Table 1 The main advantages of the proposed method compared with other existing methods
Methods | Advantages and disadvantages |
|---|---|
Homogeneous Transformation Matrix | It describes the motion relationship between motion pairs, but it is necessary to measure the error at each position one by one, and it is necessary to remeasure for different types of machine tools. |
Multi-body Kinematics | It is easy to establish kinematic model and difficult to measure the position and pose at different positions. |
Screw Theory | It is generally applied to get analytical solution, but the calculation process is complex. |
Differential Motion Matrix | It is easy to carry out unified expression of ideal and actual models, with low calculation difficulty. Automatic calculation can be realized by computer, but the accuracy is low. |
Kinematic Jacobian-Torsor | It can establish the relationship between the spatial error and the coordinate of each axis of the machine tool, with high calculation efficiency, and obtain the tolerance range of feature requirements, which is conducive to optimal design. |