曲面加筋结构拓扑优化结果参数化重构方法

doi:10.7527/S1000-6893.2024.30586

Abstract

Abstract:

The topology optimization density field results of curved stiffened structures have problems such as discontinuity and too small structural features， which make them difficult to be directly applied to subsequent fine design and manufacturing. Meanwhile， feature extraction and model reconstruction based on artificial experience have problems such as cumbersome operation and long reconstruction period. To address the above problems， a parametric reconstruction for topology features of curved stiffened structures method is proposed. Firstly， a mapping relationship between three-dimensional surface space and two-dimensional planar space is established for the results of surface stiffened topology optimization， and the transformation from surface optimization results to planar optimization results is realized based on forward mesh mapping. Then， for the planar optimization results， the contour feature parameters are extracted based on the image morphology method， and the geometric model is reconstructed by spline curve interpolation to obtain the parametric model of the planar optimization results. Finally， based on the inverse mapping mesh mapping method， the parametric model of the surface optimization results is obtained， and the parametric reconstruction of the topology optimization results of the surface stiffened structure is realized. Based on the proposed method， three typical curved stiffened structures of bearing cylinder， cabin door and sealed cabin are taken as examples， and the reconstruction results are compared with the optimization results. The results show that the error between the structural response of the parametric reconstruction model and the topology optimization result is within 5%， indicating that the proposed method has excellent reconstruction accuracy.

Key words: curved stiffened structure, mesh mapping, image morphology, feature extraction, parametric reconstruction

CLC Number:

V214.4

Baicheng JIN, Kuo TIAN, Lei HUANG. Parametric reconstruction method for topology optimization results of curved stiffened structures[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(24): 630586.

