带可达性约束的多轴加工拓扑优化
Topology Optimization with Accessibility Constraint for Multi-Axis Machining
摘要：
在本文中，我们提出了一个拓扑优化（TO）框架，使机械部件的自动化设计，同时确保结果可以使用多轴加工制造。虽然TO提高了零件的性能，但设计模型通常在几何上过于复杂而无法加工，并且由于TO期间未考虑的加工约束，制造模型可能会发生显著变化。换句话说，许多优化的设计特征不能被机床在不与零件（或夹具）碰撞的情况下访问。随后的后处理使零件可使用给定的设置进行加工，需要反复试验，而不能保证保持优化的性能。我们提出的方法是基于完善的可访问性分析公式，使用卷积配置空间，广泛用于空间规划和机器人。我们定义了一个“不可达性测量字段”（IMF）的设计域，以确定非可制造的功能，并量化其贡献的非可制造性。IMF用于惩罚绩效目标和约束的敏感性领域，以防止形成不可达区域。与现有的离散配方，我们的国际货币基金组织提供了一个连续的空间领域，是理想的TO收敛。我们的方法适用于任意几何复杂的部分，工具和夹具，是高度并行化的多核架构。我们证明了我们的框架在基准和现实的例子在2D和3D的有效性。我们还表明，它是可以直接构造制造计划的优化设计的基础上的可访问性信息。
英文摘要：
In this paper, we present a topology optimization (TO) framework to enable automated design of mechanical components while ensuring the result can be manufactured using multi-axis machining. Although TO improves the part's performance, the as-designed model is often geometrically too complex to be machined and the as-manufactured model can significantly vary due to machining constraints that are not accounted for during TO. In other words, many of the optimized design features cannot be accessed by a machine tool without colliding with the part (or fixtures). The subsequent post-processing to make the part machinable with the given setup requires trial-and-error without guarantees on preserving the optimized performance. Our proposed approach is based on the well-established accessibility analysis formulation using convolutions in configuration space that is extensively used in spatial planning and robotics. We define an 'inaccessibility measure field' (IMF) over the design domain to identify non-manufacturable features and quantify their contribution to non-manufacturability. The IMF is used to penalize the sensitivity field of performance objectives and constraints to prevent formation of inaccessible regions. Unlike existing discrete formulations, our IMF provides a continuous spatial field that is desirable for TO convergence. Our approach applies to arbitrary geometric complexity of the part, tools, and fixtures, and is highly parallelizable on multi-core architecture. We demonstrate the effectiveness of our framework on benchmark and realistic examples in 2D and 3D. We also show that it is possible to directly construct manufacturing plans for the optimized designs based on the accessibility information.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
