| Citation: | Lin X J, Xu Z A, Guo T T, Bian H W, Guo X, Du Z L. Dynamic multiscale topology optimization based on equivalent static load method and structural genome databases. Advances in Mechanics, in press doi: 10.6052/1000-0992-26-002 |
| [1] |
陈小前, 赵勇, 霍森林, 等. 2023. 多尺度结构拓扑优化设计方法综述. 航空学报, 44: 25-60 (Chen X Q, Zhao Y, Huo S L, et al. 2023. A review of multi-scale structural topology optimization design methods. Acta Aeronautica ET Astronautica Sinica, 44: 25-60). doi: 10.7527/S1000-6893.2023.28863
Chen X Q, Zhao Y, Huo S L, et al. 2023. A review of multi-scale structural topology optimization design methods. Acta Aeronautica ET Astronautica Sinica, 44: 25-60. doi: 10.7527/S1000-6893.2023.28863
|
| [2] |
陈玉丽, 马勇, 潘飞, 等. 2018. 多尺度复合材料力学研究进展. 固体力学学报, 39: 1-68 (Chen Y L, Ma Y, Pan F, et al. 2018. Research progress of multi-scale composite mechanics. Chinese Journal of Solid Mechanics, 39: 1-68). doi: 10.19636/j.cnki.cjsm42-1250/o3.2017.030
Chen Y L, Ma Y, Pan F, et al. 2018. Research progress of multi-scale composite mechanics. Chinese Journal of Solid Mechanics, 39: 1-68. doi: 10.19636/j.cnki.cjsm42-1250/o3.2017.030
|
| [3] |
江旭东, 吴昊, 滕晓艳, 等. 2024. 时域动载荷作用下多微结构多尺度并行动力学拓扑优化. 振动与冲击, 43: 53-62 (Jiang X D, Wu H, Teng X Y, et al. 2024. Multiscale concurrent topology optimization for cellular structures with multiple microstructures subjected to dynamic load. Journal of Vibration and Shock, 43: 53-62).
Jiang X D, Wu H, Teng X Y, et al. 2024. Multiscale concurrent topology optimization for cellular structures with multiple microstructures subjected to dynamic load. Journal of Vibration and Shock, 43: 53-62.
|
| [4] |
Afrousheh M, Marzbanrad J, Göhlich D. 2019. Topology optimization of energy absorbers under crashworthiness using modified hybrid cellular automata (MHCA) algorithm. Structural and Multidisciplinary Optimization, 60: 1021-1034. doi: 10.1007/s00158-019-02254-2
|
| [5] |
Aizenberg J, Weaver J C, Thanawala M S, et al. 2005. Skeleton of Euplectella sp.: Structural hierarchy from the nanoscale to the macroscale. Science, 309: 275-278. doi: 10.1126/science.1112255
|
| [6] |
Alexandersen J, Lazarov B S. 2015. Topology optimisation of manufacturable microstructural details without length scale separation using a spectral coarse basis preconditioner. Computer Methods in Applied Mechanics and Engineering, 290: 156-182. doi: 10.1016/j.cma.2015.02.028
|
| [7] |
Andreassen E, Andreasen C S. 2014. How to determine composite material properties using numerical homogenization. Computational Materials Science, 83: 488-495. doi: 10.1016/j.commatsci.2013.09.006
|
| [8] |
Aulig N, Olhofer M. 2016. State-based representation for structural topology optimization and application to crashworthiness//2016 IEEE Congress on Evolutionary Computation (CEC). 1642-1649.
|
| [9] |
Avellaneda M. 1987. Optimal bounds and microgeometries for elastic two-phase composites. SIAM Journal on Applied Mathematics, 47: 1216-1228. doi: 10.1137/0147082
|
| [10] |
Choi W S, Park G J. 1999. Transformation of dynamic loads into equivalent static loads based on modal analysis. International Journal for Numerical Methods in Engineering, 46: 29-43. doi: 10.1002/(SICI)1097-0207(19990910)46:1<29::AID-NME661>3.0.CO;2-D
|
| [11] |
Du Z L, Cui T C, Liu C, et al. 2022. An efficient and easy-to-extend Matlab code of the moving morphable component (MMC) method for three-dimensional topology optimization. Structural and Multidisciplinary Optimization, 65: 158-186. doi: 10.1007/s00158-022-03239-4
|
| [12] |
Gangwar T, Schillinger D. 2021. Concurrent material and structure optimization of multiphase hierarchical systems within a continuum micromechanics framework. Structural and Multidisciplinary Optimization, 64: 1175-1197. doi: 10.1007/s00158-021-02907-1
|
| [13] |
Gao J, Luo Z, Xia L, et al. 2019. Concurrent topology optimization of multiscale composite structures in Matlab. Structural and Multidisciplinary Optimization, 60: 2621-2651. doi: 10.1007/s00158-019-02323-6
|
| [14] |
Giraldo-londoño O, Paulino G H. 2021. PolyDyna: A Matlab implementation for topology optimization of structures subjected to dynamic loads. Structural and Multidisciplinary Optimization, 64: 957-990. doi: 10.1007/s00158-021-02859-6
|
| [15] |
Hao W, Du Z, Li J, et al. 2025a. Machine learning enhanced multiscale topology optimization with structural genome databases. Science China Physics, Mechanics & Astronomy, 69: 214603 doi: 10.1007/s11433-025-2744-6
|
| [16] |
Hao W, Du Z, Hou X, et al. 2025b. Intelligent design of mechanical metamaterials: A GCNN-based structural genome database approach. National Science Review, 12: nwaf053. doi: 10.1093/nsr/nwaf053
|
| [17] |
Huang X, Xie Y M, Lu G. 2007. Topology optimization of energy-absorbing structures. International Journal of Crashworthiness, 12: 663-675. doi: 10.1080/13588260701497862
