1Centre for Nonlinear Dynamics Research, School of Astronautics, Harbin Institute of Technology, Harbin 150001 2Centre for Nonlinear Dynamics Research, Department of Mathatics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043
A Rotating Pendulum Linked by an Oblique Spring
CAO Qing-Jie1,2**, HAN Ning2, TIAN Rui-Lan2
1Centre for Nonlinear Dynamics Research, School of Astronautics, Harbin Institute of Technology, Harbin 150001 2Centre for Nonlinear Dynamics Research, Department of Mathatics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043
摘要We present a novel model which comprises a rotating pendulum linked by an oblique spring pinned to its rigid support. This model provides a cylindrical dynamical system with both smooth and discontinuous regimes depending on the value of a system parameter and also the dynamics transient relying on the coupling strength between the pendulum and the linked spring. The presented system behaves with both standard (smooth) and nonstandard (discontinuous) nonlinear dynamics of equilibrium bifurcations and the periodic patterns when it is unperturbed. Complicated resonant structures of period, quasi-period and stochastic phenomena are presented for the system with unique harmonic perturbation. The chaotic behavior of the system perturbed by both viscous-damping and external excitations is also demonstrated.
Abstract：We present a novel model which comprises a rotating pendulum linked by an oblique spring pinned to its rigid support. This model provides a cylindrical dynamical system with both smooth and discontinuous regimes depending on the value of a system parameter and also the dynamics transient relying on the coupling strength between the pendulum and the linked spring. The presented system behaves with both standard (smooth) and nonstandard (discontinuous) nonlinear dynamics of equilibrium bifurcations and the periodic patterns when it is unperturbed. Complicated resonant structures of period, quasi-period and stochastic phenomena are presented for the system with unique harmonic perturbation. The chaotic behavior of the system perturbed by both viscous-damping and external excitations is also demonstrated.
CAO Qing-Jie;**;HAN Ning;TIAN Rui-Lan
. A Rotating Pendulum Linked by an Oblique Spring[J]. 中国物理快报, 2011, 28(6): 60502-060502.
CAO Qing-Jie, **, HAN Ning, TIAN Rui-Lan
. A Rotating Pendulum Linked by an Oblique Spring. Chin. Phys. Lett., 2011, 28(6): 60502-060502.
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2011, Vol. 28 
