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- 2015
精密坐标镗床进给系统热误差分析与预测
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Abstract:
为了预测数控机床运行时热误差对进给系统定位精度的影响,以精密坐标镗床为研究对象,采用红外热像仪和激光干涉仪分别测量进给系统在每个测点的丝杠温度和定位精度,提出进给系统热误差的最小二乘支持向量机(LS??SVM)预测方法,建立了关于温度与位置的预测模型。模型引入最小二乘支持向量机方法对机床进给系统热误差进行预测分析,较好地描述了进给轴热误差与温度、位置之间的非线性关系,且对样本的依赖度小,有很好的泛化能力,解决了目前线性拟合模型用特征平均温度替代当前测点温度进行计算而存在较大误差的问题。实验结果表明,与目前已经在数控机床上实际应用的线性预测模型相比,LS??SVM模型对进给系统热误差的预测精度可达90%,预测精度提高30%以上,取得了非常好的预测效果,具有较高的现实应用价值。
To predict the effect of heat deviation on positioning accuracy of feed system in a running CNC machine, for a precision coordinate boring machine, the temperature accuracy in every measuring point of the system is measured by infrared thermal imager and the positioning accuracy is measured by laser interferometer simultaneously, then the least squares support vector machine (LS??SVM) prediction method of thermal error in feed system is adopted to establish a prediction model of temperature and location. LS??SVM prediction method is introduced into the prediction model to predict the thermal error in the feed system. The model well describes the nonlinear relationship between the thermal errors of position and temperature with slight dependence on samples and good generalization ability. The difficulty that the prediction error gets greater because the average characteristic temperature is considered instead of the current measuring point temperature in establishing linear prediction model is solved. The results show that the prediction precision of thermal error by LS??SVM model reaches 90%, 30% higher than that by the existing linear prediction model for NC machine
[1] | [8]杨军, 施虎, 梅雪松, 等. 双驱伺服进给系统热误差的试验测量与预测模型构建 [J]. 西安交通大学学报, 2013, 47(11): 53??59. |
[2] | YANG Jun, SHI Hu, MEI Xuesong, et al. Measurement and modeling of thermal errors in dual??drive servo feed system [J]. Journal of Xi’an Jiaotong University, 2013, 47(11): 53??59. |
[3] | [11]沈金华, 李永祥, 杨建国, 等. 数控车床几何和热误差综合实施补偿方法应用 [J]. 四川大学学报, 2008, 40(1): 163??166. |
[4] | SHEN Jinhua, LI Yongxiang, YANG Jianguo, et al. A real??time compensation method for the geometric and thermal error on CNC turning machine [J]. Journal of Sichuan University, 2008, 40(1): 163??166. |
[5] | [12]VAPNIK V N. Statistical learning theory [M]. New York, USA: Wiley, 1998: 375??567. |
[6] | [13]SUYKENS J A K, DE B J, LUKAS L, et al. Weighted least squares support vector machines: robustness and sparse approximation [J].Neurocomputing, 2002, 48(1): 85??105. |
[7] | [16]李志林, 尹建华. Matlab软件在建立回归模型中的应用 [J]. 数理统计与管理, 2005, 24(S1): 452??456. |
[8] | YANG Jun, MEI Xuesong, ZHAO Liang, et al. Thermal error modeling of a coordinate boring machine based on fuzzy clustering and SVM [J]. Journal of Shanghai Jiaotong University, 2014, 48(8): 1175??1182. |
[9] | [1]杨建国, 范开国. 数控机床误差实时补偿技术 [M]. 北京: 机械工业出版社, 2013: 126??129. |
[10] | [2]BRYAN J. International status of thermal error research (1990) [J]. CIRP Annals: Manufacturing Technology, 1990, 39(2): 645??656. |
[11] | [3]HUANG S C. Analysis of a model to forecast thermal deformation of ball screw feed drive systems [J]. Int J of Mach Tools and Manufact, 1995, 35(8): 1099??1104. |
[12] | [4]CHEN J S. Fast calibration and modeling of thermally??induced machine tool errors in real machining [J]. Int J Mach Tools Manufact, 1997, 35(2): 159??169. |
[13] | [5]WU C H, KUNG Y T. Thermal analysis for the feed drive system of a CNC machine center [J]. Int J of Mach Tools and Manufact, 2003, 43(15): 1521??1528. |
[14] | [6]HEISEL U, KOSCSAK G, STEHLE T. Thermography based investigation into thermally induced positioning errors of feed drives by example of a ball screw [J]. CIRP Annals: Manufacturing Technology, 2006, 55(1): 423??426. |
[15] | [7]YANG J, ZHANG D H, MEI X S, et al. Thermal error simulation and compensation in a jig??boring machine equipped with a dual??drive servo feed system [J]. Proc IMechE: Part BJ Engineering Manufacture, 2015, 229(51): 43??63. |
[16] | [9]杨军, 梅雪松, 赵亮, 等. 基于模糊聚类测点优化与向量机的坐标镗床热误差建模 [J]. 上海交通大学学报, 2014, 48(8): 1175??1182. |
[17] | [14]陈颖, 杨楠. 应用回归分析 [M]. 上海: 复旦大学出版社, 2008: 44??92. |
[18] | [15]GALIMBERTI G, SOFFRITTI G. A multivariate linear regression analysis using finite mixtures of t distributions [J]. Computational Statistics and Data Analysis, 2014, 71: 138??150. |
[19] | LI Zhilin, YI Jianhua. The application of MATLAB to structure regression model [J]. Journal of Applied Statistics and Management, 2005, 24(S1): 452??456. |
[20] | [10]李永祥, 杨建国. 数控机床热误差的混合预测模型及应用 [D]. 上海: 上海交通大学, 2006. |