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Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters

机译:具有间隙和周期性时变参数的振荡器非线性动力学行为的实验

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摘要

A number of experiments on a physical system with clearance having combined parametric and external forcing excitation are presented. The data demonstrate several nonlinear phenomena that exist in periodically excited oscillators subject toclearance at a contact interface. Jump discontinuities in forced response curves are shown to exist and subharmonic resonances which are formed by period-n (nT) motions with n≥ 2 are demonstrated. Long-period subharmonic motions with periods as long asnine times the excitation period are reported. Finally, several cases of measured chaotic motions are also illustrated through time-traces, phase portraits, Fourier spectra, and Poincare plots which form strange attractors.
机译:提出了在具有间隙的物理系统上进行的大量实验,这些间隙具有组合的参数激励和外部强迫激励。数据表明周期性接触的振荡器中存在几种非线性现象,这些现象在接触界面处会发生间隙。强迫响应曲线中存在跳跃不连续现象,并证明了由n≥2的周期n(nT)运动形成的次谐波共振。报告了周期为激励周期的九倍的长周期次谐波运动。最后,还通过时间轨迹,相位肖像,傅立叶光谱和庞加莱图(它们形成了奇怪的吸引子)说明了几种测量到的混沌运动的情况。

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