Authors: Jianxiong Chen Shuwen Lin Bingwei He
Publish Date: 2013/12/05
Volume: 71, Issue: 1-4, Pages: 635-642
Abstract
As the geometric errors of motion axis can be equivalent to the differential movement regarded as a differential operator based on its ideal position a new modeling method for multiaxis CNC machines based on differential transform theory is proposed in this paper First the workpiece coordinates is selected to observe the errors of the tool pose Then a general geometric error model for multiaxis machines is established Moreover the Jacobian matrix is applied to describe the relationship between the tool pose error vector and the compensation error vector All the elements of the matrix are obtained by computing the differential operators instead of computing the partial derivatives The compensation errors vector is solved using the pseudoinverse Jacobian matrix Finally an automatic modeling procedure is developed to construct the geometric errors for multiaxis machine tools An experiment on a fiveaxis machine tool is conducted to test and verify the proposed method The results show that the proposed method dramatically improves the overall position accuracy of the test tool path
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