基于响应面法的金刚石线锯切割大理石工艺参数多目标优化

Multi-objective optimization of process parameters for diamond wire saw cutting marble based on response surface methodology

  • 摘要: 为系统探究金刚石线锯切割大理石的工艺参数对加工效果的影响,文章基于响应面法设计试验,分析了线速度、进给速度与工件长度对表面质量的影响程度及交互作用,建立了工艺参数与响应指标的预测模型;基于该模型,运用非支配排序遗传算法(non-dominated sorting genetic algorithm II, NSGA-II)算法构建了以表面粗糙度、波纹度及锯切效率为目标的优化模型,获得了Pareto最优解集,并通过逼近理想解排序法(technique for order preference by similarity to an ideal solution, TOPSIS)方法决策得到了综合最优工艺方案。结果表明,表面粗糙度与波纹度均随着进给速度、工件长度的增加以及线速度的下降而增加,影响的主次顺序为进给速度>工件长度>线速度。较高线速度可缓解因工件长度与进给速度增加导致的表面质量恶化;而切割大长度工件时,提高进给速度会显著加剧粗糙度与波纹度。多目标优化决策后的工艺方案可在表面质量略有降低的前提下,大幅提升锯切效率。研究结果为金刚石线锯切割加工大理石的工艺制定提供了试验依据与理论支持。

     

    Abstract: To systematically investigate the influence of diamond wire saw cutting parameters on the machining effect of marble, a response surface methodology was employed to analyze the impact of wire speed, feed speed, and workpiece length on surface quality, as well as their interactions. A predictive model linking process parameters to response indicators was established. Based on this model, an optimization model targeting surface roughness, waviness, and cutting efficiency was constructed using the NSGA-II algorithm. The Pareto optimal solution set was obtained. Through the TOPSIS method, the comprehensive optimal process solution was selected. The results indicate that both surface roughness and waviness increase with higher feed speed, longer workpiece length, and lower wire speed. The primary influencing factors in descending order is feed speed > workpiece length > wire speed. Higher wire speeds can mitigate the deterioration of surface quality caused by increased workpiece length and feed speed, while under long workpiece length, increasing the feed speed significantly exacerbates roughness and waviness. The process solution optimized through multi-objective decision making significantly improves cutting efficiency with only a slight reduction in surface quality. These findings provide experimental and theoretical support for the development of diamond wire saw cutting marble process.

     

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