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Optimal and robust modal control of a flexible structure using an active dynamic vibration absorber

机译:使用主动动态吸振器的柔性结构的最优鲁棒模态控制

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This paper is concerned with feedback vibration control of a lightly damped flexible structure that has a large number of well-separated modes. A single active electrical dynamic absorber is used to reduce a particular single vibration mode selectively or multiple modes simultaneously. The absorber is realized electrically by feeding back the structural acceleration at one position to a collocated piezoceramic patch actuator via a controller consisting of one or several second order lowpass filters. A simple analytical method is presented to design a modal control filter that is optimal in that it maximally flattens the mobility frequency response of the target mode, as well as robust in that it works within a prescribed maximum control spillover of 2dB at all frequencies. Experiments are conducted with a free-free beam to demonstrate its ability to control any single mode optimally and robustly. It is also shown that an active absorber with multiple such filters can effectively control multiple modes simultaneously.
机译:本文涉及具有大量良好分离模式的轻阻尼柔性结构的反馈振动控制。单个有源电动态吸收器用于有选择地减小特定的单个振动模式或同时减小多个模式。通过一个由一个或几个二阶低通滤波器组成的控制器,将一个位置的结构加速度反馈到并置的压电陶瓷膜片致动器,从而实现吸收器的电气化。提出了一种简单的分析方法来设计一种模态控制滤波器,该滤波器的最佳之处在于可以最大程度地平坦化目标模式的迁移率频率响应,并且可以在所有频率下在规定的最大控制溢出范围内(2dB)工作,从而具有鲁棒性。用自由光束进行实验,以证明其最佳且稳定地控制任何单模的能力。还显示出具有多个这样的滤波器的有源吸收器可以有效地同时控制多个模式。

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