上海交通大学学报

上海交通大学学报（自然版） ›› 2014, Vol. 48 ›› Issue (1): 22-26.

• 机械仪表工程 • 上一篇    下一篇

基于状态空间模型的机床热误差动态建模

肖慧孝，杨建国，张毅
  

  1. （上海交通大学 机械与动力工程学院， 上海 200240）
     
  • 收稿日期:2013-03-13
  • 基金资助:

    国家自然科学基金项目（51275305）,高等学校博士学科点专项科研基金项目（20110073110041）资助

Dynamic Modeling of Machine Tool Thermal Error Based on the State-Space Model

XIAO Huixiao,YANG Jianguo,ZHANG Yi
  

  1. (School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
  • Received:2013-03-13

摘要：

提出了一种基于状态空间模型的机床热误差建模方法，以几个关键温度点的温升为输入，结合状态变量和干扰来确定热误差输出，由子空间辨识算法得到模型参数.同时，在一台数控车床上进行实验，以探究模型的精度和鲁棒性.结果表明：在不同的转速条件下，所提出的模型能够补偿70%的热误差；与自回归模型的建模方法相比，状态空间模型表现出更优异的鲁棒性.

 
 

关键词: 热误差, 鲁棒性, 状态空间模型, 数控机床

Abstract:

A thermal error modeling method based on the state-space model was proposed,  taking the temperature changes of the key heat sources as the input. Its output—thermal error of the machine tool, was jointly determined by the input, state variables and disturbances. Besides, a subspace identification algorithm was used to obtain the parameters of the model. To investigate its accuracy and robustness, experiments were conducted on a computer numerical control (CNC) machine tool. The result shows that  the statespace model can compensate 70% of the thermal error regardless of the spindle speed conditions, and demonstrates its superiority in robustness in comparison with the modeling results of an auto- regressive model.
state-space model; computer numerical control (CNC) machine tool; thermal error; robustness

 

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