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

LUO Wei; FENG Shaojun; HAO Peng; HUO Zekai; GAO Yong; JIAO Shikun

doi:10.21656/1000-0887.460062

Volume 47 Issue 1

Jan. 2026

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Article Navigation > Applied Mathematics and Mechanics > 2026 > 47(1): 1-14

LUO Wei, FENG Shaojun, HAO Peng, HUO Zekai, GAO Yong, JIAO Shikun. A Design Method for Conformal Lattice Variable Density Control of Irregular Structures[J]. Applied Mathematics and Mechanics, 2026, 47(1): 1-14. doi: 10.21656/1000-0887.460062

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

doi: 10.21656/1000-0887.460062

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

Received Date: 2025-04-03
Rev Recd Date: 2025-04-21
Publish Date: 2026-01-01

Abstract

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

(Contributed by HAO Peng, M.AMM Editorial Board)

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References(33)

References

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