Application of Automatic Ball-Type Balancers on a Flexible-Shaft Rotor System
Date Issued
2015
Date
2015
Author(s)
Hsieh, Hsiang-Yu
Abstract
To avoid large vibrations, high speed rotating machines have to be balanced precisely. When the imbalance varies with the working conditions, it is desirable to have a balancer that can suppress rotational vibrations automatically. Ball-type automatic balancers have been applied to reduce imbalance vibrations of two- and three-dimensional rigid rotors. However, the study of the application of auto-balancers to the flexible shaft rotor system is not complete. With the increasing speed of rotating machinery, the flexible deflection of the shaft becomes more and more significant. Consequently, it is essential to conduct a comprehensive investigation on the efficiency and restrictions when apply auto-balancers to the flexible shaft rotor system. In this thesis, we carry out a dynamical analysis of the auto-balancer-flexible shaft rotor system. We study the dynamical behavior of the system under different kinds of imbalance. For the convenience of modeling arbitrary imbalance, we first construct a finite element model of the rotor and then employ Lagrange’s equations to derive the governing equations. A rotating coordinate system is used as the reference frame to have autonomous governing equations. In this case, the equilibrium solutions can be analyzed conveniently. The effects of important parameters, such as rotational speed, flexibility of the shaft, and locations of the auto-balancers on the steady state behavior of the system are investigated. On the basis of these results, we can understand the efficiency and restrictions of auto-balancers on the suppression of unbalance vibrations of flexible-shaft rotor systems.
Subjects
flexible shaft rotor
automatic balancer
equilibrium configurations
Type
thesis
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ntu-104-R02522517-1.pdf
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