考虑多轴加工约束的基于密度的拓扑最优化方法
A Novel Mathematical Formulation for Density-based Topology Optimization Method Considering Multi-Axis Machining Constraint
摘要：
提出了一种考虑多轴加工工艺约束的基于密度的结构设计方法。提出了一种基于赫维赛德函数的新的数学公式，将设计域转化为可通过多轴加工工艺制造的几何体。该公式适用于5轴加工，也适用于2.5维铣削约束。采用滤波技术有效地控制了空区的最小尺寸。所提出的方法是通过解决不同的可加工的自由形式设计的顺应性最小化问题。几个二维和三维的数值例子，并详细讨论。
英文摘要：
This paper proposes a novel density-based method for structural design considering restrictions of multi-axis machining processes. A new mathematical formulation based on Heaviside function is presented to transform the design field into a geometry which can be manufactured by multi-axis machining process. The formulation is developed for 5-axis machining, which can be also applied to 2.5D milling restriction. The filter techniques are incorporated to effectively control the minimum size of void region. The proposed method is demonstrated by solving the compliance minimization problem for different machinable freeform designs. Several two and three-dimensional numerical examples are presented and discussed in detail.
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