Abstract

Abstract An active method of vibration control of a smart sandwich plate (SSP) using discrete piezoelectric patches is investigated. In order to actively control the SSP vibration, the plate is equipped with three piezoelectric patches that act as actuators. Based on the classical plate theory, a finite element model with the contributions of piezoelectric sensor and actuator patches on the mass and stiffness of the sandwich plate was developed to derive the state space equation. LQR control algorithm is used in order to actively control the SSP vibration. The accuracy of the present model is tested in transient and harmonic loads. The applied piezoelectric actuator provides a damping effect on the SSP vibration. The amplitudes of vibrations and the damping time were significantly reduced when the control is ON.

Highlights

  • An active method of vibration control of a smart sandwich plate (SSP) using discrete piezoelectric patches is investigated

  • In order to actively control the SSP vibration, the plate is equipped with three piezoelectric patches that act as actuators

  • Based on the classical plate theory, a finite element model with the contributions of piezoelectric sensor and actuator patches on the mass and stiffness of the sandwich plate was developed to derive the state space equation

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Summary

Introduction

Abstract: An active method of vibration control of a smart sandwich plate (SSP) using discrete piezoelectric patches is investigated. [9] proposed a finite element model using eight-noded isoparametric element based on the first order shear deformation theory to investigate the stretching-bending coupling effect of the piezoelectric patches on the stability of smart composite plate. [10] developed a finite element model based on the third order shear theory of a composite plate with four piezoelectric patches. An important motivation of this work is to present a finite element model based on the plate classical theory using Ansys to design structure and algorithm controller (LQR) to suppress the vibration. A linear quadratic regulator algorithm (LQR) is developed to investigate the active vibration control of cantilever smart sandwich plate boundary conditions under two different excitations, transient and harmonic loads

Mathematical Modeling
Linear piezoelectric equation
Dynamic system equation
Linear quadratic algorithms
Material of the sandwich plate
Algorithm of LQR control scheme
Model validation
Fist simulation
Second simulation
Conclusion
Full Text
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