Influence of Shear and Gyroscopic Effect of Grinder Spindle on Critical Speed
This study was focused on the theoretical modeling and numerical simulation about the shear effect and gyroscopic effect of spindle system of high-speed grinder. Based on the rotor dynamics, a theoretical model was established using the transfer matrix method. The moment balance equations, and the transition matrix, the state vector, field matrix of spindle system of ultra-high speed grinder were analyzed and calculated. The results showed that shear effect reduced the critical speed in various orders, and its influence on higher orders was more severe than on lower orders. Furthermore, it could be seen that gyroscopic effect increased the critical speed in various orders, and it was sensitive in higher orders. It could be found that the increase of fifth order critical speed reached 16.6% due to gyroscopic effect, while the minimum increase of critical speed was 1.8% due to gyroscopic effect.
Guanglin Wang, Huifeng Wang, Jun Liu and Xilin Zhu
C. H. Li et al., "Influence of Shear and Gyroscopic Effect of Grinder Spindle on Critical Speed", Advanced Materials Research, Vol. 305, pp. 168-172, 2011