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Studies of Dynamic Behaviors of Rotating Composite Beams Containing Piezoelectric Strips
The objective of this thesis is to develop a one-dimensional three-node finite element model to simulate the vibration of rotating beams made of composite materials. This model has included structural effects such as transverse shear deformation, twisting, warping, chordwise curvature, sidewise bending, and deformation coupling. In addition, the mixed Lagrangian-Hermite type of interpolation functions are used to represent the twisting deformation, while Lagrangian interpolation functions are used for other displacement variables. As a result, the finite element model developed here is able to predict the vibration of rotating composite beams quite accurately. Furthermore, piezoelectric materials are added to the structure. They are used as actuators and sensors to monitor the dynamic responses of the rotating composite beam. The displacement field assumed for a beam adopted by R. M. Chang is also considered here but with a slight modification. The expressions of strain energy, kinetic energy as well as other energy terms of the rotating composite beam are obtained using this displacement field and the constitutive equations of materials. By employing the Hamilton''s principle together with the finite element method, the equations of motion as well as the sensor equations of rotating delaminated composite beams containing piezoelectric materials are derived. The effects of the stagger angle, precone angle and the rotating speed on the frequencies of the rotating delaminated composite beam and the intact one are investigated. Finally, the frequency domain responses of the above two types of composite beams are evaluated through the use of the piezoelectric actuators and sensors.
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