing constraints to progressively derive an optimal stiffener layout that meets strength and stiffness requirements. Each iteration retains prior design outcomes and updates worst-case load scenarios to achieve progressive adaptation to uncertain loads. Finally, multiple iterations and geometric reconstruction convert high-density element clusters into manufacturable stiffener configurations. Finite element verification demonstrates that the optimized bow structure exhibits significantly reduced maximum displacement, more uniform multi-scenario responses, and compliance with lightweight and safety requirements. This method effectively addresses the computational burden of double-layer nested optimization, offering a novel approach for structural optimization of high-speed vessel bows under stochastic slamming loads.
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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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