大型运输船双层底结构作为承载货重的核心部件，其传统设计存在材料冗余的突出问题。本文针对船体结构的轻量化需求，通过Matlab编程对同一结构进行优化设计，系统对比变密度法、水平集法和BESO方法在高双层底实肋板中的适用性。研究中确保3种方法在工程条件上的一致性，包括相同的网格数、边界条件和体积分数范围。结果表明，BESO方法在处理复杂约束条件和实现结构边界的清晰性方面表现最优，优化过程更稳定，优化后的结构表现出了较高的强度，在实肋板结构拓扑优化设计过程中适用性更强。
The double bottom structure of large transport ships serves as a core component for bearing cargo weight, and its traditional design has prominent issues with material redundancy. This study addresses the lightweight requirements of the hull structure by optimizing the design of the same structure through Matlab programming. It systematically compares the applicability of the variable density method, level set method, and BESO method in high double bottom solid ribs. The study ensures consistency among the three methods in engineering conditions, including the same number of grids, boundary conditions, and volume fraction ranges. The results indicate that the BESO method performs optimally in handling complex constraint conditions and achieving clarity in structural boundaries. The optimization process is more stable, and the optimized structure exhibits high strength, making it more applicable in the topology optimization design process of solid rib structures.
2025,47(22): 46-52 收稿日期：2025-3-3
DOI：10.3404/j.issn.1672-7649.2025.22.007
分类号：U663
基金项目：国家自然科学基金资助项目（52061135107）
作者简介：张彬滨（2000 – ），男，硕士研究生，研究方向为船体结构强度
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