Figures/Tables 23

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Table 1

Fig.11

Fig.12

Fig.13

Fig.14

Fig.15

Table 2

Fig.16

Fig.17

Fig.18

Fig.19

Fig.20

Table 3

References 32

1	SIGMUND O. A 99 line topology optimization code written in Matlab［J］. Structural and Multidisciplinary Optimization， 2001， 21： 120-127.
2	BOURDIN B. Filters in topology optimization［J］. International Journal for Numerical Methods in Engineering， 2001， 50（9）： 2143-2158.
3	BRUNS T E， TORTORELLI D A. Topology optimization of non-linear elastic structures and compliant mechanisms［J］. Computer Methods in Applied Mechanics and Engineering， 2001， 190（26-27）： 3443-3459.
4	SIGMUND O. Morphology-based black and white filters for topology optimization［J］. Structural and Multidisciplinary Optimization， 2007， 33： 401-424.
5	PETERSSON J， SIGMUND O. Slope constrained topology optimization［J］. International Journal for Numerical Methods in Engineering， 1998， 41（8）： 1417-1434.
6	HABER R B， JOG C S， BENDSØE M P. A new approach to variable-topology shape design using a constraint on perimeter［J］. Structural Optimization， 1996， 11： 1-12.
7	CHRISTIANSEN A N， BÆRENTZEN J A， NOBELJØRGENSEN M， et al. Combined shape and topology optimization of 3D structures［J］. Computers & Graphics， 2015， 46： 25-35.
8	BENDSØE M P， SIGMUND O. Material interpolation schemes in topology optimization［J］. Archive of Applied Mechanics， 1999， 69： 635-654.
9	GARRIDO-JURADO S， MUÑOZ-SALINAS R， MADRID-CUEVAS F J， et al. Automatic generation and detection of highly reliable fiducial markers under occlusion［J］. Pattern Recognition， 2014， 47（6）： 2280-2292.
10	LIU S， LI Q， LIU J， et al. A realization method for transforming a topology optimization design into additive manufacturing structures［J］. Engineering， 2018， 4（2）： 277-285.
11	NIEMANN S， KOLESNIKOV B， LOHSE-BUSCH H， et al. The use of topology optimisation in the conceptual design of next generation lattice composite aircraft fuselage structures［J］. Aeronautical Journal， 2013， 117（1197）： 1139-1154.
12	周涛，段薇，胡三宝，等. 拓扑优化结果的多视图参数化几何重构方法［J］. 数字制造科学， 2019， 17（1）： 68-72.
	ZHOU T， DUAN W， HU S B， et al. Multi－view parametric geometry reconstruction method for optimum topologic results［J］. Digital Manufacturing Science， 2019， 17（1）： 68-72 （in Chinese）.
13	YI G， KIM N H. Identifying boundaries of topology optimization results using basic parametric features［J］. Structural and Multidisciplinary Optimization， 2017， 55： 1641-1654.
14	金永乔，胡华洲，杨长祺，等. 舱体构件激光扫描和点云重构方法［J］. 装备制造技术， 2020（12）： 48-51.
	JIN Y Q， HU H Z， YANG C Q， et al. Laser scanning and point cloud reconstruction of cabin components［J］. Equipment Manufacturing Technology， 2020（12）： 48-51 （in Chinese）.
15	WIEMANN T， MITSCHKE I， MOCK A， et al. Surface reconstruction from arbitrarily large point clouds［C］∥2018 Second IEEE International Conference on Robotic Computing （IRC）. 2018： 278-281.
16	张伟伟，高传强，叶正寅. 气动弹性计算中网格变形方法研究进展［J］. 航空学报， 2014， 35（2）： 303-319.
	ZHANG W W， GAO C Q， YE Z Y. Research progress on mesh deformation method in computational aeroelasticity［J］. Acta Aeronautica et Astronautica Sinica， 2014， 35（2）： 303-319 （in Chinese）.
17	唐静，邓有奇，马明生，等. 飞翼气动优化中参数化和网格变形技术［J］. 航空学报， 2015， 36（5）： 1480-1490.
	TANG J， DENG Y Q， MA M S， et al. Parameterization and grid deformation techniques for flying-wing aerodynamic optimization［J］. Acta Aeronautica et Astronautica Sinica， 2015， 36（5）： 1480-1490 （in Chinese）.
18	LAI C L， WANG J B， LIU C. Parameterized finite element modeling and buckling analysis of six typical composite grid cylindrical shells［J］. Applied Composite Materials， 2014， 21（5）： 739-758.
19	WANG B， TIAN K， HAO P， et al. Numerical-based smeared stiffener method for global buckling analysis of grid-stiffened composite cylindrical shells［J］. Composite Structures， 2016， 152： 807-815.
20	LI L， YUAN T， LI Y， et al. Multidisciplinary design optimization based on parameterized free-form deformation for single turbine［J］. AIAA Journal， 2019， 57（5）： 2075-2087.
21	MARTIN-BURGOS M J， GONZALEZ-JUAREZ D， ANDRES-PEREZ E. A novel surface mesh deformation method for handling wing-fuselage intersections［J］. Chinese Journal of Aeronautics， 2017， 30（1）： 264-273.
22	ZHANG W， WANG D， YANG J. A parametric mapping method for curve shape optimization on 3D panel structures［J］. International Journal for Numerical Methods in Engineering， 2010， 84（4）： 485-504.
23	LIU X， QIN N， XIA H. Fast dynamic grid deformation based on Delaunay graph mapping［J］. Journal of Computational Physics， 2006， 211（2）： 405-423.
24	TAO J， SUN G， SI J， et al. A robust design for a winglet based on NURBS-FFD method and PSO algorithm［J］. Aerospace Science and Technology， 2017， 70： 568-577.
25	RENDALL T C S， ALLEN C B. Efficient mesh motion using radial basis functions with data reduction algorithms［J］. Journal of Computational Physics， 2009， 228（17）： 6231-6249.
26	GANG W， XIN C， ZHIKAN L I U. Mesh deformation on 3D complex configurations using multistep radial basis functions interpolation［J］. Chinese Journal of Aeronautics， 2018， 31（4）： 660-671.
27	李增聪，陈燕，李红庆，等. 面向集中力扩散的回转曲面加筋拓扑优化方法［J］. 航空学报， 2021， 42（9）： 224616.
	LI Z C， CHEN Y， LI H Q， et al. Topology optimization method for concentrated force diffusion on stiffened curved shell of revolution［J］. Acta Aeronautica et Astronautica Sinica， 2021， 42（9）： 224616 （in Chinese）.
28	TIAN K， LI H， HUANG L， et al. Data-driven modelling and optimization of stiffeners on undevelopable curved surfaces［J］. Structural and Multidisciplinary Optimization， 2020， 62： 3249-3269.
29	黎伟，刘观仕，姚婷. 膨胀土裂隙图像处理及特征提取方法的改进［J］. 岩土力学， 2014， 35（12）： 3619-3626.
	LI W， LIU G S， YAO T. Improvement of methods for crack image processing and crack feature extraction of expansive soil［J］. Rock and Soil Mechanics， 2014， 35（12）： 3619-3626 （in Chinese）.
30	BUSTACARA-MEDINA C， FLOREZ-VALENCIA L， DIAZ L C. Improved canny edge detector using principal curvatures［J］. Journal of Electrical and Electronic Engineering， 2020， 8（4）： 109-116.
31	XU H， XU X， ZUO Y. Applying morphology to improve Canny operator’s image segmentation method［J］. The Journal of Engineering， 2019（23）： 8816-8819.
32	BENDSOE M P， SIGMUND O. Topology optimization： theory， methods， and applications［M］. 2003.

