Dynamic analysis of a pendulum dynamic automatic balancer

Jin Seung Sohn, jinwoo lee, Eun Hyoung Cho, No Cheol Park, Young Pil Park

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The automatic dynamic balancer is a device to reduce the vibration from unbalanced mass of rotors. Instead of considering prevailing ball automatic dynamic balancer, pendulum automatic dynamic balancer is analyzed. For the analysis of dynamic stability and behavior, the nonlinear equations of motion for a system are derived with respect to polar coordinates by the Lagrange's equations. The perturbation method is applied to investigate the dynamic behavior of the system around the equilibrium position. Based on the linearized equations, the dynamic stability of the system around the equilibrium positions is investigated by the eigenvalue analysis. The stability analysis provides the design requirements for the pendulum automatic dynamic balancer to achieve a balancing of the system. The efficiency of ball automatic dynamic balancer, for reducing the total vibration of the system, is better than one of pendulum automatic balancer, if the rotating speed is above critical speed. However, pendulum automatic dynamic balancer can achieve balancing even if the rotating speed is below critical speed. The time response analysis demonstrates the stability analysis from computing the radial displacement of the rotating system and the positions of pendulums. Furthermore, in order to confirm the theoretical analysis, various experiments are made on pendulum automatic dynamic balancer.

Original languageEnglish
Pages (from-to)151-167
Number of pages17
JournalShock and Vibration
Volume14
Issue number2
DOIs
Publication statusPublished - 2007 Jan 1

Fingerprint

pendulums
dynamic analysis
Pendulums
Dynamic analysis
stability analysis
vibration
dynamic stability
critical velocity
response analysis
eigenvalue
balls
perturbation
polar coordinates
speed
time response
Nonlinear equations
rotors
nonlinear equations
Equations of motion
analysis

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Condensed Matter Physics
  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Sohn, Jin Seung ; lee, jinwoo ; Cho, Eun Hyoung ; Park, No Cheol ; Park, Young Pil. / Dynamic analysis of a pendulum dynamic automatic balancer. In: Shock and Vibration. 2007 ; Vol. 14, No. 2. pp. 151-167.
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Dynamic analysis of a pendulum dynamic automatic balancer. / Sohn, Jin Seung; lee, jinwoo; Cho, Eun Hyoung; Park, No Cheol; Park, Young Pil.

In: Shock and Vibration, Vol. 14, No. 2, 01.01.2007, p. 151-167.

Research output: Contribution to journalArticle

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