Machining accuracy reliability optimization of three-axis CNC machine tools using doubly-weighted vector projection response surface method

IF 2.9 3区 工程技术 Q2 AUTOMATION & CONTROL SYSTEMS International Journal of Advanced Manufacturing Technology Pub Date : 2024-03-16 DOI:10.1007/s00170-024-13426-w
Zhiming Wang, Wenbin Lu
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Abstract

The reasonable allocation of geometric errors of machine tools can improve their machining accuracy reliability (MAR). However, due to the complexity and high nonlinearity of limit state function (LSF) of MAR, the fitting accuracy is usually low when the traditional method is used to approximate LSF. To solve this problem, a doubly-weighted vector projection response surface (DWVPRS) method, which considers not only the approximation results of test sample points (TSPs) to LSF but the distances between TSPs and the most probable failure point (MPFP), is proposed. Using the reliability sensitivity analysis method, the key geometric errors were identified and optimized. Finally, taking a large gantry guideway grinding machine as an example to verifies the effectiveness and correctness of the DWVPRS method proposed in this paper, the results show that compared with the traditional methods, the DWVPRS method has the highest fitting accuracy to approximate LSF at the MPFP, and after the optimization of geometric accuracy, both the minimum and average reliability values of the grinding machine meet the design requirements.

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使用双加权矢量投影响应面法优化三轴数控机床的加工精度可靠性
合理分配机床的几何误差可以提高机床的加工精度可靠性(MAR)。然而,由于 MAR 的极限状态函数(LSF)的复杂性和高度非线性,使用传统方法逼近 LSF 时,拟合精度通常较低。为解决这一问题,本文提出了一种双加权向量投影响应曲面(DWVPRS)方法,该方法不仅考虑了测试样本点(TSP)与 LSF 的近似结果,还考虑了测试样本点与最可能故障点(MPFP)之间的距离。利用可靠性灵敏度分析方法,确定并优化了关键几何误差。最后,以大型龙门导轨磨床为例,验证了本文提出的 DWVPRS 方法的有效性和正确性,结果表明,与传统方法相比,DWVPRS 方法在 MPFP 处近似 LSF 的拟合精度最高,在几何精度优化后,磨床的最小可靠性值和平均可靠性值均满足设计要求。
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来源期刊
CiteScore
5.70
自引率
17.60%
发文量
2008
审稿时长
62 days
期刊介绍: The International Journal of Advanced Manufacturing Technology bridges the gap between pure research journals and the more practical publications on advanced manufacturing and systems. It therefore provides an outstanding forum for papers covering applications-based research topics relevant to manufacturing processes, machines and process integration.
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