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Research Papers

Passive Balancing of Rotor Systems Using Pendulum Balancers

[+] Author and Article Information
Roland Horvath

Department of Mechanical Engineering, Auburn University, Auburn, ALhorvaro@auburn.edu

George T. Flowers1

Department of Mechanical Engineering, Auburn University, Auburn, ALgflowers@eng.auburn.edu

Jerry Fausz

 Air Force Research Laboratory, Kirtland AFB, NMjerry.fausz@kirtland.af.mil

1

Corresponding author.

J. Vib. Acoust 130(4), 041011 (Jul 14, 2008) (11 pages) doi:10.1115/1.2731401 History: Received June 14, 2005; Revised January 03, 2007; Published July 14, 2008

Passive balancing techniques have received a great deal of attention in recent literature, with much of this work focused on ball balancer systems. However, for certain applications, balancing systems that use pendulums rather than rolling balls may offer distinctly improved balancing precision. This investigation seeks to provide additional insight into the performance and expected behavior of such systems. A simulation model is developed for a pendulum balancer system with isotropic supports and analyzed in detail. The influence of shaft location and friction on balancing effectiveness is considered and evaluated. In this regard, the dynamic characteristics of a pendulum balancer system are analyzed and compared to a similar ball balancer system. The conclusions and observations from the analysis and simulation studies are demonstrated and tested in a series of experimental studies.

Copyright © 2008 by American Society of Mechanical Engineers
Topics: Pendulums , Rotors
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References

Figures

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Figure 1

Simple model for two-pendulum system with radial mass imbalance

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Figure 2

Magnitude and phase shift of the response in the first DOF Θ1

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Figure 3

Configuration of the frequency response and the three forces of the pendulum as a function of phase shift

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Figure 4

Illustrations of the three types of singular points

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Figure 5

Eigenvalues of type I singular points

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Figure 6

Eigenvalues of type II singular points

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Figure 7

Eigenvalues of type III singular points

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Figure 8

Amplitude of steady state oscillation as a function of location of radial imbalance and configuration plot

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Figure 9

Mathematical model of rotor system with noncentered pendulums

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Figure 10

Simulations results showing the nondimensionalized rotor vibration level for the system with pendulum shaft offset

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Figure 11

Simulation results showing the absolute and relative positions of the pendulums for the system with pendulum shaft misalignment

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Figure 12

Photograph showing side view of experimental facility

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Figure 13

(a) Photographs showing the top view of the experimental facility and (b) side view of the experimental facility

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Figure 14

Experimentally measured time responses for a radially unbalanced two-pendulum system

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Figure 15

Numerically simulated time responses for a radially unbalanced two-pendulum system

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Figure 16

Force distribution of pendulum and ball balancer

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Figure 17

(a) side view of ball balancer experimental facility and (b) top view of ball balancer experimental facility

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Figure 18

Final positions of balancing balls and the level of vibration for different startups

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Figure 19

Deformation of contact surfaces and force distribution of the balancing ball and channel

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Figure 20

Final positions of balancing pendulums and the level of vibration for different startups

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