Optimization of Numerical Modeling and System Design for Automatic Multi-ball Balancers
Date Issued
2009
Date
2009
Author(s)
Fong, Heng-Jing
Abstract
Being capable of balancing vibration when speeds exceed system natural frequency, the automatic multi-ball balancer has been widely used in rotary machinery with variable unbalanced mass. However, it still suffers from inconsistent performance in operations. By investigating transient behaviors, this research aims to reduce inconsistency of this system. The equations of motion are derived by the Lagrange approach, and the Hertz contact theory is used to model contacts between balls and balls to the race. Coulomb friction is employed to simulate friction between balls and race. These models are justified by comparisons with flexible race wall, traditional damping and pure sliding ball models. According to the simulations, initial positions of balls will affect the system convergent time, and higher friction results in shorter convergent time and larger vibration. Moreover, increasing the number of balls can reduce both the convergent time and vibration for the system.
Subjects
automatic ball balancers
Hertz contact theory
Coulomb friction
transient analysis
multi-ball
Type
thesis
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