Please use this identifier to cite or link to this item: `http://hdl.handle.net/11455/1694`
 標題: 複合材料旋轉軸之動態響應與其振動控制之探討Dynamics and Vibration Control of Rotating Composite Shafts 作者: 陳鄭貴Chen, Jeng-Guey 關鍵字: composite material;複合材料;rotating shafts;vibration control;旋轉軸;振動控制 出版社: 機械工程學系 摘要: 本文利用含剪力變形複合材料疊層樑理論，結合座標轉換的觀念，推 導複合材料旋轉軸模式。首先求出複合材料疊層旋轉軸系統之動能、應變 能，再利用哈米爾頓原理和有限元素法，推導出複合材料旋轉軸系統的分 析模式，模式中包括有橫向剪力變形、轉動慣性、迴轉效應、耦合效應等 ，並利用此分析模式求解複材軸系統的迴旋速度、臨界速度等動態特性及 動態響應。 當上述的分析模型能夠正確模擬複材軸的動態行為後，本 文採用耦合模態空間的控制觀念，配合 LQG (Linear Quadratic Gaussian)的控制架構設計兩種數位控制器，來抑制旋轉軸的振動。 第一 種數位控制器，其控制力僅由主軸的回授狀態來產生；第二種數位控制器 ，乃是以內部模型(internal model)法來追蹤抵消干擾力，以達到消除旋 轉軸振動的目的。文中除了探討這兩種數位控制器的控制效果外，也對於 取樣週期(sampling period)與溢出效應(spillover effects)的影響做一 詳盡的評估。In this study, a shear deformable laminated composite beam theory combined with coordinates transformation concept is used todevelop a rotating composite shaft model. Firstly, the kinetic energy and strain energy of the shaft system are found. Then by employing the Hamilton''s principle and the finite element method, the governing equations of the rotating composite shaft system are derived. The model has included the transverse shear deformation, rotatory inertia and gyroscopic effects, as well asthe coupling effect due to composite laminations. This finiteelement model is then used to study the dynamic characteristics such as whirl speed and critical speed, and dynamic responses. The model is verified to correctly predict the dynamic behaviorof rotating composite shafts. Next, the coupled modal-space control(CMSC) concept in conjunction with linear quadratic Gaussian (LQG)control theory is used to design two different types of controller for vibration suppression of the rotating shafts. In the first controller, the control inputs only comes from states feedback, while in the second, in addition an internal model that duplicate the dynamics of the persistent disturbance sources is used. Besides comparing these two digital controllers, in this study theinfluence of the sampling rate and spillover effect is also evaluated. URI: http://hdl.handle.net/11455/1694 Appears in Collections: 機械工程學系所

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