| Citation: | FU J J，XU Y，ZHOU X M，et al. Topological optimization method for conformal cellular structures on surfaces based on co-simulation[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（9）：2781-2790 （in Chinese） doi: 10.13700/j.bh.1001-5965.2022.0751
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The optimization design for structures with surface is challenging due to the mismatch between cellular unit cell configuration and the design domain shape. Thus, a topological optimization design method for conformal cellular structures on surfaces based on co-simulation is proposed. The parametric modelling of cellular structures is achieved by utilising the implicit level set functions derived from triply periodic minimal surfaces. By using the isoparametric element method, the mapping relationship between the natural coordinate system and the cartesian coordinate is established to realize the conformal modeling of the cellular structures on surfaces. A linear interpolation function is constructed to ensure the C0 continuity of the cellular unit cell. An optimization framework for cellular structures is built by combining MATLAB and ANSYS with the use of variable cutting level set functions.Numerical examples show that this method can effectively realize the topological optimization design of cellular structures on surfaces. The method also ensures the matching of the cellular structures unit cell with the shape of the design domain, and improves the mechanical properties of the cellular structures.
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