Dynamic Analysis and Active Vibration Control of Flexible Beams Using Piezoelectric Materials: an Optimal Approach

Piezoelectric materials are used in various applications as active vibration control, fault detection in structures and piezoelectric accelerators, therefore, analysis of such materials seems to be necessary in modern mechanical constructions. In this paper, the dynamic analysis of the beam equipped with piezoelectric patches, used as both sensor and actuator, is presented and the beam deflection due to external inputs (force or voltage) is analyzed via modal analysis method. Then, constructing a model for the flexible beam, by the assumed mode approach, an active vibration control is developed by optimal positioning of piezoelectric patches. Simulation results are also presented to illustrate the effectiveness of the methods proposed for dynamic analysis and active vibration control.