Analysis on vibration suppression of mistuned bladed disk via bi-periodic distributed piezoelectric shunt damping

A eletromechanical coupling system was established by introducing piezoelectric shunt circuit into mistuned bladed disk. The eletromechanical coupling system dynamic equations were derived, and the suppression effect on the amplitude magnification were analyzed. By constructing bi-periodic distributed piezoelectric shunt circuit, vibration suppression effect of bi-periodic distributed piezoelectric shunt damping was analyzed. The results indicate that, piezoelectric shunt damping (both in single periodic and in bi-periodic) can reduce the amplitude magnification of the mistuned bladed disk effectively, and 99.7% of the statistical analysis results show that the amplitude magnification factor of bi-periodic eletromechanical coupling system is less than 1, which means the amplitude magnification of mistuned bladed disk can be eliminated almost completely. Bi-periodic distributed piezoelectric shunt circuit outperforms the single one in some proper design. What' more, with the presence of the piezoelectric shunt damping, the threshold value of amplitude magnification factor nearly disappears, which means the mistuning robustness of the bladed disk has been improved obviously.