Study on vibration of mistuned bladed disk with bi-periodic piezoelectric network

Abstract

The paper deals with the vibration suppression of a bladed disk structure with a piezoelectric network. The piezoelectric network without inductors has a different period (so-called bi-period) from that of the bladed disk. The research focuses on reducing amplified response or localized vibration, a phenomenon existing in bladed disks and induced by mistuning. The study is based on an electromechanical and cyclic-periodic lumped parameter model with two degrees of freedom per sector. Both mechanical mistuning and electrical mistuning have been taken into account. The modified modal assurance criterion is adopted to evaluate the ability of bi-periodic piezoelectric networks for suppressing vibration. The Monte Carlo simulation is used to calculate the modified modal assurance criterion of the system with random mistuning. To validate the numerical results, an experiment research is also carried out. In order to perform a comparison between numerical results and experimental results, the method of equivalent blisk model is introduced to identify the lumped parameters of the experimental model. In the experiment, traveling wave excitations are simulated as dynamical loads to excite the resonant vibration of coupling bladed disks in a rotating state. The results show that with a good design, the bi-periodic piezoelectric network can effectively suppress the amplified-forced-response due to the mistuning of the system, even though there are less piezoelectric patches and electric elements in the system compared to the system with piezoelectric shunt circuits.