Mathematical Model of the Damping Process in a One System with a Ball Vibration Absorber | Zendy

Zhengbing Hu | Zendy; V. P. Legeza | Zendy; Ivan Dychka | Zendy; D.V. Legeza | Zendy

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Mathematical Model of the Damping Process in a One System with a Ball Vibration Absorber

Author(s) -

Zhengbing Hu,

V. P. Legeza,

Ivan Dychka,

D.V. Legeza

Publication year - 2018

Publication title -

international journal of intelligent systems and applications

Language(s) - English

Resource type - Journals

eISSN - 2074-9058

pISSN - 2074-904X

DOI - 10.5815/ijisa.2018.01.04

Subject(s) - vibration , ball (mathematics) , amplitude , mechanics , dynamic vibration absorber , physics , excitation , formalism (music) , viscous damping , equations of motion , classical mechanics , acoustics , materials science , optics , mathematical analysis , mathematics , art , musical , visual arts , quantum mechanics

The forced oscillations of the damping mechanical system of solids "Ball Vibration Absorber (BVA) with linearly viscous resistance – a movable carrier body" under the influence of external harmonic excitation are considered. Based on Appell's formalism, the dynamic equations for the joint motion of a heavy ball without sliding into a spherical cavity of a carrier body are formulated and numerically studied. The amplitude-frequency characteristic of the damping mechanical system and the curves of the dependences of the maximum amplitude of the oscillations of the carrier body on the values of the radius of the spherical cavity and the coefficient of viscous resistance of the BVA are obtained. The conditions and restrictions on the rolling of a heavy ball in the spherical recess of the absorber without sliding are determined.

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