The linear inverse problem in energy beam processing with an application to abrasive waterjet machining
The linear inverse problem in energy beam processing with an application to abrasive waterjet machining
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DOI：
10.1016/j.ijmachtools.2015.09.006
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发表时间：
2015-12-01
影响因子：
14
通讯作者：
Billingham, J.
中科院分区：
文献类型：
--
作者：
Guillerna, A. Bilbao;Axinte, D.;Billingham, J.
本文研究了能量束加工的线性逆问题，其中已知所需的蚀刻轮廓，并且必须找到将创建它的束的轨迹。作为一个例子，磨料水射流加工（AWN）被认为是在这里支持广泛的实验研究。该过程的行为可以使用线性模型来描述，当射流和表面之间的角度在该过程期间近似恒定时，如对于浅蚀刻轮廓所发生的那样。逆问题通常通过简单地控制与所需铣削深度成比例的停留时间来解决，而不考虑目标表面是否实际上可以被蚀刻。为了解决这个问题，傅立叶分析被用来表明，由于射流的几何形状和机器的动态特性，目标表面中的高频分量不能被蚀刻。在本文中，该频域分析用于改进目标轮廓的选择，以使其可以被蚀刻。机器的动态特性对射流的实际运动也有很大的影响。很难描述这种效应，因为机器的控制器通常是未知的。一个简单的近似值用于选择阶梯轮廓的斜率。减小了期望轨迹与真实的轨迹之间的跟踪误差，改善了蚀刻轮廓。几个实验测试表明这种方法的实用性。最后，对线性模型的局限性进行了研究。(C)2015作者爱思唯尔有限公司出版
The linear inverse problem for energy beam processing, in which a desired etched profile is known and a trajectory of the beam that will create it must be found, is studied in this paper. As an example, abrasive waterjet machining (AWN) is considered here supported by extensive experimental investigations. The behaviour of this process can be described using a linear model when the angle between the jet and the surface is approximately constant during the process, as occurs for shallow etched profiles. The inverse problem is usually solved by simply controlling dwell time in proportion to the required depth of milling, without considering whether the target surface can actually be etched. To address this, a Fourier analysis Is used to show that high frequency components in the target surface cannot be etched due to the geometry of the jet and the dynamics of the machine. In this paper, this frequency domain analysis is used to improve the choice of the target profile in such a way that it can be etched. The dynamics of the machine also have a large influence on the actual movement of the jet. It is very difficult to describe this effect because the controller of the machine is usually unknown. A simple approximation is used for the choice of the slope of a step profile. The tracking error between the desired trajectory and the real one is reduced and the etched profile is improved. Several experimental tests are presented to show the usefulness of this approach. Finally, the limitations of the linear model are studied. (C) 2015 The Authors. Published by Elsevier Ltd.