关键词: 双向插值模式, 拓扑优化, 空间扩张, 变密度法, 工程结构设计

Abstract: In the traditional topology optimization,aiming at the problem that the solving scale would be increased caused by unidirectional processing for middle density elements and the oversized initial design domain,a spatial expansion topological optimization based on Bi-Directional Interpolation Model (BDIM) was presented.The mathematical model of BDIM was established,and the spatial expansion strategy was constructed based on boundary element sensitivity.A method to decrease the solving scale of spatial expansion topological optimization was proposed,and the numerical examples were presented to demonstrate its feasibility.The numerical results indicated that BDIM only for sensitivity was more global than BDIM for sensitivity and rigidity,included the traditional Solid Isotropic Microstructures with Penalization (SIMP) model.It could get a clear boundary optimization result without filtering,and also had a smaller objective design value and less iteration.Spatial expansion topological optimization was significant for actual engineering structure design in the limited space.

Key words: bi-directional interpolation model, topological optimization, spatial expansion, variable density method, engineering structure design