面向增材制造的自支撑结构拓扑优化设计

Topology Optimization Design of Self-Supporting Structure for Additive Manufacturing

将结构拓扑优化与增材制造技术相结合是实现创新结构设计的有效途径。但增材制造工艺需要额外的支撑结构,浪费打印材料,也降低了加工效率。这里基于浮动映射的拓扑优化方法(Floating Projection Topology Optimization,FPTO),提出一种面向3D打印的简单高效的自支撑拓扑优化方法,采用变角度楔形支撑域,判断单元有无支撑,通过松弛悬垂角约束,逐渐删除无支撑单元,实现了任意悬垂角约束的自支撑拓扑优化设计。数值算例和3D打印结果证明了所提出的拓扑优化方法的有效性,提高了拓扑优化结果的可制造性.

It is an effective way to achieve structural innovation design by combining topology optimization and additive manufac⁃turing(AM)technology.However,a main deficiency in the AM processing is that additional support structures are required,which will inevitably lead to waste of printing material and inefficient processing.It a simple and efficient self-supporting topol⁃ogy optimization method for additive manufacturing is proposed based on the Floating Projection Topology Optimization(FPTO).A wedge-shaped supporting area with adjustable angle is adopted to judge whether the element of interest is sufficiently supported.Through relaxing the overhang angle constraint progressively and deleting the unsupported elements gradually,the to⁃pology optimization design of self-supporting with arbitrary overhang angle is achieved.Numerical examples and 3D printed samples demonstrate the effectiveness of the proposed topology optimization method,which improves the manufacturability of the topology optimization results.