A support structure is required to successfully create structural parts in the powder bed fusion process for additive manufacturing. In this study, we present the topology optimization of a support structure that improves the heat dissipation in the building process. First, we construct a numerical method that obtains the temperature field in the building process, represented by the transient heat conduction phenomenon with the volume heat flux. Next, we formulate an optimization problem for maximizing heat dissipation and develop an optimization algorithm that incorporates a level-set-based topology optimization. A sensitivity of the objective function is derived using the adjoint variable method. Finally, several numerical examples are provided to demonstrate the effectiveness and validity of the proposed method.

在增材制造的粉末床融合工艺中成功地制造结构部件需要一个支撑结构。在这项研究中，我们提出了一种支撑结构的拓扑优化，以改善建筑过程中的散热。首先，我们构建了一种数值方法，以获取建筑过程中的温度场，以具有体积热通量的瞬态热传导现象为代表。接下来，我们制定了一个最大化散热的优化问题，并开发了一种包含基于水平集的拓扑优化的优化算法。使用伴随变量法导出目标函数的灵敏度。最后，提供了几个数值例子来证明所提出方法的有效性和有效性。