Abstract
The kinematic errors of the linear axis play a key role in machining precision of high-end CNC (computer numerical control) machine tool. The quantification of error relationship is still an urgent problem to be solved in the assembly process of the linear axis, especially considering the effect of the elastic deformation of rollers. In order to obtain the kinematic errors of the linear axis of machine tool, a systematic error equivalence model of slider is proposed. The linear axis contains the base, the linear guide rail, and carriage. Firstly, the geometric errors of assembly surface of linear guide rail are represented by small displacement torsor. Then, according to the theory of different motion of robots, the error equivalence model of a single slider is established, namely the geometric errors of assembly surface of linear guide rail and the pose error of slider are equivalent to the elastic deformation of roller. Based on the principle of vector summation, the kinematic error of a single slider is mapped to the carriage, and the kinematic error of the linear axis is obtained. At the same time, experiments validation of kinematic error model of the linear axis is carried out. It is indicated that the proposed model is accurate and feasible. The analysis of key design parameters shows that the proposed model can provide an accurate guidance for the manufacturing and operation performance of the linear axis in quantification, and a more effective reference for the engineers at the design and assembly stage.
Highlights
With the rapid development of precision manufacturing and unceasing enhancement demand, high-precision machining centers, namely multi-axis CNC machine tools, are widely used in all kinds of advanced manufacturing fields, such as automotive engines, aero-engines and gearboxes, valve bodies and other pivotal components
The third one is that the geometric error and elastic deformation of guide rail are both considered to study the kinematic errors of linear guide rail, the research object and the key point are different
Little work focused on the error equivalence method, the contribution point of the proposed model is that the geometric error of assembly surface of linear guide rail and the pose error of slider are equivalent to the elastic deformation of roller
Summary
With the rapid development of precision manufacturing and unceasing enhancement demand, high-precision machining centers, namely multi-axis CNC machine tools, are widely used in all kinds of advanced manufacturing fields, such as automotive engines, aero-engines and gearboxes, valve bodies and other pivotal components. The third one is that the geometric error and elastic deformation of guide rail are both considered to study the kinematic errors of linear guide rail, the research object and the key point are different. Ma et al [13] proposed a method of combining the geometric error of rolling guide and the elastic deformation of rolling ball, aiming to study the motion error rule of slider under different working situations. Little work focused on the error equivalence method, the contribution point of the proposed model is that the geometric error of assembly surface of linear guide rail and the pose error of slider are equivalent to the elastic deformation of roller.
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