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Numerical and practical experiments for maximally stiff structure under tensile loading based on the topology optimization theory and the FEM

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IASS Annual Symposium 2019 – Structural Membranes 2019 Form and Force 7 – 10 October 2019, Barcelona, Spain

Numerical and practical experiments for maximally stiff structure under tensile loading based on the topology optimization theory

and the FEM

Takahiko KURAHASHI*, Kenta Yoshihara a , Masanari Kobayashi b

*Department of Mechanical Engineering, Nagaoka University of Technology 1603-1 Kamitomioka-machi, Nagaoka-shi, Niigata 940-2188, Japan

[email protected]

a Department of Mechanical Engineering, Graduate school of Nagaoka University of Technology

b Oiles Cooperation

Abstract

In this study, numerical studies for a maximally stiff structure based on the topology optimization theory, i.e., the density method and the adjoint variable method, and the finite element method (FEM) are carried out [1], and the result of some actual tensile tests for the optimized structure is shown. Although papers related to research on the topology optimization and experiments can be seen [2], it is difficult to find research papers that have considered the weight reduction based on the topology optimization and experiments. Therefore, in this study, the specimens for tensile testing are made using 3D printer, and the thickness of the optimized model is also investigated, assuming the displacement of the optimized model to be the same as that of the initial model. In addition, the numerical results by changing filtering radius are shown [3] (See Fig.1).

Fig.1 : Comparison of optimized structures, i.e., density distribution, in each filtering radius “R”. (Left R=0.75mm, Middle R=1.50mm, Right R=2.50mm) This is the result of 1/4 model in tensile loading test.

1MPa is acting on upper surface, and the symmetric surface is set on lines of x=0mm and y=0mm.

References

[1] S. Nishiwaki, K. Izui and N. Kikuchi, “Topology optimization (in Japanese)”, Maruzen, Tokyo, 2013.

[2] Y. Saadlaoui, J. L.Milan, J. M. Rossi and P. Chabrand, “Topology optimization and additive manufacturing: Comparison of conception methods using industrial codes”, J. Manuf. Syst., Vol.43 2017, pp.178–186.

[3] O. Sigmud, “On the design of compliant mechanisms using topology optimization”, Mech. Struct.

Mach., Vol. 25, 1997, pp.493-524.

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