Active vibration control of GPLs-reinforced FG metal foam plates with piezoelectric sensor and actuator layers

Accepted Manuscript

Active vibration control of GPLs-reinforced FG metal foam plates with piezoelectric

sensor and actuator layers

Nam V. Nguyen, Jaehong Lee, H. Nguyen-Xuan

PII: S1359-8368(19)30734-6

DOI: https://doi.org/10.1016/j.compositesb.2019.05.060

Reference: JCOMB 6849

To appear in: Composites Part B

Received Date: 20 February 2019

Revised Date: 4 April 2019

Accepted Date: 5 May 2019

Please cite this article as: Nguyen NV, Lee J, Nguyen-Xuan H, Active vibration control of GPLs￾reinforced FG metal foam plates with piezoelectric sensor and actuator layers, Composites Part B

(2019), doi: https://doi.org/10.1016/j.compositesb.2019.05.060.

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Highlights

• Free vibration and dynamic responses of smart FG metal foam plates reinforced by graphene

platelets (GPLs) are investigated.

• Active vibration control of plates through the integration of piezoelectric sensors and actua￾tors is presented.

• A C

0

-HSDT polygonal finite element formulation (PFEM) enhanced with quadratic serendip￾ity shape functions is employed.

• The influences of the porosity coefficient, weight fraction of GPLs on plate’s behavior are

considered.

1

MANUSCRIPT ACCEPTED

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Active vibration control of GPLs-reinforced FG metal foam plates

with piezoelectric sensor and actuator layers

Nam V. Nguyena

, Jaehong Leeb

, H. Nguyen-Xuanc,b,∗

aFaculty of Mechanical Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam

bDepartment of Architectural Engineering, Sejong University, 98 Gunja-dong, Gwangjin-gu, Seoul 143-747, South

Korea

cCIRTech Institute, Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh City, Vietnam

Abstract

This paper investigates free vibration and dynamic responses of smart FG metal foam plate struc￾tures reinforced by graphene platelets (GPLs). We then analyse active control of FG metal foam

plates with piezoelectric sensor and actuator layers. To provide numerical solution of underlying

problems, we develop a computational approach based on a C

0

-HSDT polygonal finite element

formulation (PFEM), which is suitable for modeling both thick and thin plates. To enhance ac￾curacy of solution, we use in PFEM quadratic serendipity shape functions in combination with a

generalized C

0

-type higher-order shear deformation theory (C

0

-HSDT). The FG core layers are

constituted by combining between two porosity distributions and three GPL dispersion patterns

distributed along the plate’s thickness while two piezoelectric layers are perfectly bonded on the

both bottom and top surfaces of host plate. The mechanical displacement field is approximated

based on C

0

-HSDT while the electric potential distribution through the thickness for each piezo￾electric layer is assumed to be a linear function. For active control, a constant velocity feedback

scheme is employed through a closed loop control with piezoelectric sensors and actuators. The

effect of the porosity coefficient, weight fraction of GPLs on the plate’s behaviors with various

porosity distributions and GPL dispersion patterns are evidently demonstrated through numerical

examples.

Keywords: Polygonal finite element method, Piezoelectric materials, FG metal foam plate,

Graphene platelets reinforcement, Active control.

1 1. Introduction

2 Thanks to superior engineering properties such as lightweight, excellent energy-absorbing ca￾3 pability, great thermal resistant properties, etc., porous materials, such as metal foams, have been

4 widely employed in various fields including aerospace engineering, automotive industrial, biomed￾5 ical and other areas [1, 2, 3, 4]. In addition, to enhance the performance of engineering materials,

∗Corresponding author

Email address: [email protected] (H. Nguyen-Xuan )

Preprint submitted to Elsevier May 9, 2019