面向异形结构的共形点阵变密度调控设计方法

罗玮; 冯少军; 郝鹏; 霍泽凯; 高勇; 焦世坤

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

doi: 10.21656/1000-0887.460062

罗玮¹,
冯少军¹,
郝鹏^1, ,,
霍泽凯²,
高勇²,
焦世坤³

1. 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;
2. 北京星航机电装备有限公司，北京 100074;
3. 北京星航机电装备有限公司，北京 100074

基金项目:

国家重点研发计划项目（2022YFF1400302）

详细信息

作者简介:
罗玮（2001—），男，硕士生(E-mail: 254090887@mail.dlut.edu.cn)；郝鹏（1986—），男，教授，博士，博士生导师(通信作者. E-mail: haopeng@dlut.edu.cn).

通讯作者:
郝鹏（1986—），男，教授，博士，博士生导师(通信作者. E-mail: haopeng@dlut.edu.cn).

中图分类号: O342
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- 文章访问数: 22
- HTML全文浏览量: 6
- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2025-04-03
- 修回日期: 2025-04-21
- 网络出版日期: 2026-01-21
- 刊出日期: 2026-01-01

A Design Method for Conformal Lattice Variable Density Control of Irregular Structures

1. State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China;
2. Beijing Institute of Mechanical and Electrical Engineering, Beijing 100074. P.R.China;
3. Beijing Xinghang MechanicalElectric Equipment Co.,Ltd, Beijing 100074, P.R.China

摘要

摘要: 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.
- 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
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 surrogate models were proposed, to achieve fine control of the lattice and dimensionality reduction of design variables. On this basis, an optimization design framework for lattice structures based on an adaptively updated dynamic 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 comprehensive computational results show the effectiveness of the proposed method for different problems.
- irregular structure lattice filling /
- conformal lattice modeling /
- variable density control design /
- surrogate model optimization

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参考文献(33)

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面向异形结构的共形点阵变密度调控设计方法

doi: 10.21656/1000-0887.460062

作者简介:
罗玮（2001—），男，硕士生(E-mail: 254090887@mail.dlut.edu.cn)；郝鹏（1986—），男，教授，博士，博士生导师(通信作者. E-mail: haopeng@dlut.edu.cn).

通讯作者:
郝鹏（1986—），男，教授，博士，博士生导师(通信作者. E-mail: haopeng@dlut.edu.cn).

计量

A Design Method for Conformal Lattice Variable Density Control of Irregular Structures

计量

目录

留言板

面向异形结构的共形点阵变密度调控设计方法

doi: 10.21656/1000-0887.460062

作者简介: 罗玮（2001—），男，硕士生(E-mail: 254090887@mail.dlut.edu.cn)；郝鹏（1986—），男，教授，博士，博士生导师(通信作者. E-mail: haopeng@dlut.edu.cn).

通讯作者: 郝鹏（1986—），男，教授，博士，博士生导师(通信作者. E-mail: haopeng@dlut.edu.cn).

计量

出版历程

A Design Method for Conformal Lattice Variable Density Control of Irregular Structures

计量

出版历程

目录

作者简介:
罗玮（2001—），男，硕士生(E-mail: 254090887@mail.dlut.edu.cn)；郝鹏（1986—），男，教授，博士，博士生导师(通信作者. E-mail: haopeng@dlut.edu.cn).

通讯作者:
郝鹏（1986—），男，教授，博士，博士生导师(通信作者. E-mail: haopeng@dlut.edu.cn).