The Analysis of Contact Behaviors for Automatic Ball Balancers
Date Issued
2007
Date
2007
Author(s)
Chen, Han-Sheng
DOI
zh-TW
Abstract
Automatic ball balancers have been widely used in rotating machinery with different imbalance due to the capability of balancing vibration at speeds higher than the system natural frequency. However, it also suffers from performance inconsistency in applications. Transient contact behaviors of the single-ball balancer are investigated in this research by Lagrange approach. The equations of motion for transient analysis are derived, and the contact model for collisions between the ball and the race is established by the Hertz theory and finite element analysis. According to the sensitivity analysis of system parameters, the maximum angular acceleration of the spindle motor and mass of the stator are found influential to the convergent time, and the system damping and mass of the stator have a strong effect on the largest amplitude of system vibration. The race damping dominates the number of collisions. The consistency of system performance is investigated by the variation of convergent time and largest vibration amplitude subject to various initial conditions of the ball. The results are hoped to be useful for system design and improvement.
Subjects
滾珠式自動平衡裝置
Hertz接觸理論
有限元素分析
暫態分析
automatic ball balancers
Hertz contact
finite element analysis
transient analysis
Type
thesis
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