Conclusion
Vibration control and analysis of a rotating FGM beam with a lumped mass and bonded piezoelectric films in temperature field were investigated. The thermo-electro-mechanical dynamic model of the smart system was developed based on the HOC modeling theory. Equations of motion of the system were derived by employing Lagrange’s equations. The characteristics of the active control of the thermally induced vibration of the rotating FGM beam were investigated. According to the numerical results, the cost of the vibration control can be reduced by selecting the control gain properly. The influence of high-order nonlinearity in the present HOC model on the behaviors of dynamics and control of flexible structures in thermal environment should be included. The effect of temperature variation on the free vibration characteristics of the rotating smart structure is quite gentle despite non-negligibility. Besides, parameters such as the volume fraction exponent of the FGM beam, the location of the lumped mass and the angular velocity of the hub have significant impacts on the dynamic behaviors of the system. The results of this paper can be used to provide theoretical basis for vibration and control analysis for blades, robot arms, and other rotary flexible structures operating in high temperature field.
