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.

Highlights

  • Improving the performance of the structural parts can lead to finding, in the same material, different properties, often antagonistic, but optimized at the local level

  • FGMs are constructed from a mixture of ceramic and metal or a combination of different materials

  • Ceramic in a FGM provides a barrier against thermal effects and at the same time protects the metal against corrosion and oxidation, and the material is hard and reinforced by the metal composition

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Summary

Introduction

Improving the performance of the structural parts can lead to finding, in the same material, different properties, often antagonistic, but optimized at the local level. FGMs are constructed from a mixture of ceramic and metal or a combination of different materials. Due to the wide application of FGM, several investigations have been carried out on the mechanical and thermal behavior of the material. Theoretical and experimental studies have been carried out and published on fracture mechanics [4], on the distribution of thermal stresses [5], [6], and on treatment etc. Among these structures, the beams have always remained the interest of researchers because of their applications. The objective of this work is to analyze the vibratory behavior of a multilayer beam in a thermal environment, using the finite element method, the active control via the piezoelectric elements PZT

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