Abstract
IN THIS PAPER, AN ACTIVE CONTROL IS USED TO SUPPRESS THE FLUTTER VIBRA-TION OF A SUPPORT EXCITATION BEAM SUBJECTED TO A FOLLOWER FORCE, USING PIEZOELECTRIC SENSORS/ACTUATORS. THE BEAM IS FIXED TO A MOTION SUPPORT FROM ONE END AND THE OTHER END IS SUBJECTED TO A FOLLOWER FORCE. THE GOVERNING EQUATIONS OF MOTION ARE DERIVED BASED ON THE GENERALIZED FUNCTION THEORY AND LAGRANGE-RAYLEIGH-RITZ TECHNIQUE, CONSIDERING THE EULER-BERNOULLI BEAM THEORY. A ROBUST LYAPUNOV BASED CONTROL SCHEME IS APPLIED TO THE SYSTEM TO SUPPRESS THE INDUCED FLUTTER VIBRATIONS OF THE BEAM. THE MATHEMATICAL MODELING OF THE BEAM WITH CONTROL ALGORITHM IS DERIVED AND IN PURPOSE TO STUDY THE EFFECT OF THE SIZE AND LOCATION OF THE PIEZOELECTRIC LAYERS, AND THE MAGNITUDE OF THE FOLLOWER FORCE ON THE BEAM VIBRATIONS AND STABILITY, THE SYSTEM IS SIMULATED. FINALLY, THE PRESENTED RESULTS OF THE SIMULATION SHOW THE APPLICABILITY OF THE CONTROLLER ALGORITHM.
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