拓扑优化方法
最初的方法:离散变量
固体各向同性材料与惩罚(Solid Isotropic Material with Penalization, SIMP)
启发式的进化结构优化(Evolutionary Structural Optimization, ESO)
水平集方法(Level-Set Method, LSM)
特征驱动优化方法(Feature-driven optimization method, FDO)
其他
参考文献
- Meng L, Zhang W, Quan D, et al. From topology optimization design to additive manufacturing: Today’s success and tomorrow’s roadmap[J]. Archives of Computational Methods in Engineering, 2020, 27: 805-830.
- Kohn RV, Strang G (1986) Optimal design and relaxation of variational problems, i. Commun Pure Appl Math 39(1):113
- Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):193
- Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49(5):885
- Zhu J, Zhao Y, Zhang W, Gu X, Gao T, Kong J, Shi G, Xu Y, Quan D (2019) Bio-inspired feature-driven topology optimization for rudder structure design. Eng Sci.
- Zhou Y, Zhang W, Zhu J, Xu Z (2016) Feature-driven topology optimization method with signed distance function. Comput Methods Appl Mech Eng 310:1
- Sokołowski J, Żochowski A (2001) Encyclopedia of optimization, Springer, pp 2625–2626
- Bourdin B, Chambolle A (2003) Design-dependent loads in topology optimization, ESAIM: control. Optim Calc Var 9:19
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