Dynamic analysis and vibration control of smart structural materials

Active control of vibration of flexible beams with various boundary conditions were achieved by using distributed piezoelectric actuators. Properties of piezo film sensor and actuator were incorporated by using the strain theory for a deformed structure. The governing equation of this system involving the control voltage was derived based on the equilibrium equation. It is found that the approach has some advantages to simplify the derivation as well as the computer simulation of the vibration control. The control algorithm was derived using Lyapunov's direct method. All modes of the beam can be controlled simultaneously by taking the angular velocity as its control parameter.; Computer simulations of the active vibration control for flexible beams were done by using the feedback control loop. The experimental setup including some device circuits were used to verify the predictions. Results from simulations as well as experimental analysis were in satisfactory agreement. In addition to the Lyapunov control, other parameters were also used to perform the vibration control. The results indicated that linear velocity is also a good control parameter for vibration control of a beam system.; Preliminary investigation of smart cantilever plate was accomplished. Without deriving a control algorithm, the proper control parameter was decided by examining the control effectiveness of the simulation. It is found that bending angular velocity as well as linear velocity are the most effective control parameters to suppress vibration of the cantilever plate.