Modelling and stability analysis for melt flows in laser cutting

在本研究项目中，将开发一个激光切割模型。该模型描述了熔体流动，将研究其稳定性与工艺参数的关系。作为本研究项目的一个目的，从稳定性分析中获得的条件提供了工艺参数与动态工艺状态之间的联系，即，对于高质量或低质量的切割，特别是参数域。研究的参数包括激光辐射的波长和强度分布、材料状态、切割速度以及切割气体诱导的熔体流动驱动力。为了了解发生量的影响，该模型被分层次地发展，并在每种情况下检查其稳定性。

In this research project a model for laser cutting will be developed. The model describes the melt flow which will be investigated for stability in dependence to the parameters of the process. The conditions gained from the stability analysis deliver, as an aim of this research project, a connection between process parameters and the dynamic process state, i. e. in particular parameter domains for a cut with high or low quality. The investigated parameters are the wavelength and intensity distribution of the laser radiation, the material state, the cutting velocity as well as the melt flow driving forces induced by the cutting gas. To understand the influence of the occuring quantities, the model is developed hierarchically and examined in each case for stability.