TY - JOUR
T1 - Dynamics of a dry friction oscillator under two-frequency excitations
AU - Cheng, G.
AU - Zu, J. W.
PY - 2004/8/23
Y1 - 2004/8/23
N2 - In this paper, the dynamic behavior of a dry friction oscillator subjected to simultaneous self and external excitations is studied. The dry friction in the system follows the classical Coulomb's law, and the external excitation consists of two harmonic forces with different frequencies. The focus of the paper is laid on bifurcation analysis to gain insight into the influence of the two-frequency excitation upon the qualitative features of system dynamics. Numerical simulations are performed and the simulation results are visualized by means of bifurcation diagrams, Poincaré sections and Lyapunov exponents. New and interesting conclusions are reached from the study. It is shown that small excitation frequencies and amplitudes tend to cause chaos in the system, whereas large excitation amplitudes can induce only periodic motions. Furthermore, it is found that the probability of the occurrence of periodic motions increases, as the ratio between the two excitation frequencies increases.
AB - In this paper, the dynamic behavior of a dry friction oscillator subjected to simultaneous self and external excitations is studied. The dry friction in the system follows the classical Coulomb's law, and the external excitation consists of two harmonic forces with different frequencies. The focus of the paper is laid on bifurcation analysis to gain insight into the influence of the two-frequency excitation upon the qualitative features of system dynamics. Numerical simulations are performed and the simulation results are visualized by means of bifurcation diagrams, Poincaré sections and Lyapunov exponents. New and interesting conclusions are reached from the study. It is shown that small excitation frequencies and amplitudes tend to cause chaos in the system, whereas large excitation amplitudes can induce only periodic motions. Furthermore, it is found that the probability of the occurrence of periodic motions increases, as the ratio between the two excitation frequencies increases.
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U2 - 10.1016/j.jsv.2003.06.027
DO - 10.1016/j.jsv.2003.06.027
M3 - Article
AN - SCOPUS:3042561941
SN - 0022-460X
VL - 275
SP - 591
EP - 603
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
IS - 3-5
ER -