复杂Miter接头焊接坡口切割建模与仿真

针对现有文献对Miter管研究的不足，建立了复杂Miter管焊接装配面的数学模型，提出了切割加工时速度优化公式。应用空间解析几何推导了几种常见类型的复杂Miter接头相贯线和实际切割角数学模型；分析切割过程中实际切割角对相贯线轨迹成型的影响，并联系切割速度，提出了基于实际切割角的切割速度优化公式。切割速度优化公式能有效避免管件切割时发生未切透、棱角熔化和坡口变形等现象。所建立的数学模型和推导的切割速度优化公式对Miter管的数学建模和切割过程中速度控制有一定的参考。

Welding Groove Model and Simulation of Complex Miter Joint

Since the existing researches on Miter pipe were insufficient. its mathematical model was established and anoptimization formula on cutting speed was presented. Several common types of Miter pipe intersecting line and actualcutting angle were deduced by utilizing the analytic geometry; analysis of the influence of the actual cutting angle on theintersecting line and considering the cutting speed, an optimization formula on cutting speed based on the actual cuttingangle was presented. The optimization formula could effectively avoid defects when the pipe did not cut through thecorners. edges melt and groove deformed. The established mathematical model and the derivation of the cutting speedoptimization formula provide certain reference to the process of Miter pipe cutting.