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research-article

Flexoelectric Actuation and Vibration Control of Ring Shells

[+] Author and Article Information
Hornsen TZOU

Interdisciplinary Research Institute of Aeronautics and Astronautics College of Aerospace Engineering, State Key Lab of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
hstzou@nuaa.edu.cn

Bolei Deng

StrucTronics and Control Lab, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China
dengbolei@zju.edu.cn

Huiyu LI

The State Key Lab of Fluid Power Transmission and Control, School of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China
dahuadvr@126.com

1Corresponding author.

ASME doi:10.1115/1.4036097 History: Received May 31, 2015; Revised January 10, 2017

Abstract

The converse flexoelectric effect, i.e., the polarization (or electric field) gradient induced internal stress (or strain), can be utilized to actuate and control flexible structures. This study focuses on the microscopic actuation behavior and effectiveness of a flexoelectric actuator patch laminated on an elastic ring shell. An atomic force microscope (AFM) probe is placed on the upper surface of the flexoelectric patch to induce an inhomogeneous electric field resulting in internal stresses of the actuator patch. The flexoelectric stress-induced membrane control force and bending control moment regulate the ring vibration and their actuation mechanics, i.e., transverse and circumferential control actions, are respectively studied. For the transverse direction, the electric field gradient quickly decays along the ring thickness, resulting in a nonuniform transverse distribution of the induced stress and this distribution profile is not influenced by the actuator thickness. The flexoelectric induced circumferential membrane control force and bending control moment resemble the Dirac delta functions at the AFM contact point. The flexoelectric actuation can be regarded as a localized drastic bending to the ring. To evaluate the actuation effect, dynamic responses and controllable displacements of the elastic ring with flexoelectric actuations are analyzed with respect to design parameters, such as the flexoelectric patch thickness, AFM probe radius, ring thickness and ring radius.

Copyright (c) 2017 by ASME
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