Citation: | Li Ran, Liu Shutian. ROBUST TOPOLOGY OPTIMIZATION OF STRUCTURES CONSIDERING THE UNCERTAINTY OF SURFACE LAYER THICKNESS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1471-1479. DOI: 10.6052/0459-1879-20-419 |
[1] |
Bends?e MP, Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 1988,71(2):197-224
|
[2] |
Mei YL, Wang XM. A level set method for structural topology optimization. Computer Methods in Applied Mechanics and Engineering, 2004,35(7):415-441
|
[3] |
Zuo ZH, Xie YM, Huang X. Evolutionary topology optimization of structures with multiple displacement and frequency constraints. Advances in Structural Engineering, 2012,15(2):385-398
|
[4] |
Zhang WS, Yuan J, Zhang J, et al. A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model. Structural and Multidisciplinary Optimization, 2016,53(6):1243-1260
|
[5] |
Luo YF, Chen WJ, Liu ST, et al. A discrete-continuous parameterization (DCP) for concurrent optimization of structural topologies and continuous material orientations. Composite Structures, 2020,236:111900
|
[6] |
卢秉恒, 李涤尘. 增材制造(3D打印)技术发展. 机械制造与自动化, 2013,42(4):1-4
(Lu Bingheng, Li Dichen. Development of the Additive Manufacturing (3D printing) Technology. Machine Building and Automation, 2013,42(4):1-4 (in Chinese))
|
[7] |
汤慧萍, 王建, 逯圣路 等. 电子束选区熔化成形技术研究进展. 中国材料进展, 2015,34(3):225-235
(Tang Huiping, Wang Jian, Lu Shenglu, et al. Research Progress in Selective Electron Beam Melting. Materials China, 2015,34(3):225-235 (in Chinese))
|
[8] |
Javaid M, Haleem A. Additive manufacturing applications in medical cases: A literature based review. Alexandria Journal of Medicine, 2017,54(4):411-422
|
[9] |
卢秉恒. 增材制造技术 —— 现状与未来. 中国机械工程, 2020,31(1):19-23
(Lu Bingheng. Additive manufacturing - Current situation and future. China Machine Engineering, 2020,31(1):19-23 (in Chinese))
|
[10] |
Meng L, Zhang W, Quan D, et al. Correction to: From topology optimization design to additive manufacturing: Today's success and tomorrow's roadmap. Archives of Computational Methods in Engineering, 2021,21:269
|
[11] |
Luo YF, Sigmund O, Li QH, et al. Additive manufacturing oriented topology optimization of structures with self-supported enclosed voids. Computer Methods in Applied Mechanics and Engineering, 2020,372:113385
|
[12] |
顾冬冬, 沈以赴. 基于选区激光融化的金属材料零件快速成形现状与技术展望. 航空制造技术, 2012(8):32-37
(Gu Dongdong, Shen Yifu. Research status and technical prospect of rapid manufacturing of metallic part by sdective laser meIting. Aeronautical Manufacturing Technology, 2012(8):32-37 (in Chinese))
|
[13] |
Du W, Bai Q, Wang Y, et al. Eddy current detection of subsurface defects for additive/subtractive hybrid manufacturing. International Journal of Advanced Manufacturing Technology, 2017,95(5-8):1-11
|
[14] |
Wang JC, Cui YN, Liu CM, et al. Understanding internal defects in Mo fabricated by wire arc additive manufacturing through 3D computed tomography. Journal of Alloys and Compounds, 2020,840:155753
|
[15] |
范慧茹. 考虑表面层异质及其不确定性的增材制造结构拓扑优化方法. [硕士论文]. 大连: 大连理工大学, 2018
(Fan Huiru. Topology optimization method of additive manufacture structures with surface layer heterogeneity and uncertainty considered. [Master Thesis]. Dalian: Dalian University of Technology, 2018 (in Chinese))
|
[16] |
Du J, Sun C. Reliability-based vibro-acoustic microstructural topology optimization. Structural & Multidiplinary Optimization, 2016,55(4):1-21
|
[17] |
Wang L, Xia HJ, Zhang XY, et al. Non-probabilistic reliability-based topology optimization of continuum structures considering local stiffness and strength failure. Computer Methods in Applied Mechanics and Engineering, 2019,346:788-809
|
[18] |
Asadpoure A, Tootkaboni M, Guest JK. Robust topology optimization of structures with uncertainties in stiffness-Application to truss structures. Computers and Structures, 2011,89(11-12):1131-1141
