首页> 外文会议>Proceedings of the ASME Design Engineering Division 2003 >CHAOTIC MOTION OF A TWO-FREQUENCY FORCED OSCILLATOR WITH DRY FRICTION
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CHAOTIC MOTION OF A TWO-FREQUENCY FORCED OSCILLATOR WITH DRY FRICTION

机译:具有干摩擦的两频强迫振动器的混沌运动

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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, Poincare 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.
机译:在本文中,研究了干式摩擦振荡器同时受自身和外部激励的动力学行为。系统中的干摩擦遵循经典的库仑定律,并且外部激励由具有不同频率的两个谐波力组成。本文的重点放在分叉分析上,以深入了解双频激励对系统动力学的定性特征的影响。进行数值模拟,并通过分叉图,庞加莱截面和Lyapunov指数可视化模拟结果。这项研究得出了新的有趣的结论。结果表明,较小的激励频率和幅度往往会引起系统混乱,而较大的激励幅度只能引起周期性运动。此外,发现随着两个激励频率之间的比率增加,发生周期性运动的可能性增加。

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