Active vibration control of functionality graded piezoelectric material plate

Significance 

Recent technological advancement has led to the development of functionally graded materials which are generally composites formed by combining different materials. In particular, plates made of functionally graded materials have attracted significant attention of researchers. However, to unleash their full potential, understanding their dynamic and static characteristics is highly desirable. Unfortunately, the vibration control of functionally graded materials has remained a great challenge. Among the available functionally graded materials, piezoelectric materials are widely used in various application owing to their electromagnetic characteristics. These materials are generally susceptible to various defects that negatively impact on their functionalities.

For instance, the composite gradient laminated structure is affected by the induced stress between the layers due to the material discontinuities. To this note, researchers have been looking for alternatives methods for reducing these defects.

Presently, several methods have been developed to control the vibration in functionally graded material plates. As a matter of fact, most of these methods involve the use of piezoelectric fiber-reinforced composite based sensors for vibration analysis control. However, active vibration control of plates that involving piezoelectric materials with varying gradient thickness have not been fully explored.

To this note, Dr. Jinqiang Li, Yu Xue (PhD candidate) and Professor Fengming Li from Harbin Engineering University together with Professor Yoshihiro Narita at Hokkaido University investigated active vibration control of functionally graded piezoelectric material plate under uniform and non-uniform electric fields. Fundamentally, the experiment was performed on four simple support edges. Their work is currently published in the research journal, Composite Structures.

The authors evaluated the dynamic and static characteristics of functionally graded piezoelectric material plates. Next, they derived the equation of the coupling system using the Rayleigh-Ritz and Hamilton’s principle methods. Additionally, effective active damping was obtained via velocity feedback control methods. Furthermore, the authors utilized different types of piezoelectric materials to enhance the vibration control accuracy while at the same time applied varying voltages on different parts of the plate. Eventually, they investigated the parameters of the piezoelectric materials and their corresponding effects on the vibration control of the functionally graded piezoelectric material plates.

The authors observed that the distribution of piezoelectric materials exhibited significant effects on the vibration control of the functionally graded piezoelectric material plates. In addition, other factors such as volume fraction index and external voltage position equally had significant effects on the active vibration control. For instance, increasing the piezoelectric density from inside to outside of the plate improved the accuracy of the vibration control results. This was attributed to the fact that the outer layer highly influenced the active damping and stiffness properties of the plate than the inner layer.

On the basis of this study, the author further analyzed the active control of thermal buckling of functionally graded piezoelectric material plate using a temperature feedback control strategy, and the advantages of functionally graded piezoelectric material plate are discussed by comparing with other structures. (Li, J., Li, F. (2019). Active control of thermal buckling for plates using a temperature feedback control method, Smart Materials and Structures, 2019, 28(4): 045001.)

In summary, the research team successfully demonstrated the vibration control of functionally graded piezoelectric material plates. In general, the authors pointed out that optimizing the structure of functionally graded piezoelectric material plates and the control voltage are the key consideration in enhancing the viability of the control effects. Altogether, the study will advance the design and optimization of functionally graded piezoelectric material with desired properties for various applications.

Active vibration control of functionality graded piezoelectric material plate - Advances in Engineering
Fig. 1 The configuration of the FGPM plate and equivalent model constituted of a series of layers in thickness direction.
Active vibration control of functionality graded piezoelectric material plate - Advances in Engineering
Fig. 2 (a) The vibration amplitudes w vs. dimensionless frequency ω*. (b) The damping ratio ζ vs. control gain K with N=1 under different k0. (c) The control voltage V0 vs. dimensionless frequency ω* with k0=0.25 and N=1.
Active vibration control of functionality graded piezoelectric material plate - Advances in Engineering
Fig. 3 The graph of volume fraction VB vs. z for different distributed types.
Active vibration control of functionality graded piezoelectric material plate - Advances in Engineering
Fig. 4 The deformation trends of a thin plate under thermal load and a thin piezoelectric plate under external voltage and 4 kinds of combination structures of non piezoelectric materials and piezoelectric materials.

About the author

Jinqiang Li is an associate professor and PhD supervisor of Harbin Engineering University. He received his M.S. degree in General and Fundamental Mechanics from Harbin Institute of Technology, Harbin, China, in 2008, and the Ph.D. in Human Mechanical Design from the Hokkaido University, Sapporo, Japan, in 2013.

His research interests include Analysis and control of vibration and buckling, Acoustic metamaterial structure design, Optimal design of composite structures and Elastic waves and impact transient responses in solids.

Email addresses: [email protected]; [email protected]

About the author

Yu Xue is currently a Ph.D. student at the College of Aerospace and Civil Engineering, Harbin Engineering University. He received his M.S. degree from Taiyuan University of Technology in 2019. His research interests focus on the Structural vibration and control and Advanced structure design.

Email addresses: [email protected]

About the author

Prof. Fengming Li is a famous expert in the field of structure vibration and noise control in China. He works as a senior professor in Harbin Engineering University. His research areas include Dynamic analysis and control of aircraft structure, Vibration and noise control of new material structure and Nonlinear dynamic analysis and control of structure.

Email addresses: [email protected]

Reference

Li, J., Xue, Y., Li, F., & Narita, Y. (2019). Active vibration control of functionally graded piezoelectric material plate. Composite Structures, 207, 509-518.

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