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Mathematical modelling of multiple pulsed laser percussion drilling

机译:多脉冲激光冲击钻孔的数学建模

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摘要

In laser percussion drilling, a series of laser pulses with specified energies and durations irradiate the workpiece surface to gradually heat, melt, and vaporise material until a hole with-required depth-and-diameter-is-achieved. Despite being the quickest technique for producing small diameter holes, laser percussion drilling regularly suffers from difficulties in controlling the hole quality such as hole circularity, hole taper and recast layer. Therefore, in order to produce holes to a specific requirement at minimum cost and time, it is crucial to fully understand the effects of each parameter on hole quality. In this research, a new mathematical model for multiple pulsed laser drilling is developed to predict the hole depth, hole taper, and recast layer thickness, and to investigate the effects of key laser parameters on hole dimensions. The new model accounts for recoil pressure, melt ejection, O2 assist gas effects, as well as solidification of the melt. The development of-the new model is divided into two stages; pulse on stage where interaction between laser beam-material takes place, and pulse off stage where solidification of the melt is modelled. Governing equations are established from heat conduction, energy, and mass equations at the solid-liquid and liquid-vapour interfaces with appropriate boundary and initial conditions. Analytical solutions are derived by using Mathematica 7 software as a tool to solve the system of non-linear equations. To validate the model, experimental work has been conducted and the measured results are compared to those calculated from the model. It is shown that the new model gives a good prediction of the hole depth and acceptable prediction of the recast layer thickness. Laser peak power and pulse width are shown to have a significant influence over the drilled hole quality whereas the changes due to pulse frequency are less pronounced.
机译:在激光冲击钻中,一系列具有特定能量和持续时间的激光脉冲会照射工件表面,以逐渐加热,熔化和汽化材料,直到获得具有所需深度和直径的孔为止。尽管是生产小直径孔的最快技术,但是激光冲击钻通常在控制孔质量方面遇到困难,例如孔的圆度,孔锥度和重铸层。因此,为了以最小的成本和时间生产出满足特定要求的孔,至关重要的是要充分了解每个参数对孔质量的影响。在这项研究中,开发了一种用于多脉冲激光钻孔的新数学模型,以预测孔深,孔锥度和重铸层厚度,并研究关键激光参数对孔尺寸的影响。新模型考虑了反冲压力,熔体喷射,O2辅助气体效应以及熔体凝固。新模型的开发分为两个阶段:在激光束与材料之间发生相互作用的阶段是脉冲;在熔体的凝固过程是模拟的,在脉冲后阶段是脉冲。根据具有适当边界和初始条件的固-液和液-气界面处的热传导,能量和质量方程建立控制方程。通过使用Mathematica 7软件作为求解非线性方程组的工具来导出解析解。为了验证模型,已进行了实验工作,并将测量结果与从模型计算得出的结果进行了比较。结果表明,新模型可以很好地预测孔深,并可以预测重铸层的厚度。激光峰值功率和脉冲宽度显示出对钻孔质量的显着影响,而脉冲频率引起的变化则不太明显。

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