Analysis of the Vibration Suppression of Double-Beam System via Nonlinear Switching Piezoelectric Network

Fengling Zhang,Jiuzhou Liu,Jing Tian

doi:10.3390/machines9060115

Abstract

In this paper, a method to suppress the vibration of a double-beam system with nonlinear synchronized switch damping on the inductor via a network (SSDI-net) is proposed. Unlike the classical linear piezoelectric shunt damping, SSDI-net is a nonlinear piezoelectric damping. A double-beam system with SSDI-net was simplified to a lumped parameter electromechanical coupling model and analyzed by using the multi-harmonic balance method, at first with alternating frequency–time techniques (MHBM/AFT). Then, a new lower-power autonomous switching control circuit board was designed, based on SSD technique, and vibration control experiments using a double-beam system with an SSDI network are conducted, to verify the validity of the proposed analysis method and its calculation results. The nonlinear switching piezoelectric network proposed in this article can increase the voltage inversion factor. Furthermore, future applications of this switching piezoelectric network technology in the vibration suppression of bladed-disk structures in aero engines can reduce the number of switches by at least half and obtain almost the same damping effect.

Highlights

RL resonant shunting damping is a method to get the optimal damping effect by matching the resonance frequencies of the electrical circuit with the mechanical structure [1,2,3,4]
Synchronized switch damping (SSD) using piezoelectric materials is a semi-active piezoelectric damping method, first proposed by Richard et al [7]. It will produce a damping effect when a synchronized switch circuit is connected across the positive electrode and the negative electrode of the piezoelectric patch bonded on the mechanical structure
A synchronized switch damping based on an inductor (SSDI) is applied to the SSD circuit

Summary

Introduction

RL resonant shunting damping is a method to get the optimal damping effect by matching the resonance frequencies of the electrical circuit with the mechanical structure [1,2,3,4]. In order to apply the SSD method to the vibration control of aero-engine bladed disks, a series of in-depth theoretical studies were made by Liu et al [8,20] They established an efficient algorithm for the dynamic characteristics analysis of strongly nonlinear systems, based on MHBM/AFT. In view of the prominent advantages of piezoelectric materials in structural vibration suppression, and the problems found in the related research, this paper develops a synchronized switch damping on the inductor via a double-beam system with a network (SSDI-net), and carries out theoretical and experimental studies aimed at the future application of this nonlinear switching network in a bladed-disk structure. The experiment results show that the SSDI network constructed in this paper is realizable and effective In the future, this technique can be used in the vibration suppression of aero-engine bladed disks and can reduce the number of switches by sharing the switches between blades

Single-Beam System with SSDI Shunt

Nonlinear Complex Modal Analysis

Double-Beam Experiment with SSDI Network

Findings

Conclusions