Global sensitivity analysis of a CNC machine tool: application of MDRM

Global sensitivity analysis of a CNC machine tool: application of MDRM
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数控机床的全局灵敏度分析:MDRM 的应用

DOI:
10.1007/s00170-015-7128-9
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发表时间:
2015-05
影响因子:
3.4
通讯作者:
ey MD
ey MD
中科院分区:
工程技术3区
文献类型:
--
作者:
Zhang XF;Zhang YM;P;ey MD

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了解数控机床的误差传播机理是利用其他技术提高机床运动精度的前提。本文用乘维降维法对机床系统的可靠性和全局灵敏度进行了分析。机床的可靠性定义为在刀具的整个目标轨迹中输出误差保持在规定范围内的概率。将该可靠性问题表述为利用最大定位误差的概率分布求解的一系列可靠性问题。采用基于方差的全局灵敏度分析方法筛选系统运动误差模型中的重要误差分量。以三轴立式铣床为例,对该方法进行了系统可靠性和全局灵敏度分析。通过蒙特卡罗仿真方法对结果进行了验证。该方法可以很容易地应用于基于其他误差模型的基于概率的机床运动分析。
Understanding the error propagation mechanism of a CNC machine tool is a prerequisite to improve machine tool kinematic accuracy by other techniques. This paper presents system reliability and global sensitivity analyses of a machine tool with the multiplicative dimensional reduction method (M-DRM). Reliability of the machine tool is defined as the probability that output error remains within a specified limit in entire target trajectory of tool cutter. This reliability problem is formulated as a series reliability problem that is solved using probability distribution of the maximal positioning error. The variance-based global sensitivity analysis is preformed to screen significant error components of the system kinematic error model. The proposed method is illustrated by a three-axis vertical milling machine tool for system reliability and global sensitivity analyses. Results are verified by Monte-Carlo simulation method. The procedure would be easily applied for probability-based kinematic analysis of machine tools based on other error models.
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