An automatic dynamic balancer in a rotating mechanism with time-varying angular velocity

James A. Wright, Linyu Peng

Research output: Contribution to journalArticle

Abstract

We consider the system of a two ball automatic dynamic balancer attached to a rotating disc with nonconstant angular velocity. We directly compare the scenario of constant angular velocity with that when the acceleration of the rotor is taken into consideration. In doing so we show that there are cases where one must take the acceleration phase into consideration to obtain an accurate picture of the dynamics. Similarly we identify cases where the acceleration phase of the disc may be ignored. Finally, we briefly consider nonmonotonic variations of the angular velocity, with a view of maximising the basin of attraction of the desired solution, corresponding to damped vibrations.

Original languageEnglish
Article number100015
JournalResults in Applied Mathematics
Volume2
DOIs
Publication statusPublished - 2019 Dec 1

Fingerprint

Angular velocity
Time-varying
Rotating
Rotating Disk
Basin of Attraction
Rotating disks
Damped
Rotor
Ball
Rotors
Vibration
Scenarios

Keywords

  • Attractor
  • Automatic dynamic balancer
  • Basin of attraction
  • Mechanical system
  • Ramped velocity

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

An automatic dynamic balancer in a rotating mechanism with time-varying angular velocity. / Wright, James A.; Peng, Linyu.

In: Results in Applied Mathematics, Vol. 2, 100015, 01.12.2019.

Research output: Contribution to journalArticle

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