Load distribution and accuracy-rigidity of linear motion ball guides system. Theoretical verification for accuracy average effect

This paper deals with the theoretical verification for the accuracy average effect of LMBG system using the load distribution formula derived in previous paper in the case where Gaussian shape misalignment is forcedly given to the one of the tow rails composed of the system. The load distribution and the maximum distribution load in the system and the guiding accuracy of the table, the effect of preloading etc. in accordance with the table movement are calculated. The obtained conclusions for the accuracy average effect are quantitatively described as follows. (1) When the misalignment width is smaller than the block length of the LMBG, then the ratio between the table displacement and the misalignment height becomes from 1/40 to 1/8. (2) In the case of the greater width than that, it becomes from 1/8 to 1/4 . (3) When the misalignment width becomes infinity, that is, the rail is set quite parallel to the other, then it becomes 1/2 .