https://doi.org/10.1140/epjst/e2019-800245-y
Regular Article
Steady state performance of a nonlinear vibration absorber on vibration reduction of a harmonically forced oscillator
1
Department of Mechanical and Industrial Engineering, University of Wisconsin-Platteville, Platteville, WI 53818-3099, USA
2
Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA
a e-mail: yub@uwplatt.edu
Received:
31
December
2018
Received in final form:
5
August
2019
Published online:
25
September
2019
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.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2019