|
[19] |
Sigmund O. Manufacturing tolerant topology optimization. Acta Mechanica Sinica, 2009,25(2):227-239
|
[20] |
Sigmund O. Morphology-based black and white filters for topology optimization. Structural & Multidisciplinary Optimization, 2007,33(4):401-424
|
[21] |
Wang FW, Jensen JS, Sigmund O. Robust topology optimization of photonic crystal waveguides with tailored dispersion properties. Journal of the Optical Society of America, B, Optical physics, 2011,28(3):387-397
|
[22] |
Schevenels M, Lazarov BS, Sigmund O. Robust topology optimization accounting for spatially varying manufacturing errors. Computer Methods in Applied Mechanics and Engineering, 2011,200(49-52):3613-3627
|
[23] |
Kang Z, Wu CL, Luo YJ, et al. Robust topology optimization of multi-material structures considering uncertain graded interface. Composite Structures, 2019,208:395-406
|
[24] |
Zheng J, Luo Z, Jiang C, et al. Robust topology optimization for concurrent design of dynamic structures under hybrid uncertainties. Mechanical Systems and Signal Processing, 2019,120:540-559
|
[25] |
Clausen A, Aage N, Sigmund O. Topology optimization of coated structures and material interface problems. Computer Methods in Applied Mechanics and Engineering, 2015,290:524-541
|
[26] |
Chu S, Xiao M, Gao L, et al. Topology optimization of multi-material structures with graded interfaces. Computer Methods in Applied Mechanics and Engineering, 2019,346:1096-1117
|
[27] |
Luo YF, Li QH, Liu ST. A projection-based method for topology optimization of structures with graded surfaces. International Journal for Numerical Methods in Engineering, 2019,118(11):654-677
|
[28] |
Luo YF, Li QH, Liu ST. Topology optimization of shell-infill structures using an erosion-based interface identification method. Computer Methods in Applied Mechanics and Engineering, 2019,355:94-112
|
[29] |
Bourdin B. Filters in topology optimization. International Journal for Numerical Methods in Engineering, 2001,50(9):2143-2158
|
[30] |
Bruns TE, Tortorelli DA. Topology optimization of non-linear elastic structures and compliant mechanisms. Computer Methods in Applied Mechanics & Engineering, 2001,190(26-27):3443-3459
|
[31] |
Lazarov BS, Sigmund O. Filters in topology optimization based on Helmholtz-type differential equations. International Journal for Numerical Methods in Engineering, 2011,86(6):765-781
|
[32] |
Guest JK, Prevost J, Belytschko T. Achieving minimum length scale in topology optimization using nodal design variables and projection functions. International Journal for Numerical Methods in Engineering, 2004,61(2):238-254
|
[33] |
Wang FW, Lazarov BS, Sigmund O. On projection methods, convergence and robust formulations in topology optimization. Structural and Multidisciplinary Optimization, 2011,43(6):767-784
|
[34] |
亢战, 程耿东. 基于随机有限元的非线性结构稳健性优化设计. 计算力学学报, 2006,23(2):129-135
(Kang Zhan, Cheng Gengdong. Structural robust design based on perturbation stochastic finite element method. Chinese Journal of Computational Mechanics, 2006,23(2):129-135 (in Chinese))
|
[35] |
Da Silva GA, Cardoso EL. Stress-based topology optimization of continuum structures under uncertainties. Computer Methods in Applied Mechanics and Engineering, 2017,313:647-672
|
[36] |
Svanberg K. The method of moving asymptotes — A new method for structural optimization. International journal for numerical methods in engineering, 1987,24(2):359-373
|
[37] |
Clausen A, Andreassen E. On filter boundary conditions in topology optimization. Structural and Multidisciplinary Optimization, 2017,56(5):1147-1155
|
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