A Novel Mathematical Formulation for Density-based Topology Optimization Method Considering Multi-Axis Machining Constraint [article]

Hao Deng, Albert C. To
2021 arXiv   pre-print
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
more » ... 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.
arXiv:2107.04017v2 fatcat:vke4r5ga7ra6pebgoyg5pelofa