| 丛明,李泳耀,孙宗余,李宏坤.机床温度测点优化方法研究及试验验证[J].,2015,55(6):582-588 |
| 机床温度测点优化方法研究及试验验证 |
| An optimization method of temperature measuring points for machine tools and experimental verification |
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| DOI：10.7511/dllgxb201506004 |
| 中文关键词: 热误差 测点优化 相关分析 模糊聚类分析 灰色综合关联度 |
| 英文关键词: thermal error measuring points optimization correlation analysis fuzzy clustering analysis grey synthetic degree of association |
| 基金项目:国家科技重大专项课题(2013ZX04012071). |
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| 中文摘要: |
| 针对机床热误差补偿技术中的关键温度测点选取问题，提出了一种温度测点优化新方法．首先采用简单相关分析，剔除掉与热误差明显不相关的测点．然后对初步筛选出的测点进行模糊聚类分析，以消除温度变量间的复共线性问题，同时进行灰色综合关联度分析，判断各测点与热误差间的紧密程度．根据分析结果，建立多个不同测点的热误差模型，对模型进行基于统计学理论的分析，确定出关键温度变量，将温度测点由20个减少至4个．根据优化结果，重新建立多元线性回归模型．误差预测结果表明，主轴 Z 向最大热误差从17.903 μm减小到 1.850 μm． |
| 英文摘要: |
| A new method is proposed to optimize the temperature measuring points of thermal error compensation technology for machine tools. A simple correlation analysis is used to weed out measuring points which are unrelated to thermal error apparently. Then, the selected temperature measuring points are classified by fuzzy clustering analysis to eliminate the multicollinearity problem between temperature variables. Simultaneously, the grey synthetic degree of association is used to determine the correlation between the measuring points and thermal error. Several thermal error models are established based on the results. The models are analyzed based on principles of statistics to identify key measuring points. The number of measuring points is reduced from 20 to 4. Then, a new multiple linear regression model is built based on these key points. The measuring results show that the Z -axis thermal error is reduced from 17.903 μm to 1.850 μm. |
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