Mathematical Physics

   

Structural Optimization by Using the Stiffness Homogenization

Authors: Yongsop Ri, Namhyok Ri, Jonggwang Pak, Iljin Kim, Zhihua Chen –Department of Mechanics Enineering, Kim Il Sung University, Pyongyang, DPR of Korea - School of Civil Engineering, Tianjin University, Tianjin 300072, PR of Chi

The topology optimization using the homogenization method is to find optimal layout of microstructures which satisfies design demand in the neighborhood of an arbitrary point in a given design domain. The homogenization approach is to compute proper mechanical properties of those microstructures in terms of integral averaging by accepting the periodicity assumption and characteristic function. In this paper, we described a stiffness homogenization theory that is able to avoid the complication of the homogenization approach and reduce the computation cost by considering the topology optimization process in consistence with the finite element analysis. The method can be applied more flexibly to individual or simultaneous optimization of the topology, shape, size and material layout. We discussed a stiffness homogenization during meshing the space structure with different kinds of elements in detail. An optimal criterion for the minimum weight design problem, as one of typical optimization design problems, was derived and the computational algorithm was presented. Numerical results of an example were compared with previous methods, which show the validation of the method.

Comments: 21 Pages.

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Submission history

[v1] 2018-02-21 18:46:48

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