Abstract

Transmission accuracy is one of the most important parameters in ball screw mechanism (BSM); however, very few researches can be found on the transmission error modeling for BSM. Therefore, on the basis of the converting principle of the errors in the normal and axial direction proposed in this paper, this paper proposes a new model to predicate the transmission accuracy of BSM considering the manufacturing errors, installation errors, as well as the transmission error due to different loading status. After the error analysis and calibration of a transmission accuracy measuring system, the transmission accuracy measurement of a typical BSM under five different preloading levels is performed. The experimental results show that the difference compared with the analytical solution is 21.6% under no preload condition, and is less than 11% under preload condition, largely owing to the uneven distribution of clearance can increase the travel deviation. Further analysis shows that the eccentricity error is the dominant factor leading to the periodic fluctuation of the transmission error. More importantly, the travel deviation increases with increasing preload, which indicates the transmission accuracy of the BSM deteriorates when the load increases.

Highlights

  • Ball screws, which are widely used in CNC machine tools, have a great performance on dynamic stability and reliability [1]

  • The transmission error measurements of the ball screw under different preload level were carried out at the speed of 20r/min, in which the preload is adjusted by inserting different gaskets [20]

  • The transmission error of ball screw under no preload and different preload shows a regular periodicity, which is in accordance with the rotational cycle

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Summary

Introduction

Ball screws, which are widely used in CNC machine tools, have a great performance on dynamic stability and reliability [1]. Ma et al studied the transmission accuracy of a planetary roller screw mechanism under different working conditions, considering the elastic deformations, manufacturing errors and assembly errors [6]. For the transmission accuracy of ball screw, Zhao et al studied the position precision including travel deviation and variation by considering the load distribution of ball screw under axial and radial loads conditions, based on the measurement of initial precision without applied load [8].

Theoretical analysis
Profile error
Installation errors
Inclined installation error
Error caused by contact deformation
Modelling of transmission accuracy
Transmission error of screw shaft
Transmission accuracy measurement
Error analysis of measuring system
Straightness error of the mobile platform
Simulation of transmission accuracy
Conclusions
Full Text
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