Comprehensive study on fail-safe topological design method for 3D structures
王洪鑫 1廖宇君 2文桂林 3陈亮亮 1刘杰3
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作者信息
1. Center for Research on Leading Technology of Special Equipment,School of Mechanical and Electric Engineering,Guangzhou University,Guangzhou 510006,China
2. Department of Rehabilitation Medicine,The Fifth Affiliated Hospital of Guangzhou Medical University,Guangzhou 510735,China
3. Hebei Innovation Center for Equipment Lightweight Design and Manufacturing,School of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China
Fail-safe topology optimization is valuable for ensuring that optimized structures remain operable even under damaged conditions.By selectively removing material stiffness in patches with a fixed shape,the complex phenomenon of local failure is modeled in fail-safe topology optimization.In this work,we first conduct a comprehensive study to explore the impact of patch size,shape,and distribution on the robustness of fail-safe designs.The findings suggest that larger sizes and finer distribution of material patches can yield more robust fail-safe structures.However,a finer patch distribution can significantly increase computational costs,particularly for 3D structures.To keep computational efforts tractable,an efficient fail-safe topology optimization approach is established based on the framework of multi-resolution topology optimization(MTOP).Within the MTOP framework,the extended finite element method is introduced to establish a decoupling connection between the analysis mesh and the topology description model.Numerical examples demonstrate that the developed methodology is 2 times faster for 2D problems and over 25 times faster for 3D problems than traditional fail-safe topology optimization while maintaining similar levels of robustness.