
Optimization of dynamic absorber parameters for protecting the machines against the vibrations transmitted through their base
Author(s) -
Radu Ibănescu,
Mihaela Ibănescu
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1037/1/012054
Subject(s) - vibration , base (topology) , amplitude , dynamic vibration absorber , work (physics) , matlab , acoustics , steady state (chemistry) , control theory (sociology) , computer science , structural engineering , mechanics , engineering , mechanical engineering , physics , mathematics , mathematical analysis , optics , artificial intelligence , chemistry , control (management) , operating system
The correct functioning of machines could be affected by the vibrations transmitted through their base from other devices. The first possible protection measure is to support these machines on elastic elements with damping. The present work presents a protection solution which consists in the attachment of a dynamic absorber with viscous friction to the considered machine, in order to diminish the amplitudes of the vibrations caused by base movement. The mathematical model is developed for the real case when the base vibrations are not transmitted to the machine, but to the elastic supporting elements. The analytical expression of machine vibration amplitude in steady state is obtained. This amplitude could be diminished by an accurate choice of the three dynamic absorber parameters (mass, elastic constant, coefficient of viscous friction). An optimization program conceived in MATLAB provides the values of these parameters which lead to the minimum amplitude of machine vibrations.