应用数学和力学2026，Vol.47Issue(1)：1-14,14.DOI:10.21656/1000-0887.460062
面向异形结构的共形点阵变密度调控设计方法
A Design Method for Conformal Lattice Variable Density Control of Irregular Structures
摘要
Abstract
To address the challenges of complex modeling and filling of conformal lattices in irregular load-bearing structures,as well as the difficulty in optimization caused by a surge in design variables due to large-scale unit cells,a conformal lattice variable density control design method based on functional descriptions was proposed.The parametric modeling method for conformal lattices based on mesh deformation was developed,enabling rapid lattice filling for irregular structures.Furthermore,a lattice unit cell size control method based on piecewise cubic Hermite interpolating polynomials and a lattice rod diameter control method based on surro-gate models were proposed,to achieve fine control of the lattice and dimensionality reduction of design varia-bles.On this basis,an optimization design framework for lattice structures based on an adaptively updated dy-namic surrogate model was established,to realize rapid optimization design of lattice control parameters.Two engineering case studies,including the strain energy optimization of rocket payload adapters and the buckling optimization of irregular load-bearing cabin structures for aircraft,validates the proposed method.The compre-hensive computational results show the effectiveness of the proposed method for different problems.关键词
异形结构点阵填充/共形点阵建模/变密度调控设计/代理模型优化Key words
irregular structure lattice filling/conformal lattice modeling/variable density control design/sur-rogate model optimization分类
数理科学引用本文复制引用
罗玮,冯少军,郝鹏,霍泽凯,高勇,焦世坤..面向异形结构的共形点阵变密度调控设计方法[J].应用数学和力学,2026,47(1):1-14,14.基金项目
国家重点研发计划项目(2022YFF1400302) （2022YFF1400302）
