大型齿轮在多因素耦合影响下齿形误差测量的灰色动态预报

Gray dynamic prediction of large gear tooth profile error measurement under multi-impact factors coupling

提出了一种旁置式的大型齿轮测量装置,分析了影响该装置测量精度的主要误差来源及其特性,给出了一种处理多因素耦合影响的灰色动态预报方法.首先,基于测量装置特性,对影响齿形误差测量精度的误差源进行分析和标定,计算出各误差源的灵敏度系数;然后对测得的有限误差数据进行再抽样及灰色生成,分别计算出在每次测量中各影响因素对测量结果的作用大小,之后按照误差合成方法生成误差源耦合作用结果;最后,通过在测量结果中去除耦合作用进而提高大型齿轮齿形误差测量精度.与测量精度为0.5μm的三坐标测量机进行对比测量,结果表明所提出测量装置能满足3级精度以上的大型齿轮齿形误差检测需求.

A large side-mounted model of gear measurement mechanism was proposed,and the main error sources and features of measurement precision were analyzed.A grey dynamic prediction method was presented to deal with multi-impact factors coupling.Firstly,the error sources influenced tooth profile measurement precision were analyzed and demarcated according to the characteristics of measurement mechanism,and then the sensitivity coefficients of various error sources were calculated.Secondly,the limited error source data were separately resampled,and a grey generation operation was given;the measurement results affected by each error source were calculated in the resampling process;then the error coupling results could be obtained in the error synthesis process.Finally,the measurement precision of large gear tooth profile could be improved greatly by removing the coupling effect existing in measurement result.Compared with the measurement results obtained by the three-coordinate 0.5μm precision measurement machine,the experiment results show that the measurement system presented can meet the measurement requirement of tooth profilefor large gear of three-level precision above.