An Investigation of Dynamic Stability of Self-Compensating Dynamic Balancer

자기보상 동적균형기의 동적안정성 연구

  • Lee, Jongkil (Hyundai Heavy Industries Co., Ltd., Noise and Vibration Research Dept.) ;
  • Published : 1994.12.01

Abstract

Self-Compensating Dynamic Balancer (SCDB) is composed of a circular disk with a groove containing spherical balls and a low viscosity damping fluid. To investigate the stability of the motion equations these equations are perturbed and the resulting perturbation equations are analyzed further to determine whether the perturbations grow or decay with dimensionless time. Based on the results of stability investigation, ball positions that result in a balanced system are stable above the critical speed for .betha.' = 3.8. At critical speed the perturbed motion is said to be stable for .betha.' = 23. However, the system is unstable below critical speed in any case of .betha.'.

자기보상 동적균형기는 홈이파인 원형판에 강구와 저점성유체를 지닌 구조체 이다. 유도된 운동방정식의 안정성을 조사하기 위하여 섭동이론을 통하여 무차원화 한 시간에 따라 섭동방정식의 특성을 조사하였다. 안정성연구의 결과에 근거하여 임계속도보다 높은 범위에서 $\beta$'이 3.8 이상이면 자기보상 동적균형기는 정상 작동(안정성)을 하였으나 임계속도보다 낮은 범위에서는 어떠한 $\beta$'에 대해서도 불안정함을 알 수 있었다.

Keywords

References

  1. Balancing of High-Speed Machinery Darlow,M.S.
  2. Balancing of Rigid and Flexible Rotors Rieger,N.F.
  3. Nonlinear Oscillations Nayfeh,A.H.;Mook,D.T.
  4. Stability of Motion Hahn,W.
  5. Nonlinear Oscillations in Physical Systems Hayashi,C.
  6. Journal of Applied Mechanics, APM-56-19 Dynamic Balancing of Rotating Machinery in the Field Thearle,E.L.;Schenectady,N.Y.
  7. The Journal of the ASME v.39 Recent Developments in Balancing Apparatus Akimoff,N.W.
  8. Journal of Applied Mechanics v.61 Mathematical-Machine Determination of the Vibration of Accelerated Unbalanced Rotor Baker,J.G.
  9. Journal of Applied Mechanics v.65 Balancing of Rotating Apparatus-Ⅰ Kroon,R.P.
  10. Journal of Applied Mechanics v.66 Balancing of Rotating Apparatus-Ⅱ Kroon,R.P.
  11. Journal of Engineering for Industry Balancing Flexible Rotors Church,A.H.;Plunkett,R.