论文标题
拓扑优化考虑添加剂制造中的失真
Topology optimization considering the distortion in additive manufacturing
论文作者
论文摘要
添加剂制造是一种自由形式的制造技术，其中零件以逐层的方式构建。激光粉床融合是用于制造金属零件的流行技术之一。但是，它在制造过程中引起残留应力和失真，从而不利地影响了制成部分的机械性能和尺寸精度。因此，预测和避免残留应力和失真是关键问题。在这项研究中，我们提出了一种解释失真的拓扑优化方法。首先，我们为增材制造提供了一种计算廉价的分析模型，该模型使用激光粉末床融合并提出了优化问题。接下来，我们使用伴随变量方法近似目标函数的拓扑导数，然后通过时间进化反应扩散方程来更新级别集合函数。最后，使用二维设计示例建立了所提出的优化方法的有效性和有效性。
Additive manufacturing is a free-form manufacturing technique in which parts are built in a layer-by-layer manner. Laser powder bed fusion is one of the popular techniques used to fabricate metal parts. However, it induces residual stress and distortion during fabrication that adversely affects the mechanical properties and dimensional accuracy of the manufactured parts. Therefore, predicting and avoiding the residual stress and distortion are critical issues. In this study, we propose a topology optimization method that accounts for the distortion. First, we propose a computationally inexpensive analytical model for additive manufacturing that uses laser powder bed fusion and formulated an optimization problem. Next, we approximate the topological derivative of the objective function using an adjoint variable method that is then utilized to update the level set function via a time evolutionary reaction-diffusion equation. Finally, the validity and effectiveness of the proposed optimization method was established using two-dimensional design examples.
