隨著傳統製造技術成熟許久，積層製造(Additive Manufacturing，AM)的出現，被視為技術的新里程碑，突破過去大眾所熟知的加工方式與思維。積層製造透過材料層層堆疊的方式完成加工，不再像過去只侷限於產品外觀進行製作，積層製造技術讓產品內部結構也能夠完整呈現。由於積層製造的特色是逐層堆疊材料，加工過程中，必須使用支撐結構為鏤空與懸空部分提供支撐。但支撐件結構的生成，不僅增加製作的時間，也增加材料的使用，因此支撐件結構的設計是積層製造的一個重要課題。
目前商用軟體，所生成之支撐件結構外觀普遍為格狀、片狀或是樹枝狀。格狀與片狀的支撐結構較為穩固，樹枝狀則較容易拆除；但是在製作過程中，前者使用大量材料，後者因為結構不穩，容易導致失敗。
本文導入拓樸最佳化於支撐件結構設計，將建立好的支撐件模型與成品合併後，結合商用軟體之切層路徑，決定負載之分布位置，並限制工件與支撐結構的接觸面積。接著將目標設定為體積最小化，並應用四元樹方法判斷支撐件結構的可製造性，以確保支撐件可以完成製作。
最後，透過真實案例做方法驗證，分別將商用軟體與本研究所提出之方法進行比較，從結果得知，藉由拓樸結構優化之成品，可節省17.8%的製作時間與83.59%的材料，減少工件與支撐之接觸面積95.93%，證實本文方法可達到支撐件輕量化與節省製作時間。

With the maturity of traditional manufacturing technology, the emergence of Additive Manufacturing (AM) is regarded as a new milestone in manufacturing technology. The layered manufacturing process is completed by stacking the layers of materials. It is no longer limited to the appearance of the product but the internal structure. Since the manufacturing process is stacking materials layer by layer, the support structure must be used for providing support for the hollow or overhang of the model. However, the support structure not only increases the production time, but also increases the use of materials. Therefore, the design of the support structure is an important issue in Additive Manufacturing.
This study introduces the topology optimization for the design of support structure. After combining the established support model with the product, and observing the printing path in the commercial software, the position of distribution load can be determined. By minimizing the contact area between the workpiece and the support structure, and using the Quad-tree method to determine the formability, the support structure can be completed.
Finally, applied the method proposed by this thesis institute to the real case, and compared with the commercial software. The product optimized by the topology can save 17.8% of the production time and 83.59% of the material. The contact area between the workpiece and the support reduced 95.93%, which proved that the method can achieve weight reduction of the support and save production time.

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