TY - JOUR
T1 - Dynamics of a 2-DOF dry friction system under two-frequency excitations
AU - Cheng, Gong
AU - Zu, Jean W.
PY - 2009/12
Y1 - 2009/12
N2 - In this paper, the dynamics of a two-degree-of-freedom block-on-belt system subjected to both dry friction and external excitations is studied. The dry friction in the system follows the classical Coulomb's law, and the external excitations consist of two harmonic forces with different frequencies. In the study, a new two-dimensional (2-D) map is developed, which reduces the system without losing its essential dynamic features and greatly simplifies the investigation. On the basis of the 2-D map, bifurcation analysis and the computation of Poincaré sections and Lyapunov exponents can be carried out straightforwardly. Numerical simulations are performed, in which the proposed 2-D map is proved to be very effective and provide a powerful tool to understand the dynamical behavior of the system. Numerical results show that the system possesses rich dynamics characterized by periodic, quasi-periodic and chaotic attractors. Furthermore, it is found that the two-frequency excitation has significant influence on the dynamical behavior of the system.
AB - In this paper, the dynamics of a two-degree-of-freedom block-on-belt system subjected to both dry friction and external excitations is studied. The dry friction in the system follows the classical Coulomb's law, and the external excitations consist of two harmonic forces with different frequencies. In the study, a new two-dimensional (2-D) map is developed, which reduces the system without losing its essential dynamic features and greatly simplifies the investigation. On the basis of the 2-D map, bifurcation analysis and the computation of Poincaré sections and Lyapunov exponents can be carried out straightforwardly. Numerical simulations are performed, in which the proposed 2-D map is proved to be very effective and provide a powerful tool to understand the dynamical behavior of the system. Numerical results show that the system possesses rich dynamics characterized by periodic, quasi-periodic and chaotic attractors. Furthermore, it is found that the two-frequency excitation has significant influence on the dynamical behavior of the system.
KW - 2-D map
KW - Bifurcation
KW - Lyapunov exponent
KW - Poincaré section
KW - dry friction
KW - dynamics
KW - two-frequency excitation
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U2 - 10.1142/S1758825109000356
DO - 10.1142/S1758825109000356
M3 - Article
AN - SCOPUS:83455166683
SN - 1758-8251
VL - 1
SP - 647
EP - 665
JO - International Journal of Applied Mechanics
JF - International Journal of Applied Mechanics
IS - 4
ER -