Abstract

Vibration suppression of smart beams using the piezoelectric patch structure is presented in the present work. The smart system consists of a beam as the host structure and piezoceramic patches as the actuation and sensing elements. An experimental set-up has been developed to obtain the active vibration suppression of smart beam. The set-up consists of a smart cantilever beam, the data acquisition system and a LabView based controller. Experiments are performed for different beam specimen. The coupled effcient layerwise (zigzag) theory is used for theoretical finite element modeling. The finite element model is free of shear locking. The beam element has two nodes with four mechanical and a variable number of electric degrees of freedom at each node. In the thickness direction, the electric field is approximated as piecewise linear across an arbitrary number of sub-layers in the piezoelectric layers. Cubic Hermite interpolation is used for the deflection, and linear interpolation is used for the axial displacement and the shear rotation. Undamped Natural Frequencies are obtained by solving the Eigen Value problem using Subspace Iteration method for cantilever beam. A state space model characterizing the dynamics of the physical system is developed from experimental results using PID approach for the purpose of control law design. The experimental results obtained by using the active vibration control system have demonstrated the validity and effciency of PID controller. Experiments are conducted to compare the controlling of various cantilever beams of different sizes. It shows that the present actuator and sensor based control method is effective and the LabView control plots for various beams can be used as a benchmark for analytical work. The results are compared with ABAQUS software and 1D Finite element formulation based on zigzag theory.

Highlights

  • The concept of smart or intelligent structures has started a new structural revolution

  • 5 CONCLUSION Vibration suppression of smart beams using the piezoelectric patch structure is presented in the paper

  • The damping coefficient of the smart system has been determined and a state space model characterizing the dynamics of the physical system is developed from experimental results using PID approach for the purpose of control law design

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Summary

INTRODUCTION

The concept of smart or intelligent structures has started a new structural revolution. Preumont[16] addressed the case in which the output of the system is the acceleration and the control input is a force by using collocated actuator and sensor pairs He presented a compensator involving a second-order filter which enjoys guaranteed stability and exhibits a larger roll-off at high frequency. Zhi-cheng et al [4] presented the theoretical analysis and experimental results of active vibration suppression of a flexible beam with bonded discrete PZT patches sensors / actuators and mounted accelerometer. Zabihollah et al [20] developed a finite element model based on the layerwise displacement theory which incorporates the electro-mechanical coupling effects They developed an experimental set-up to determine the natural frequency and damping factor of the smart laminated beam and compared the results with simulation results. The experimental results are compared with 1D-FE and 2D-FE results

The coupled zig-zag beam theory approximations
Hamilton’s Principle
Finite element model
Dynamic Response and Modal Analysis
PID CONTROLLER
RESULTS AND DISCUSSIONS
CONCLUSION

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