The Analysis of Relative Stability for Automatic Ball Balancers
Date Issued
2007
Date
2007
Author(s)
Chen, Hung-Sheng
DOI
zh-TW
Abstract
The automatic ball balancer has been widely used in rotary machinery with uncertain imbalance by its capability of balancing vibration at speeds higher than the natural frequency. However, it still suffers from performance inconsistency in real operations. In this research, the theory of relative stability is applied to the study of twin-ball balancers. The maximum real part of eigenvalues from the Jacobian matrix is employed as an index for the analysis. Perturbed transient responses are also investigated to explore the relationship between this index and the settling time. By this approach, it is found that the angular velocity of the spindle motor, race damping and mass of the stator have significant effect on the system’s relative stability. The results are expected to be useful for engineers in setting design parameters and performance improvement.
Subjects
滾珠式自動平衡裝置
相對穩定性
賈可比矩陣
automatic ball balancer
relative stability
Jacobian matrix
Type
thesis