滚轮推送机构精度寿命的灰色预测

Grey Prediction for Accuracy Life of Roller Pushing Mechanism

滚轮推送机构具有结构简单、体积小、推送物料准确等优点,可在运动空间受到限制、机械手不易操作的地方应用。将滚轮推送机构位置精度的过去及现在已知的或非确知的信息,视作一个灰色系统,通过定期检测滚轮链条首部位置精度的误差值,构成一个原始等间隔数据序列;按灰色系统建模法予以建模,通过累加生成得到单调递增的时间数据序列,据此建立灰色系统GM(1,1)模型白化形式的微分方程。再通过残差模型的修正,提高了计算精度。修正后的GM(1,1)模型可用来预测滚轮推送机构的位置精度寿命。

The roller pushing mechanism has the advantages of simple structure, small size, material accurately, etc. It can be used in moving space is limited, where the robot is not easy to pushing the operate. The past and now known or unknown the information of position accuracy of roller pushing mechanism is regarded as a grey system. The regular testing error value of position accuracy of chain head is constituted as an original data series at equal intervals. The mathematical model of gray system is established. Monotonically increasing time data sequence is obtained by accumulating generating calculation. The albino form of differential equations of grey system GM （ 1, 1 ） is established. Then the calculation accuracy is improved by correcting of residual model. The corrected GM （ 1, 1 ） model is used to predict the life of the positional accuracy of the roller push- ing mechanism.