Topology Optimization for Structural Fundamental Frequency Based on Dynamic Design Domain
The phenomenon of localized modes often occurs in the traditional topology optimization for structural fundamental frequency based on the density method.In this paper,the solid material region is extracted according to the solid material threshold,and finite element analysis is limited to the solid material to avoid the appearance of localized modes.The virtual boundary of the solid material is extended by the expansion operator of graphics;the sensitivity of the solid material is extended to the virtual boundary by the filter;and the reproduction of the removed material is realized according to the sensitivity.The dynamic design domain is composed of solid material and virtual boundary,and the design domain and finite element model are reconstructed dynamically according to the background grid information in the iterative process.In addition,unstable structures such as islands and non-manifold points that may appear in the optimization process are identified and removed from the solid material by fire-burning method to stabilize the optimization process.The proposed method is integrated into the COMSOL software,and several numerical examples demonstrate the effectiveness of the proposed method.The results show that the proposed method can effectively avoid the localized modes and obtain a stable convergence solution.
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