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.

A Two Variable Refined Plate Theory for Isogeometric Vibration Analysis of The Functionally Graded Piezoelectric Microplates with Porosities

“…On the order hand, according to the various plate theory, Tanzadeh et al [8] presented the buckling and vibration of the piezoelectric laminated composite plate based on the finite strip method. Based on the finite element method and Euler-Bernoulli beam theory, El Harti et al [9] used the analytical method to study the active vibration control of the FG beams with piezoelectric sensors and actuators. Liu et al [10] proposed the IGA and the simple FSDT with four variables to present the active shape and vibration control of the FG plates with piezoelectric layers in a thermal environment.…”