Advanced Vibration Frequency Control of a Geometrically Non-linear System Resting on a Winkler Foundation Using Electro-Mechanical Coupling Features

In this paper the study of active/passive vibration frequency control through electro–mechanical coupling features in a slender mechanical system resting on a Winkler foundation is presented. The investigation starts with the formulation of a mathematical model to characterize the dynamic behavior of the composite system created of a core beam and integrated layers of piezoelectric actuators. The key parameters influencing the vibration characteristics, such as foundation stiffness, and geometrical and electro–mechanical properties of the system, are examined and discussed. Based on the obtained numerical results it is shown that the reference system dynamic response may be enhanced through the geometrical and physical parameters of the embedded actuators and can be further improved in significantly greater extent through active piezoelectric actuation. On the other hand, it is observed that together with the increase in the elastic foundation stiffness, the effect of actuation decreases.