农业机械学报2017，Vol.48Issue(10)：408-416,9.DOI:10.6041/j.issn.1000-1298.2017.10.052
基于张量理论的数控机床误差补偿模型
Error Compensation Model of CNC Machine-tool Based on Tensor Theory
摘要
Abstract
In order to improve the geometric accuracy of high-end CNC machine tools,a machine tool error compensation model based on tensor theory was proposed.Firstly,the error tensor model was established by setting the basic order,the extended order and the error order,which was applicable for error compensation table.Secondly,the error compensation was carried out in three processes,which were setting machine tool information,establishing tensor model and setting detection parameter.Referring to the ISO 230-2 standard,the modeling flow and detection parameters of the error tensor model were presented.Using multiple regression analysis,the linear fitting and residual errors were 2.5 μm,while the four polynomial fit residuals were 1 μm.Finally,taking CNC turn-milling machine experiment as an example,the error tensor model by step-diagonal measurement was proposed.The analysis of experimental data showed that the pitch error by three order fitting can improve the fitting precision by 59.4％ ～ 92.5％,the sum of squared residuals was less than 0.000 03;the straightness error needed five order fitting for nonlinear characteristics.The ballbar experiment of roundness error showed that roundness error was increased by 12.2％ ～ 27.7％,while only compensated the pitch error.For example,the compensation using error tensor model can be reduced by 22.3％ of roundness error at XY plane by three order fitting,which was optimized by 26.4％ ～ 95.5％ compared with that of the linear interpolation.The experiment showed that the error compensation should be paid more attention to the straightness error.The method of error tensor model can effectively improve the accuracy of machine tools for both pitch error and straightness error.关键词
误差补偿/张量理论/分轴步进对角线法/车铣复合机床Key words
error compensation/tensor theory/step-diagonal measurement method/CNC turn-milling machine分类
机械制造引用本文复制引用
褚宁,张为民..基于张量理论的数控机床误差补偿模型[J].农业机械学报,2017,48(10):408-416,9.基金项目
国家科技重大专项(2012ZX04005-031) （2012ZX04005-031）
