Abstract
In this paper, a cantilevered column bonded with a piezoelectric layer, which is employed as an actuator, is investigated. Firstly, the differential equation governing the transverse deflection of the column, in the presence of external axial loads, is derived. Then, two feedback control strategies, namely, displacement feedback control and velocity feedback control, are designed to control the vibration of the column. The analytical and semi-analytical solutions for the governing equations are deduced for these two control strategies, respectively. The closed-form formulae obtained are illustrated using a numerical example. In the example, the vibration characteristics of a cantilevered steel column bonded with a polyvinylidene fluoride layer are computed. The numerical results show that the designed velocity feedback control method provided satisfactory vibration control by damping out the vibration of the structure with an acceptable feedback voltage, while the displacement feedback control method was unable to do this.
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