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基于最優(yōu)權(quán)系數(shù)組合建模的數(shù)控機(jī)床熱誤差在線補(bǔ)償
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國(guó)家自然科學(xué)基金資助項(xiàng)目(51075287);國(guó)家重大科技專項(xiàng)資助項(xiàng)目(2010ZX04015—011)


Online Compensation for CNC Machine Thermal Error Based on Optimal Weights-based Combined Modeling
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    摘要:

    針對(duì)數(shù)控機(jī)床熱誤差建模具有小樣本、數(shù)據(jù)離散的特點(diǎn),提出一種綜合灰色預(yù)測(cè)和最小二乘支持向量機(jī)的熱誤差在線組合建模方法。根據(jù)機(jī)床溫度和熱誤差的實(shí)驗(yàn)數(shù)據(jù),分別建立熱誤差的灰色模型和最小二乘支持向量機(jī)模型,并通過加權(quán)系數(shù)將兩者進(jìn)行組合。以提高熱誤差的實(shí)測(cè)值和組合模型預(yù)測(cè)值之間的灰色綜合關(guān)聯(lián)度為目標(biāo),對(duì)模型的加權(quán)系數(shù)進(jìn)行優(yōu)化。在一臺(tái)高架橋式龍門加工中心上進(jìn)行建模實(shí)驗(yàn),結(jié)果表明數(shù)控機(jī)床熱誤差最優(yōu)權(quán)系數(shù)組合建模方法精度高、泛化能力強(qiáng),優(yōu)于灰色預(yù)測(cè)、最小二乘支持向量機(jī)和多元線性回歸3種建模方法。利用該方法構(gòu)建的預(yù)測(cè)模型進(jìn)行機(jī)床熱誤差在線補(bǔ)償,可有效減小熱誤差對(duì)機(jī)床加工精度的影響。

    Abstract:

    Due to the modeling of CNC machine thermal error has characters of small sample and discrete data, the combined modeling method was presented by integrating grey forecast and least square-support vector machine. According to the experimental data of machine temperature and thermal error, a grey forecast model and a least square-support vector machine were built respectively, and then a combination model was established by using weight coefficients. Taking the increase of the synthetic grey correlation between experimental data and the combined model’s forecast value as the aim, optimization of weight coefficients was done. A modeling test was designed on a viaduct gantry machining center, and the result showed that the optimal weights-based combined modeling was prior to grey forecast, least square-support vector machine and multiple linear regressions on accuracy and generalization. Application of the combined model on the online compensation for CNC machine thermal error can effectively reduce the influence of thermal error on machine’s precision.

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陽紅,向勝華,劉立新,李昭平,殷國(guó)富,張珣.基于最優(yōu)權(quán)系數(shù)組合建模的數(shù)控機(jī)床熱誤差在線補(bǔ)償[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2012,43(5):216-221. Yang Hong, Xiang Shenghua, Liu Lixin, Li Zhaoping, Yin Guofu, Zhang Xun. Online Compensation for CNC Machine Thermal Error Based on Optimal Weights-based Combined Modeling[J]. Transactions of the Chinese Society for Agricultural Machinery,2012,43(5):216-221.

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  • 在線發(fā)布日期: 2012-06-07
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