Taking full advantage of what laser cutting technology offers in terms of achieving superb quality cuts at low cost and high production rates requires the optimization of laser cutting parameters. This implies the need to formulate and solve different laser cutting optimization problems. In this article, an optimization model for CO2 laser cutting of mild steel is developed. The laser cutting optimization problem was explicitly formulated as a single-objective optimization problem with five non-linear constraints of the equality, inequality and range type. The goal was to determine the laser cutting parameter values so as to maximize the material removal rate while simultaneously considering practical process constraints related to dross formation, kerf width, perpendicularity deviation, surface roughness and severance energy. Two crossed experimental designs of different resolutions were performed in order to define six mathematical models, which were used in the formulation of the optimization problem. For the purpose of optimization, the exhaustive iterative search algorithm was applied, since it determines solutions whose optimality is guaranteed in the given discrete space of input variable values. The practical usability of the developed laser cutting optimization model and the effectiveness of the applied optimization approach were proved while solving a real case study aimed at the optimization of laser cutting parameters for cutting parts for the furnace industry.

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带约束的激光切割优化模型：低碳钢 CO2 激光切割中材料去除率的最大化

充分利用激光切割技术在以低成本和高生产率实现高质量切割方面的优势，需要优化激光切割参数。这意味着需要制定和解决不同的激光切割优化问题。在本文中，开发了低碳钢 CO2 激光切割的优化模型。激光切割优化问题被明确地表述为具有等式、不等式和范围类型的五个非线性约束的单目标优化问题。目标是确定激光切割参数值，以便最大限度地提高材料去除率，同时考虑与浮渣形成、切口宽度、垂直度偏差、表面粗糙度和切断能相关的实际工艺限制。进行了两个不同分辨率的交叉实验设计，以定义六个数学模型，这些模型用于制定优化问题。出于优化的目的，应用了穷举迭代搜索算法，因为它确定了在给定的输入变量值离散空间中保证最优性的解决方案。在解决一个旨在优化熔炉行业切割零件的激光切割参数的真实案例研究时，证明了所开发的激光切割优化模型的实用性和所应用的优化方法的有效性。应用了穷举迭代搜索算法，因为它确定了在给定的输入变量值离散空间中保证最优性的解决方案。在解决一个旨在优化熔炉行业切割零件的激光切割参数的真实案例研究时，证明了所开发的激光切割优化模型的实用性和所应用的优化方法的有效性。应用了穷举迭代搜索算法，因为它确定了在给定的输入变量值离散空间中保证最优性的解决方案。在解决一个旨在优化熔炉行业切割零件的激光切割参数的真实案例研究时，证明了所开发的激光切割优化模型的实用性和所应用的优化方法的有效性。