Determining the amplitude-frequency response and settings of a nonlinear vibration isolation system with a quasi-isochronous damper

Algebraic equations of the first order describing the amplitude-frequency response of a nonlinear vibration isolation system with a quasi-isochronous roller damper are derived. A numerical experiment is conducted using these equations. A combined graphical/numerical method to find the optimal settings for this damper is proposed. It is established that the natural frequencies of the optimally tuned damper do not coincide in the nonlinear and linear cases. It is shown that the new quasi-isochronous roller damper can substantially decrease the amplitude of forced vibrations. © 2015 Springer Science+Business Media New York.