Abstract

Abstract In the present paper, the active vibration control of a composite beam using piezoelectric actuator is investigated. The space state equation is determined using system identification technique based on the structure input output response provided by ANSYS APDL finite element package. The Linear Quadratic (LQG) control law is designed and integrated into ANSYS APDL to perform closed loop simulations. Numerical examples for different types of excitation loads are presented to test the efficiency and the accuracy of the proposed model.

Highlights

  • Composite structures offer a combination of lowdensity, high-strength and lightweight which make them extensively merged in many industrial sectors such as aerospace and automotive

  • The last few decades have witnessed a huge amount of research reports dedicated to analyse the active vibration control of composite structures with distributed piezoelectric sensors and actuators

  • The investigation is mainly performed either analytical or by using finite element method, for the analytical approaches reader can be refer to [5, 15,16,17], in this paper will focus on the works done using finite elements methods [14] developed a finite element model based on third order laminate theory for the active vibration control of composite beams with distributed piezoelectric sensors and actuators [6] developed a finite element formulation for modelling and analysis of isotropic as well as orthotropic composite beams with distributed piezoelectric actuators subjected to both mechanical and electrical loads [2] suggested a finite element method (FEM) to study the active vibration control smart FGM beam based on higher-order shear deformation theory

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Summary

Introduction

Composite structures offer a combination of lowdensity, high-strength and lightweight which make them extensively merged in many industrial sectors such as aerospace and automotive. [21] proposed optimization technique of the placement and size and the feedback control gains of the control system for vibration damping of beam structures. Extra research papers are used commercially software such APDL which has the ability to model piezoelectric materials and perform the investigation of the active vibration control. [13] proposed a performance criterion for the optimization of piezoelectric patch actuator locations on flexible plate structures using APDL and genetic algorithm. The use of certain control algorithm such as LQR requires a state space mathematical model of the smart structure. First the smart structure is modelled in the commercial finite element software APDL, after the system identification toolbox in Matlab is used to get the state space model based on the input/output time histories of the structure. Final the LQG control law is designed and integrated into APDL to perform closed loop simulations

Modeling of smart composite beam
Identification of the state space equation
Optimal Controller Design
Results and discussion
Conclusions
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