基于蒙特卡洛模拟的机床关键几何误差溯源方法

发布时间：2018-04-22 16:26

本文选题：误差溯源 + 全局灵敏度　；参考：《北京工业大学学报》2017年11期

【摘要】：为了溯源对加工误差影响最大的机床几何误差,提出了一种基于蒙特卡洛模拟的灵敏度分析方法.运用多体系统理论建立五坐标龙门加工中心加工误差生成模型,并建立了S形样件的直纹面数学模型.推导刀具轨迹到切削点的映射关系,建立了切削曲面模型.根据蒙特卡洛模拟采样机理,对机床加工误差模型进行全局灵敏度分析,获得影响机床加工误差的关键几何误差参数.按照灵敏度分析结果排序,获得影响z向加工误差最大的5项几何误差参数为δ_z(x)、δ_z(y)、δ_z(z)、δ_z(c)、δ_z(b).实验结果表明:5项关键误差参数共同作用对分析区域平均z向加工误差的影响度达88.2%,5项误差参数对机床z向加工误差影响最大,可以为提高五坐标机床的加工精度和设计精度提供指导.
[Abstract]:A sensitivity analysis method based on Monte Carlo simulation was proposed in order to trace the geometric error of machine tool which has the greatest influence on machining error. The machining error generation model of five-axis gantry machining center is established by using the theory of multi-body system, and the mathematical model of straight surface of S-shaped sample is established. The mapping relationship between tool path and cutting point is deduced, and the cutting surface model is established. According to Monte Carlo simulation sampling mechanism, the global sensitivity analysis of machine tool machining error model is carried out, and the key geometric error parameters affecting machine tool machining error are obtained. According to the results of sensitivity analysis, the five geometric error parameters which have the greatest effect on the processing error in z direction are obtained as follows: 未 -S / Z, 未 / S, 未 / S, 未 / S, 未 / S, S / S, S / S, S / S, S / S, S / S, S / S, S / S, S / S, S / S, S / S, S The experimental results show that the joint action of five key error parameters has the greatest influence on the Z-direction machining error of the machine tool, and the influence degree of the five key error parameters on the Z direction machining error of the machine tool is 88.2%. It can provide guidance for improving machining accuracy and design accuracy of five-axis machine tools.
【作者单位】：北京工业大学机械工程与应用电子技术学院;
【基金】：国家自然科学基金资助项目(51275014) 国家科技重大专项资助项目(2013ZX04011013)
【分类号】：TG659

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