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OPTIMAL DELAYED FEEDBACK VIBRATION ABSORBER FOR FLEXIBLE BEAMS

机译：柔性梁的最佳延迟反馈振动吸收器

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摘要

A new tunable vibration absorber, Delayed Resonator (DR), is considered on a flexible beam. The point of absorber attachment (PAA) on the beam is shown to be quieted (i.e., an artificial node is introduced at this point). This is achieved if the excitation forcing is simple harmonic. The DR absorber is tuned to this frequency and this tuning can track a relatively fast varying excitation frequency. There is, however, a short-fall of DR absorber: as they eliminate the vibration completely at the tuning frequency they introduce some vulnerable side frequencies. This scenario suggests a trade-off: less perfection in suppressing the tuning frequency, with reduced vulnerability at the side frequencies. In order to resolve this trade-off an optimization procedure is suggested which forms the main contribution of this text. The dynamics of the beam, exciter, and absorber setting is studied in modal coordinates. This constrained optimization problem is solved utilizing direct update method, one of the constraints being the stability assurance of the proposed active system. Example simulations are presented to show the benefits of this trade-off.
机译：在挠性梁上考虑了一种新型的可调式减振器，即延迟谐振器（DR）。光束上的吸收器连接点（PAA）已显示为静音（即在此点引入了人工节点）。如果励磁强迫是简单的谐波就可以实现。 DR吸收器被调谐到该频率，并且该调谐可以跟踪相对快速变化的激励频率。但是，DR吸收器的不足之处在于：由于它们完全消除了调谐频率上的振动，因此引入了一些易受干扰的旁侧频率。这种情况提出了一个折衷方案：在抑制调谐频率方面不够完美，并且在旁侧频率上的脆弱性降低了。为了解决这一折衷方案，提出了一种优化程序，该程序构成了本文的主要贡献。在模态坐标中研究梁，激励器和吸收器设置的动力学。利用直接更新方法解决了该约束优化问题，其中之一是所提出的主动系统的稳定性保证。给出了示例仿真，以显示这种权衡的好处。

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