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Adaptive damping of piezoelastic structures via digital implementation of an electrical impedance

This contribution is concerned with adaptive damping of plate-like structures equipped with a piezoelectric patch. Damping of mechanical modes can be accomplished by connecting simple electrical impedances at the terminals of the piezoelectric patch. For reason of miniaturization and robustness with respect to a shift in eigenfrequencies of the mechanical structure, the authors propose the algorithmic implementation of the electrical behavior of the impedance on a microcontroller. The digital approach enables real time updating of parameters associated with the artificial electrical impedance. The problem of finding optimal parameters is addressed and an update law for online tuning of parameters is introduced. The performance of the algorithm is evaluated on the mathematical model of a Kirchhoff plate equipped with a piezoelectric patch shunted by a resistor.