Theoretical Investigation of 2DOF Vibrating System and Its Application to Dynamic Vibration Absorber

2자유도 진동계에 관한 이론적 고찰 및 진동흡진기로의 응용

  • 장선준 (한국과학기술원 건설 및 환경공학과) ;
  • ;
  • ;
  • 정형조 (한국과학기술원 건설 및 환경공학과)
  • Received : 2009.06.24
  • Accepted : 2009.08.10
  • Published : 2009.08.30

Abstract

In this paper, the dynamic characteristic of vibrating system which has translational and rotational degrees of freedom is studied. The moment of inertia of the system is modeled here as the inerter and the equivalent model to the system is proposed using dynamic stiffness method. It is shown that the size of inerter plays a major role to determine the dynamic characteristic of the system. This two degree of freedom system(DOF) is applied as a dynamic vibration absorber(DVA) to the elimination of single peak of main body. The solution for the undamped DVA is presented in analytical form while the damped DVA is designed using fixed point theory. The numerical examples are presented for verifying the methods.

본 연구에서는 회전 및 병진 자유도를 갖는 2자유도 진동계의 동적 특성을 다루었다. 강체의 관성모멘트를 새로운 기계 요소인 이너터로 모델링한 뒤 동강성법을 이용하여 2자유도 진동계의 등가모델을 구하였다. 이때 이너터의 크기에 따라 진동계의 동적특성이 결정되는 것을 보였다. 2자유도 진동계를 진동 흡진기로서 단일 모우드 소거에 적용하였을 경우의 흡진기 설계방법론을 구하였다. 비감쇠 진동흡진기의 경우 해석적인 방법론을 제시하였고, 하나의 감쇠기가 존재하는 경우 고정점법을 적용한 방법론을 소개하였다. 수치 예를 통해서 제시된 방법론을 검증하였다.

Keywords

References

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