Eigenvalue topology optimization of periodic cellular structures
FU Junjian1,2, ZHANG Yue2, DU Yixian1,2, GAO Liang3
1. Hubei Key Laboratory of Hydroelectric Machinery Design & Maintenace, Yichang 443002, China;
2. College of Mechanical & Power Engineering, China Three Gorges University, Yichang 443002, China;
3. State Key Lab of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China
To realize the vibration isolation performance optimization of scale-related periodic cellular structures, this paper proposed an eigenvalue topology optimization method of periodic cellular structures. The stiffness matrix and mass matrix of the cellular structures are reduced based on the substructural dynamic condensation method. Local level set functions are applied to implicitly describe the geometry of the cellular structures. The topology optimization model of periodic cellular structures is established to maximize the first 6 eigenvalues with volume fraction as the constraint. The topology optimization model is then solved by the optimality criteria method. The scale effect of the topology optimization of cellular structures is also investigated. Research shows that the proposed method can effectively realize the topology optimization of scale-related 2D and 3D periodic cellular structures. The computational efficiency of the eigenvalue topology optimization is also improved intensively.
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