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Nonlinear dynamics of vortex-induced vibration of a nonlinear beam under high-frequency excitation
International Journal of Non-Linear Mechanics ( IF 3.2 ) Pub Date : 2020-12-03 , DOI: 10.1016/j.ijnonlinmec.2020.103656
Pradyumna Kumar Sahoo , S. Chatterjee

The present article studies the nonlinear dynamics and effects of high-frequency excitations (HFE) on a forced 2-D coupled beam and wake oscillator model ascribing vortex-induced vibrations. Oscillatory strobodynamics (OS) theory is employed for studying the characteristics of the system in slow time-scale. Linear stability analysis is performed near the equilibrium point of the system for both with and without sinusoidal high-frequency excitation. The method of multiple scales (MMS) is implemented to get the approximate periodic solutions of both the beam and wake responses. It is observed that for pure self-excitation the vortex induced instabilities are suppressed by the high-frequency excitation. However, shifting of primary resonance curve and changing of quasi-periodic attractor to periodic attractor are observed under the influence of high-frequency excitation in the simultaneous self-excited and forced excited system. Furthermore, for the existing system the quasi-periodic and transient routes to chaos are discussed. Numerical results show that the chaotic responses are changed into periodic responses for the higher strength of high-frequency (HF) excitation (product of amplitude and frequency of high-frequency excitation). Direct numerical simulations are carried out by MATLAB SIMULINK to validate the analytical results. Overall, an appropriately chosen high-frequency excitation can be beneficial in reducing the response amplitude as well as suppressing the complex instabilities in the system.



中文翻译:

高频激励下非线性光束涡旋振动的非线性动力学

本文研究了非线性动力学和高频激励(HFE)在强迫二维耦合梁和尾迹振荡器模型中归因于涡激振动的影响。振荡频流动力学(OS)理论用于研究慢速范围内的系统特性。在有和没有正弦波高频激励的情况下,都在系统的平衡点附近进行线性稳定性分析。实施多尺度方法(MMS)以获取波束和尾波响应的近似周期解。可以看出,对于纯自激,通过高频激励可以抑制涡旋引起的不稳定性。然而,在同时自激和强迫激励系统中,在高频激励的影响下,观察到了主共振曲线的移动和准周期吸引子向周期性吸引子的变化。此外,对于现有系统,讨论了到混沌的准周期性和瞬时路径。数值结果表明,对于更高强度的高频(HF激励幅度和频率的乘积),混沌响应变为周期性响应。MATLAB SIMULINK进行直接数值模拟以验证分析结果。总体而言,适当选择的高频激励可以是在降低响应振幅以及抑制在系统中的不稳定性复杂有益。

更新日期:2020-12-10
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