Modeling and optimization of dynamic absorber with viscous friction

Abstract

The vibrations coming from outer sources can cause, in the most cases, important disturbances in mechanical systems functioning. For this reason, solutions for the mitigation of these negative effects are sought, one of them being the use of vibration dynamic absorbers. In the present work, a damped vibrating mechanical system is considered and a dynamic absorber with damping attached to it. The mechanical system is acted by a sinusoidal force. The mechanical system behavior is modeled by a system of four state-space equations, having as input data the outer force and as output data the elongations of the vibrating motions for the two masses, corresponding to the original system and to the dynamic absorber, respectively. In this paper, the analytical steady state solution for system functioning is determined. The absorber effect can be optimized by using this solution. For this purpose, a soft in MATLAB environment is conceived, soft which offers the possibility of computing the mass, the spring elastic constant and the absorber coefficient of viscous friction, so that the amplitude of the original system oscillations, caused by the input force, to be minimal.