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首页> 外文期刊>Shock and vibration >Positive Position Feedback Control for High-Amplitude Vibration of a Flexible Beam to a Principal Resonance Excitation
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Positive Position Feedback Control for High-Amplitude Vibration of a Flexible Beam to a Principal Resonance Excitation

机译：柔性梁高振幅振动对主共振的正位置反馈控制

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摘要

The application of active linear absorber based on positive position feedback control strategy to suppress the high-amplitude response of a flexible beam subjected to a primary external excitation is developed and investigated. A mathematical nonlinear model that describes the single-mode dynamic behavior of the beam is considered. The perturbation method of multiple scales is employed to find the general nonlinear response of the system and four first-order differential equations governing the amplitudes and phases of the responses are derived. Then a stability analysis is conducted for the open- and closed-loop responses of the system and the performance of the control strategy is analyzed. A parametric investigation is carried out to investigate the effects of changing the damping ratio of the absorber and the value of the feedback gain as well as the effect of detuning the frequency of the absorber on the responses of the system. It is demonstrated that the positive position feedback control technique is effective in reducing the high-amplitude vibration of the model and the control scheme possesses a wide suppression bandwidth if the absorber's frequency is properly tuned. Finally, the numerical simulations are performed to validate the perturbation solutions.
机译：开发并研究了基于正位置反馈控制策略的有源线性吸收器在抑制一次外部激励作用下的柔性梁的高振幅响应中的应用。考虑描述光束的单模动态行为的数学非线性模型。采用多尺度摄动法求出系统的一般非线性响应，并推导了控制响应幅度和相位的四个一阶微分方程。然后对系统的开环和闭环响应进行稳定性分析，并分析控制策略的性能。进行了参数研究，以研究改变吸收器的阻尼比和反馈增益的值以及使吸收器的频率失谐对系统响应的影响。结果表明，正位置反馈控制技术在减小模型的高振幅振动方面是有效的，并且如果适当地调整了吸收体的频率，则该控制方案具有较宽的抑制带宽。最后，进行了数值模拟以验证扰动解。

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