單一壓電致動器在未進行電極切割的模式下驅動時具有較佳的彎曲模態振動效率，而在彎曲模態以外的模態響應抑制效果有限。本研究以壓電電極切割方法使其有效激發/抑致其它較複雜的共振響應並進行懸臂樑主動抑振控制實驗探討。本研究首先利用有限元素法軟體分析懸臂樑應變分佈，並以此決定壓電感測器與致動器合適的設置。根據加入壓電致動器進行應變分析結果，本研究選定懸壁樑側向模態進行壓電電極切割設計，並探討結合第二彎曲模態激振時的多模態主動抑振控制效果。基於高頻振動響應衰減速度較快的物理特性，本研究提出一套新的控制器切換方法分別就彎曲模態與側向模態設計控制器，以便改善控制增益調整效率與整體抑振效能。實驗上首先給予懸臂樑彎曲模態與側向模態激振，再根據頻分析結果決定控制切換時間。壓電電極切換時間選定與控制器切換時間為相同。為了改善控制器切換時產生的顫振現象，本研究使用一平滑切換函數進行控制器切換動作並藉此提升彎曲模態控制效能。本研究針對彎曲模態與側向模態抑振目的進行一系列設計最佳的控制器/電極切換組合與深入探討。實驗結果顯示使用控制器切換方法能提升彎曲模態與側向模態的抑振效能，而加入壓電電極的設計方法可有效抑制側向模態振動響應，同時保留彎曲模態的抑振效果。

Due to its inherent actuation principle, a single piezoelectric actuator has better actuating efficiency at bending modes as well as better vibration suppression for flexible structures, but it may not be suitable for other resonant modes. This thesis presents a novel active vibration control method which combines piezoelectric electrode segmentation and switching control for effective multi-modal vibration suppression control.
In this study, finite element analysis is first conducted to analyze strain distribution of a cantilever beam and determine proper locations for the applied piezoelectric actuator and sensor. Based on a similar finite element analysis which combines the piezoelectric actuator, optimal piezoelectric electrode segmentation is determined to facilitate lateral modal vibration control of the flexible beam. The second bending modal vibration suppression is also considered for multi-modal control. The core idea of the switching control design is based on the fact that high frequency vibration responses decay faster than low frequency vibration responses. By designing the vibration controllers for bending mode and lateral mode individually, this study presents a switching control method in which its switching time is determined through a time-frequency analysis subject to resonant excitation experiments. The switching time for piezoelectric electrode arrangement is same as the controller switching time. To alleviate the chattering phenomena introduced by the switching action, this study applies a smoothing function for switching control. A series of different controller and electrode arrangement configurations are designed for investigation of multi-modal vibration suppression control. Experimental results show that the proposed switching control can suppress both the lateral-mode and bending-mode vibrations effectively. Furthermore, including proper piezoelectric electrode arrangement can achieve improved lateral modal vibration suppression and maintain original effective bending modal vibration suppression at the same time.

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