双曲率壳结构作为一类具有复杂几何形态的薄壁空间结构，凭借其优异的力学性能和空间利用率，在航空航天、海洋工程、建筑结构和压力容器等领域得到了广泛应用。本文针对双曲率壳的静力学性能，梳理了近十年的研究进展，从理论建模、材料创新与复合材料应用以及结构设计3个方面展开深入分析。在理论研究方面，阐述了双曲率壳的各类理论模型的主要进展和方法创新；材料创新方面，探讨了功能梯度材料、纤维增强复合材料和超材料在双曲率壳中的最新应用成果；结构设计方面，归纳总结了仿生设计、参数化设计和拓扑设计等的最新成果。最后分析当前研究存在的问题，并对双曲率壳结构的未来研究进行前瞻性展望。
Hyperbolic shell structures, as a type of thin-walled spatial structure with complex geometric shapes, have been widely used in aerospace, marine engineering, building structures, and pressure vessels due to their excellent mechanical properties and space utilization. This article focuses on the static performance of hyperbolic shells and summarizes the research progress in the past decade, conducting in-depth analysis from three aspects: theoretical modeling, material innovation and composite material applications, and structural design. In terms of theoretical research, the main progress and methodological innovations of various theoretical models for hyperbolic shells were elaborated; In terms of material innovation, the latest application achievements of functionally graded materials, fiber-reinforced composite materials, and metamaterials in hyperbolic shells were discussed; In terms of structural design, the latest achievements in biomimetic design, parametric design, and topological design have been summarized. Finally, analyze the existing problems in current research and provide forward-looking prospects for future research on hyperbolic shell structures.
2026,48(5): 1-10 收稿日期：2025-5-27
DOI：10.3404/j.issn.1672-7649.2026.05.001
分类号：U663.1
基金项目：国家自然科学基金资助项目（52201388）
作者简介：白瑞雪(1997-),男,硕士研究生,研究方向为潜水器耐压结构设计
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