Steady state performance of a nonlinear vibration absorber on vibration reduction of a harmonically forced oscillator

In this paper, the periodic steady-state responses of a nonlinear vibration absorber are investigated using the general harmonically balanced method. The periodic steady-state responses are presented via the frequency-amplitude curves. The bifurcation and stability are investigated through the eigenvalue analysis of a developed dynamical system of coefficients of the finite Fourier series. Numerical simulations of stable symmetric and asymmetric periodic steady-state responses are completed. The harmonic amplitude spectrums show harmonic effects on steady-state periodic motions, and the corresponding accuracy of approximate analytical solutions can be prescribed specifically.