The Application of Ball-type Automatic Balancer to the Suppression of Vibration of Spinning-Top Type Mechanism
Date Issued
2005
Date
2005
Author(s)
Lin, Chi-Chun
DOI
zh-TW
Abstract
Ball-type automatic balancers have been successfully employed to balance rotors of the rigid disk type. The theoretic basis and properties of automatic balancing on a single plane have been investigated in detail. However, little research has been done regarding the effects of ball-type automatic balancers on the balancing of long rigid rotors. The purpose of this thesis is to evaluate the feasibility of using ball-type automatic balancers to eliminate imbalanced vibrations of long rigid rotors. In order to simplify the problem, we study spinning-top type mechanisms. The main part of the mechanism is a long rigid rotor spinning at a constant speed. One end of the spinning axis is fixed and the other end is connected to the ground via a suspension system. The suspension system can be treated as a set of isotropic linear springs and viscous dampers. A ball-type balancer is installed on the suspension end of the rotor. Lagrange’s equations are used to derive the governing equations. When the deformation of the rotor is small, in order to get time-invariant equations, suitable coordinate systems are employed for the perfect balancing and partial balancing situations, respectively. We can show that these sets of governing equations are first order approximations to each other. From the governing equations, we can determine the equilibrium positions. The influence of system parameters on the stability of the equilibrium positions are studied in detail. The results, which are confirmed by numerical analysis, indicate that ball-type automatic balancers can effectively reduce the imbalance vibration of long rigid rotors.
Subjects
滾珠平衡
自轉陀螺
Automatic Balancer
Spinning-Top
Type
thesis
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