Modeling Method for Pose Error of Machine Tool Linear Feed System Based on the Principle of Minimum Potential Energy

In the present research, a method to model the pose error of the machine tool feed system is proposed based on the principle of minimum potential energy. Firstly, the force-moment equilibrium equation of the feed system is established by mechanical analysis. Secondly, the force of the single slider is analyzed based on Hertzian contact theory, and the force state of the slider under the action of the guideway error is obtained. The elastic displacements of the single slider in the horizontal and vertical directions are solved based on the principle of the minimal potential energy. Subsequently, the pose error of the feeding system is obtained by using the plane fitting principle. Finally, the correctness of the proposed method is verified through experiments, and the experimental results are in good agreement with the theoretical results.