The Analysis of Relative Stabilityfor Automatic Ball Balancers

• Main Authors: Hung-Sheng Chen, 陳宏生
• Other Authors: Tseng-Ti Fu
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/00289381792445323645

碩士 === 國立臺灣大學 === 機械工程學研究所 === 95 === 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.