PSI - Issue 33

Boris Fedulov et al. / Procedia Structural Integrity 33 (2021) 843–849 Fedulov B.N., Fedorenko A.N. / Structural Integrity Procedia 00 (2019) 000–000

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3.2. 3D example Three dimensional finite element model has 96000 eight-nodes reduced integration elements. All bottom edges are fixed. Bottom surface has applied unite pressure (Fig. 3). As a density restriction, similar to 2D case, a 20% of initial volume has been used.

Fig. 3. Initial optimization volume and boundary conditions (3D)

Fig. 4. Result of optimization (3D) Fig. 4 show the result of optimization with parameter on a fringe. Optimized structure has the same idea of reinforcements as a 2D case, it has bowed bar with small eight almost vertical beams. However, middle part is quite different, having the same idea all elements much lighter. Fig.5 shows middle cut of the result where one can see difference in central and outer stiff elements. Fig. 6 shows middle cut with front view, where possible to see that almost all vertical stiff elements have about 20ᵒ angle to vertical axis, what also differs 3D structure from 2D case.