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Numerical and practical experiments for maximally stiff structure based on the topology optimization theory and the FEM. (English) Zbl 1409.74048
Summary: In this study, numerical studies for a maximally stiff structure based on the topology optimization theory and the FEM are carried out, and the result of several practical tensile tests for the optimized structure was shown. The specimens for tensile testing were made using 3D printer. The numerical studies included filtering radius based examination. The thickness of the optimized model was also investigated, assuming the displacement of the optimized model to be the same as that of the initial model.
MSC:
74S05 Finite element methods applied to problems in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
49Q12 Sensitivity analysis for optimization problems on manifolds
74P15 Topological methods for optimization problems in solid mechanics
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[1] M. P. Bendsoe; N. Kikuchi, Generating optimal topologies in structural design using a homogenization method, Comput. Methods Appl. Mech. Engrg., 71, 197-224, (1988) · Zbl 0671.73065
[2] K. Suzuki; N. Kikuchi, A homogenization method for shale and topology optimization, Comput. Methods Appl. Mech. Engrg., 93, 291-318, (1991) · Zbl 0850.73195
[3] D. Fujii; B. C. Chen; N. Kikuchi, Composite material design of two-dimensional structures using the homogenization design method, Internat. J. Numer. Methods Engrg., 50, 2031-2051, (2000) · Zbl 0994.74055
[4] M. P. Bendsoe and O. Sigmud, Topology Optimization: Theory, Methods and Applications, Springer, Berlin, 2003.
[5] B. Taylor, J. Zeinalov and I. Y. Kim, Topology optimization of large scale turbine engine bracket assembly with additive manufacturing considerations, in: Proc. of WCSMO12, A. Schumacher et al., Advances in Structural and Multidisciplinary Optimization, pp. 1211-1223, Springer, 2017.
[6] M. Hoffarth, N. Grezen and C. Pedersen, ALM overhang constraint in topology optimization for industrial applications, in: Proc. of WCSMO12, pp. 1-11, 2017.
[7] E. V. D. Ven, C. Ayas, M. Langelaar, R. Maas and F. V. Keulen, A PDE-based approach to constrain the minimum overhang angle in topology optimization for additive manufacturing, in: Proc. of WCSMO12, A. Schumacher et al., Advances in Structural and Multidisciplinary Optimization, pp. 1185-1199, Springer, 2017.
[8] H. Wang; J. Liu; X. Qian; X. Fan; G. Wen, Continuum structural layout in consideration of the balance of the safety and the properties of structures, Lat. Am. j. solids struct., 14, 1143-1169, (2017)
[9] Y. Saadlaoui; J. L. Milan; J. M. Rossi; P. Chabrand, Topology optimization and additive manufacturing: Comparison of conception methods using industrial codes, J. Manuf. Syst., 43, 178-186, (2017)
[10] O. Sigmud, On the design of compliant mechanisms using topology optimization, J. Manuf. Syst., 25, 493-524, (1997)
[11] M. Y. Wang, S. Y. Wang and K. M. Lim, A density filtering approach for topology optimization, in: Proc. of WCSMO7, pp. 1-10, 2007.
[12] S. Nishiwaki, K. Izui and N. Kikuchi, Topology optimization (in Japanese), Maruzen, Tokyo, 2013.
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