This paper aims to explore the effects of optimisation parameters (the filter radius, mesh size, and target volume fraction) on the compliance and manufacturability of smooth self-supporting topologies for additive manufacturing (AM); and conduct manufacturability experiments of selected simulation results with the Selective Laser Melting (SLM) technology. In this study, smooth self-supporting topologies are obtained with a combined method of the Solid Isotropic Microstructure with Penalization method (SIMP) with the smooth boundary representation and Langelaar's AM filter. Numerical examples illustrate that a higher filter radius can lead to simpler smooth self-supporting topologies, but curved top corners that violate the critical overhang angle of 45° are inevitably generated. Additionally, the mesh size is found to be not as an important factor as the filter radius in affecting the manufacturability and performance. As a result of the self-supporting constraint, a small volume fraction can easily result in structural discontinuity. The experimental results demonstrate that the self-supporting topologies obtained are all printable in SLM.

本文旨在探讨优化参数（过滤器半径，筛孔尺寸和目标体积分数）对增材制造（AM）的平滑自支撑拓扑的顺应性和可制造性的影响；并使用选择性激光熔化（SLM）技术进行选定模拟结果的可制造性实验。在这项研究中，通过使用具有光滑边界表示法和Langelaar AM滤波器的惩罚性固溶各向同性微结构（SIMP）的组合方法，获得了光滑的自支撑拓扑。数值示例表明，较高的过滤器半径可以导致更简单的平滑自支撑拓扑，但是不可避免地会产生违反45°临界悬垂角的弯曲顶角。另外，发现网眼尺寸不是影响过滤器可制造性和性能的重要因素。由于自支撑的约束，较小的体积分数很容易导致结构不连续。实验结果表明，获得的自支持拓扑都可以在SLM中打印。