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

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 equa...

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Main Author: Jongkil Lee
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-1995-2106
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author Jongkil Lee
author_facet Jongkil Lee
author_sort Jongkil Lee
collection DOAJ
description 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.
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spelling doaj-art-c8e65a5de3834e4498a6d3547343b2532025-08-20T03:24:11ZengWileyShock and Vibration1070-96221875-92031995-01-0121596710.3233/SAV-1995-2106An Analytical Study of Self-Compensating Dynamic Balancer with Damping Fluid and BallJongkil Lee0Mechanical Engineering Department, University of Utah, Salt Lake City, UT 84112, USAThe 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.http://dx.doi.org/10.3233/SAV-1995-2106
spellingShingle Jongkil Lee
An Analytical Study of Self-Compensating Dynamic Balancer with Damping Fluid and Ball
Shock and Vibration
title An Analytical Study of Self-Compensating Dynamic Balancer with Damping Fluid and Ball
title_full An Analytical Study of Self-Compensating Dynamic Balancer with Damping Fluid and Ball
title_fullStr An Analytical Study of Self-Compensating Dynamic Balancer with Damping Fluid and Ball
title_full_unstemmed An Analytical Study of Self-Compensating Dynamic Balancer with Damping Fluid and Ball
title_short An Analytical Study of Self-Compensating Dynamic Balancer with Damping Fluid and Ball
title_sort analytical study of self compensating dynamic balancer with damping fluid and ball
url http://dx.doi.org/10.3233/SAV-1995-2106
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