Effectiveness of vibration reduction of a nonlinear dynamic vibration eliminator

The paper presents the research aimed at effectiveness of elimination of the mechanical system vibration with the use of a nonlinear dynamic vibration eliminator. The considered object has been modeled as a discrete system with two degrees of freedom subjected to force excitation. Nonlinearity of elastic and dissipative properties of the protected object and the eliminator is defined by 3rd order polynomials. Solutions of the equations of motion have been obtained by simulation research with the use of MATLAB® software. Effectiveness of the vibration reduction has been assessed based on the function of the elimination effectiveness defined as the ratio of rms values of the vibration amplitudes of the protected object without the eliminator to the ones occurring with it, in the case of steady motion.