|
| [18] |
Jang H H, Lee H A, Park G J. 2009. Preliminary study on linear dynamic response topology optimization using equivalent static loads. Transactions of the Korean Society of Mechanical Engineers A, 33: 1401-1409. doi: 10.3795/KSME-A.2009.33.12.1401
|
| [19] |
Jang H H, Lee H A, Lee J Y, et al. 2012. Dynamic response topology optimization in the time domain using equivalent static loads. AIAA Journal, 50: 226-234. doi: 10.2514/1.J051256
|
| [20] |
Kim Y I, Park G J. 2010. Nonlinear dynamic response structural optimization using equivalent static loads. Computer Methods in Applied Mechanics and Engineering, 199: 660-676. doi: 10.1016/j.cma.2009.10.014
|
| [21] |
Lee H A, Park G J. 2015. Nonlinear dynamic response topology optimization using the equivalent static loads method. Computer Methods in Applied Mechanics and Engineering, 283: 956-970. doi: 10.1016/j.cma.2014.10.015
|
| [22] |
Li H, Luo Z, Xiao M, et al. 2019. A new multiscale topology optimization method for multiphase composite structures of frequency response with level sets. Computer Methods in Applied Mechanics and Engineering, 356: 116-144. doi: 10.1016/j.cma.2019.07.020
|
| [23] |
Liu K, Detwiler D, Tovar A. 2017. Metamodel-based global optimization of vehicle structures for crashworthiness supported by clustering methods//World Congress of Structural and Multidisciplinary Optimisation. 1545-1557.
|
| [24] |
Liu L, Yan J, Cheng G. 2008. Optimum structure with homogeneous optimum truss-like material. Computers & Structures, 86: 1417-1425. doi: 10.1016/j.compstruc.2007.04.030
|
| [25] |
Mohammad V, Hermann S, Shoufeng Y. 2013. A review on 3D micro-additive manufacturing technologies. The International Journal of Advanced Manufacturing Technology, 67: 1721-1754. doi: 10.1007/s00170-012-4605-2
|
| [26] |
Mozumder C, Tovar A, Renaud J E. 2009. Topology design of plastically deformable structures with a controlled energy absorption for prescribed force and displacement response//8th World Congress on Structural and Multidisciplinary Optimization, Lisbon, Portugal, 1-10.
|
| [27] |
Ngoc N M, Hoang V-N, Lee D. 2022. Concurrent topology optimization of coated structure for non-homogeneous materials under buckling criteria. Engineering with Computers, 38: 5635-5656. doi: 10.1007/s00366-022-01718-2
|
| [28] |
Nguyen M-N, Hoang V-N, Lee D. 2023. Multiscale topology optimization with stress, buckling and dynamic constraints using adaptive geometric components. Thin-Walled Structures, 183: 110405. doi: 10.1016/j.tws.2022.110405
|
| [29] |
Niu B, Wadbro E. 2021. Multiscale design of coated structures with periodic uniform infill for vibration suppression. Computers & Structures, 255: 106622. doi: 10.1016/j.compstruc.2021.106622
|
| [30] |
Park G J, Kang B S. 2003. Validation of a structural optimization algorithm transforming dynamic loads into equivalent static loads. Journal of Optimization Theory and Applications, 118: 191-200. doi: 10.1023/A:1024799727258
|
| [31] |
Patel N M, Kang B-S, Renaud J E, et al. 2009. Crashworthiness design using topology optimization. Journal of Mechanical Design, 131: 061013. doi: 10.1115/1.3116256
|
| [32] |
Pedersen C B W. 2003. Topology optimization design of crushed 2D-frames for desired energy absorption history. Structural and Multidisciplinary Optimization, 25: 368-382. doi: 10.1007/s00158-003-0282-y
|
| [33] |
Svanberg K. 1987. The method of moving asymptotes—A new method for structural optimization. International Journal for Numerical Methods in Engineering, 24: 359-373. doi: 10.1002/nme.1620240207
|
| [34] |
Ting T C. 1996. Anisotropic elasticity: Theory and applications. Oxford University Press.
|
| [35] |
Torstenfelt B, Klarbring A. 2007. Conceptual optimal design of modular car product families using simultaneous size, shape and topology optimization. Finite Elements in Analysis and Design, 43: 1050-1061. doi: 10.1016/j.finel.2007.06.005
|
| [36] |
Wang J, Zhu J, Liu T, et al. 2023. Topology optimization of gradient lattice structure under harmonic load based on multiscale finite element method. Structural and Multidisciplinary Optimization, 66: 202-232. doi: 10.1007/s00158-023-03652-3
|
| [37] |
Wu J, Sigmund O, Groen J P. 2021. Topology optimization of multi-scale structures: A review. Structural and Multidisciplinary Optimization, 63: 1455-1480. doi: 10.1007/s00158-021-02881-8
|
| [38] |
Zeng D, Duddeck F. 2017. Improved hybrid cellular automata for crashworthiness optimization of thin-walled structures. Structural and Multidisciplinary Optimization, 56: 101-115. doi: 10.1007/s00158-017-1650-3
|
| [39] |
Zhao J, Yoon H, Youn B D. 2019. An efficient concurrent topology optimization approach for frequency response problems. Computer Methods in Applied Mechanics and Engineering, 347: 700-734. doi: 10.1016/j.cma.2019.01.004
|