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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
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
,乃是以內部模型(internal model)法來追蹤抵消干擾力,以達到消除旋
取樣週期(sampling period)與溢出效應(spillover effects)的影響做一

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
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