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基于改進的自適應漸消UKF機床主軸熱平衡試驗
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國家自然科學基金項目(51605253)、浙江省基礎公益研究計劃項目(LGG18E050014)、浙江省博士后擇優(yōu)項目(zj20180077)和衢州市科技計劃項目(2018T022)


Thermal Equilibrium Test of Machine Tool Spindle Based on Modified Adaptive Fading Unscented Kalman Filter
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    摘要:

    數(shù)控機床的主軸熱平衡試驗是進行熱誤差建模和補償?shù)谋匾侄?,是準確獲得數(shù)控機床主軸的熱敏感點、溫度場和熱位移以及熱平衡時間等熱態(tài)特性的方法。本文提出一種基于改進的自適應漸消無跡卡爾曼濾波(Adaptive fading unscented Kalman filter, AFUKF)的快速辨識機床主軸選點溫升的方法。首先,在標準UKF中引入漸消因子,使用殘差歸一化自動更新漸消因子,并將其引入增益矩陣,增強測量值在計算中的權重;其次,通過使用自適應規(guī)則,動態(tài)調(diào)整過程噪聲和測量噪聲協(xié)方差陣,減少外部擾動對溫升預測的影響,以獲得更好的濾波性能。仿真結果表明,提出的機床主軸溫升快速辨識方法可以在很短的時間內(nèi)預測選點的溫升,且預測結果與熱平衡試驗結果吻合,驗證了本文方法的可行性和有效性。

    Abstract:

    Thermal equilibrium test of CNC machine tool spindle is a necessary step in thermal error modeling and compensating, and also an experimental method to obtain the thermal characteristics of spindle system, such as the thermal sensitive points, the data of temperature field and thermaldisplacement field and so on. A novel method was presented for fast identification of a machine tool spindle temperature rise, based on a modified adaptive fading unscented Kalman filter (AFUKF). Firstly, a fading factor was introduced into the normal UKF. This factor can be automatically updated by using the residual normalization, and it was also introduced into the gain matrix to reduce the influence of system model deviation on estimation accuracy and enhance the stability of the filter. Secondly, by using adaptive law, the process noise and measurement noise covariance matrix were dynamically adjusted to reduce the influence of external disturbance on temperature rise prediction, so that the better filtering performance can be obtained. A vertical machine tool was used to validate the effectiveness of the presented method. Taking any selected point, we could identify the temperature rise at the point in 28min. The root mean square error (RMSE) between the estimated and measured temperatures in the period of 400min was 0.1291℃, and the error between the estimated and measured steady-state temperature was 0.097℃. The simulation experiments showed that the method of fast identification of machine tool spindle temperature rise can predict the temperature rise of the selected point in a short time, and the prediction results were in good agreement with the results of thermal equilibrium test. The feasibility and validity of the method were verified, and it can greatly improve the efficiency of thermal equilibrium test.

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余文利,鄧小雷,姚鑫驊,傅建中.基于改進的自適應漸消UKF機床主軸熱平衡試驗[J].農(nóng)業(yè)機械學報,2019,50(4):363-373. YU Wenli, DENG Xiaolei, YAO Xinhua, FU Jianzhong. Thermal Equilibrium Test of Machine Tool Spindle Based on Modified Adaptive Fading Unscented Kalman Filter[J]. Transactions of the Chinese Society for Agricultural Machinery,2019,50(4):363-373.

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  • 收稿日期:2019-01-05
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  • 在線發(fā)布日期: 2019-04-10
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