Vibration Analysis and Control of Cantilever Plate by Using Finite Element Analysis

Mechanical vibrations induced in flexible structures such as beams and plates have been researched through various optimization functions and control theories to optimize transient response dynamic characteristics. Piezoelectric materials sensors/actuators have been used to reduce and control these vibrations. However, stiffened plate has not been investigated and it is a main and important part of aerospace and light weight mechanical structures. The optimal placement of PZT sensor/actuator pairs on a stiffened plate to determine the optimal controller design and to optimize cost and system response have not studied yet. So, the objective of this project is to find the optimal location of sensor/actuator pairs and design optimal controller for beam, plate and stiffened plate to suppress mechanical vibrations theoretically and experimentally. The finite element method will be use to model the structure with piezoelectric material. The genetic algorithm will apply to find optimal placement of a number of piezoelectric sensor/actuator pairs, with objective functions of minimize control force, displacement, velocity, and the error. However, velocity feedback and linear quadratic regulator closed loop control will apply to study the transient dynamic response for the first six modes.