Three-dimensional stress-based topology optimization using SIMP method

被引：10

作者：

Gebremedhen H.S. ^{[1
]}

Woldemicahel D.E. ^{[2
]}

Hashim F.M. ^{[3
]}

机构：

[1] Bahir Dar Institute of Technology, Bahir Dar

[2] Addis Ababa Institute of Technology, Addis Ababa

[3] Universiti Teknologi PETRONAS, Perak

来源：

International Journal for Simulation and Multidisciplinary Design Optimization | 2019年 / 10卷

关键词：

3D modeling; FEA; Stress constraints; Topology optimization;

D O I：

10.1051/smdo/2019005

中图分类号：

学科分类号：

摘要：

Structural topology optimization problems have been formulated and solved to minimize either compliance or weight of a design domain under volume or stress constraints. The introduction of three-dimensional analysis is a more realistic approach to many applications in industry and research, but most of the developments in stress-based topology optimization are two-dimensional. This article presents an extension of two-dimensional stress-based topology optimization into three-dimensional using SIMP method. The article includes a mathematical model for three-dimensional stress-based topology optimization problems and sensitivity analysis. The article also includes finite element analysis used to compute stress induced in the design domains. The developed model is validated using benchmark problems and the results are compared with three-dimensional compliance-based formulation. From the results, it was clear that the developed model can generate optimal topologies that can sustain applied loads under the boundary conditions defined. © 2019 H.S. Gebremedhen et al.

引用

共 27 条

[1]

Rozvany G.I.N., Zhou M., Birker T., Generalized shape optimization without homogenization, Struct. Optim., 4, pp. 250-252, (1992)

[2]

Bendsoe M.P., Optimal shape design as a material distribution problem, Struct. Optim., 1, pp. 193-202, (1989)

[3]

Suzuki K., Kikuchi N., Homogenization method for shape and topology optimization, Comput. Methods Appl. Mech. Eng., 93, pp. 291-318, (1991)

[4]

Suzuki K., Kikuchi N., A homogenization method for shape and topology optimization, Comput. Methods Appl. Mech. Eng., 93, pp. 291-318, (1989)

[5]

Guo X., Et al., Stress-related topology optimization via level set approach, Comput.Methods Appl. Mech. Eng., 200, pp. 3439-3452, (2011)

[6]

Xia Q., Et al., Alevel set solution to the stress-based structural shape and topology optimization, Comput. Struct., 90, pp. 55-64, (2012)

[7]

Xie Y.M., Huang X., Recent developments in evolutionary structural optimization (ESO) for continuum structures, IOP Conf. Ser. Mater. Sci. Eng., 10, (2010)

[8]

Xie Y.M., Steven G.P., Evolutionary Structural Optimization, (1997)

[9]

Li Y., Et al., Bi-directional evolutionary structural optimization for design of compliant mechanisms, Key Eng. Mater., 535-536, pp. 373-376, (2013)

[10]

Querin O.M., Steven G.P., Xie Y.M., Evolutionary structural optimisation (ESO) using a bidirectional algorithm, Eng. Comput., 15, pp. 1031-1048, (1998)

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