Vibrations piezo-control of FGM beam in a thermal environment

Abstract

An analytical method on the active vibration control of a functionally graded beam equipped with layers of piezoelectric sensors and actuators, in a thermal environment, is studied. The study based on Euler-Bernoulli theory and finite element method, applied to a flexible beam divided into a finite number of elements. The equations of motion are obtained by applying the principle of Hamilton. The structure is modeled analytically then numerically and the results of the simulations are presented to visualize the states of their dynamics.

Keywords

• FGM materials
• piezoelectricity
• Euler-Bernoulli
• LQG Control-Kalman.