面向异形结构的共形点阵变密度调控设计方法OA
A Design Method for Conformal Lattice Variable Density Control of Irregular Structures
针对异形承载结构中存在的共形点阵建模填充复杂、大规模单胞导致设计变量激增、优化困难的问题,提出了一种基于函数描述的共形点阵变密度调控设计方法.通过发展基于网格变形的共形点阵参数化建模方法,可实现异形结构的点阵快速填充;进一步提出了基于分段三次Hermite插值多项式的点阵单胞尺寸调控方法和基于代理模型的点阵杆径调控方法,可实现点阵的精细调控和设计变量降维;在此基础上,建立了基于自适应更新动态代理模型的点阵结构优化设计框架,实现了点阵调控参数的快速优化设计.通过两个工程算例开展了算例验证,包括火箭有效载荷适配器应变能优化、飞行器异形承载舱段结构屈曲优化,综合计算结果表明了所提方法对于不同问题的有效性.
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.
罗玮;冯少军;郝鹏;霍泽凯;高勇;焦世坤
大连理工大学工程力学系工业装备结构分析优化与CAE软件全国重点实验室,辽宁大连 116024大连理工大学工程力学系工业装备结构分析优化与CAE软件全国重点实验室,辽宁大连 116024大连理工大学工程力学系工业装备结构分析优化与CAE软件全国重点实验室,辽宁大连 116024北京机电工程研究所,北京 100074北京机电工程研究所,北京 100074北京星航机电装备有限公司,北京 100074
数理科学
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
irregular structure lattice fillingconformal lattice modelingvariable density control designsur-rogate model optimization
《应用数学和力学》 2026 (1)
1-14,14
国家重点研发计划项目(2022YFF1400302)
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