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Shock and Vibration
Volume 2, Issue 1, Pages 59-67

An Analytical Study of Self-Compensating Dynamic Balancer with Damping Fluid and Ball

Jongkil Lee

Mechanical Engineering Department, University of Utah, Salt Lake City, UT 84112, USA

Received 18 October 1993; Accepted 19 September 1994

Copyright © 1995 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The self-compensating dynamic balancer (SCDB) is composed of a circular disk with a groove containing ball and a low viscosity damping fluid. The equations of motion of the rotating system with SCDB were derived by the Lagrangian method. To consider dynamic stability of the motion, perturbation equations were investigated. Based on the results of stability investigation, ball positions that result in a balanced system are stable above the critical speed with small damping (β′>3.8 case). At critical speed the perturbed motion is said to be stable for large damping (β′>2.3 case). However, below critical speed the balls cannot stabilize the system in any case.