变量	应变能/mJ	质量/kg	最大应力/MPa	最大位移/mm
误差/%	-0.5	-4.4	-0.6	-0.8
优化结果	353 796	29.5	1 170	6.50
重构结果	351 909	28.2	1 163	6.45

变量	应变能/mJ	质量/kg	最大应力/MPa	最大位移/mm
误差/%	-0.9	-3.1	-0.5	-4.6
优化结果	3 430	9.8	149.22	1.28
重构结果	3 403	9.5	148.49	1.22

变量	应变能/mJ	质量/kg	最大应力/MPa	最大位移/mm
误差/%	-2.9	-2.6	-3.5	+2.4
优化结果	46 442.9	210.4	81.96	2.06
重构结果	45 090.4	195.5	79.06	2.11

[1]	Chenhao ZHAO, Dewei WU, Jing HE, Qian WU. A semantic feature matching algorithm for UAV visual pose estimation [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(2): 330406-330406.
[2]	Zhaochen CHU, Tao SONG, Ren JIN, Defu LIN. Vision-based air-to-air multi-UAVs tracking [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(14): 629379-629379.
[3]	Baichuan ZHANG, Wenhao BI, An ZHANG, Zeming MAO, Mi YANG. Transformer-based error compensation method for air combat aircraft trajectory prediction [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(9): 327413-327413.
[4]	Jinrui WANG, Shanshan JI, Zongzhen ZHANG, Zhenyun CHU, Baokun HAN, Huaiqian BAO. Parallel sparse filtering for fault diagnosis under bearing acoustic signal [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(4): 426887-426887.
[5]	HAN Songyu, SHAO Haidong, JIANG Hongkai, ZHANG Xiaoyang. Intelligent fault diagnosis of aero-engine high-speed bearings using enhanced CNN [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 625479-625479.
[6]	YANG Te, YANG Zhichun, LIANG Shuya, KANG Zaifei, JIA You. Feature extraction and identification of stationary random dynamic load using deep neural network [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 225952-225952.
[7]	ZHAN Qingliang, BAI Chunjin, ZHANG Ning, GE Yaojun. Feature extraction method of flow around airfoil based on time-history convolutional autoencoder [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(11): 526531-526531.
[8]	CHEN Cheng, ZHAO Dan, WANG Yueqing, DENG Liang, YANG Chao, SU Chengyu, WANG Fang. NNW-TopViz visualization analysis system for flow field [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(9): 625747-625747.
[9]	ZHANG Weiwei, KOU Jiaqing, LIU Yilang. Prospect of artificial intelligence empowered fluid mechanics [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(4): 524689-524689.
[10]	ZHANG Kai, WANG Kaidi, YANG Xi, LI Shaoyi, WANG Xiaotian. Anti-interference recognition algorithm based on DNET for infrared aerial target [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(2): 324223-324223.
[11]	WAN Peng, LI Yingguang, LIU Changqing, HUA Jiaqi. Method for accurate prediction of tool wear under varying cutting conditions based on domain adversarial gating neural network [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(10): 524879-524879.
[12]	LI Jingqing, FENG Cunqian, SUN Hongwei, HE Sisan. Micro-motion feature and shape parameters extraction based on hybrid-scheme radar network for ballistic targets [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(6): 1963-1973.
[13]	SHEN Hao, LI Shuxiao, SHEN Yiping, ZHU Chengfei, CHANG Hongxing. Fast Interframe Registration Method in Aerial Videos [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(6): 1405-1413.
[14]	SHI Jun, JIANG Zhiguo, FENG Hao, ZHANG Haopeng, MENG Gang. Elastic Net Sparse Coding-based Space Object Recognition [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(5): 1129-1139.
[15]	CAI Jia, HUANG Panfeng. Research of a Real-time Feature Point Tracking Method Based on the Combination of Improved SURF and P-KLT Algorithm [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(5): 1204-1214.

Parametric reconstruction method for topology optimization results of curved stiffened structures

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 23

References 32

Related Articles 15

Recommended Articles

Metrics

Comments