Compensation of Friction Error for X-Y Table

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Compensation of Friction Error for X-Y Table

更新时间：2025-07-09

- Compensation of Friction Error for X-Y Table
- Vol. 45, Issue 1, Pages: 69-73(2011)
- 作者机构：
  
  西安交通大学机械工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP271.3
- Online First：10 January 2011，
  
  Published：2011
- 稿件说明：
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Compensation of Friction Error for X-Y Table[J]. 2011, 45(1): 69-73.
DOI：

Compensation of Friction Error for X-Y Table[J]. 2011, 45(1): 69-73. DOI：

摘要

为了降低摩擦造成的数控机床轮廓的误差

以X-Y平台为研究对象

采用数学推导、仿真和实验等方法

对摩擦误差的产生机理和补偿方法进行了研究.从瞬态响应的视角揭示了摩擦误差的产生机理

提出的数学方法能精确计算出摩擦误差出现的时机、持续时间

以及由摩擦产生的最大跟随误差.同时

提出了一种基于双脉冲补偿方波的误差补偿方法

可利用数学推导来确定补偿脉冲的参数(脉冲高度、宽度、起始位置)

通过在位置指令中加入补偿脉冲可使工作台尽快脱离工作死区

快速逼近理想轨迹.数值仿真和实验结果表明

该方法将摩擦产生的突起误差高度由15 μm降低为2 μm

达到了较理想的误差补偿效果.

Abstract

To reduce contour error due to friction of computer numerical control(CNC)machine tools

the reason that quadrant protrusions in circular motion of X-Y table occurs and the method for error compensation are investigated by simulations and experiments. The mechanism of emergence of friction error can be revealed by performance analysis of transient response of the servo system. A new approach for compensation of friction error with double compensation pulses is proposed. The parameters of compensation pulses such as magnitudes

widths and time of starting are determined mathematically. The input commands with compensation pulse makes the worktable escape from dead region at the best time

and the worktable approaches to ideal feed path along the guide as rapidly as possible. The simulation and experiment show that the magnitude of protrusions due to friction are reduced from 15 μm to 2 μm to achieve the desired situation effectively.

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references

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ERKORKAMAZ K, ALTINTAS Y. High speed CNC system design: part Ⅲ high speed tracking and contouring control of feed drives [J]. International Journal of Machine Tools and Manufacture,2001,41(10):1637-1658.

BRIAN A, DUPONT P. A survey of models analysis tools and compensation methods for the control of machines with friction [J]. Automatic, 1994,30(7):1083-1138.

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周玉清,陶涛,梅雪松,等.旋转轴与平移轴联动误差的快速测量及溯源[J].西安交通大学学报,2010, 44(5):80-86.

ZHOU Yuqing,TAO Tao,MEI Xuesong,et al. Rapid error measurement and trace of simultaneous rotary-translational axes collaborative motion[J].Journal of Xi'an Jiaotong University,2010,44(5):80-86.

不同粗糙度条件下硅橡胶表面织构润滑特性的研究. 西安交通大学学报,2010,44(9):87-92.

伺服系统Hammerstein非线性模型及参数辨识方法研究. 西安交通大学学报,2010,44(3):42-46.

静压导轨误差均化效应影响因素研究. 西安交通大学学报,2010,44(11):33-36.

柔性测量臂运动学建模及参数标定方法. 西安交通大学学报,2010,44(8):122-126.

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