Piezoelectric Patches for Deflection Control of Functionally Graded Carbon Nanotube-Reinforced Composite Plates

Article Preview

Abstract:

In the present work, a smart structure is being investigated, where a functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plate is equipped with piezoelectric actuators to provide vibration control. Due to their high mechanical properties coupled with lightweight, FG-CNTRCs are mainly used in the aerospace industry and in advanced engineering applications. The CNTs have a linear and non-linear distribution along the thickness of the plate and are distributed according to five configurations, namely: UD, FG-X, FG-O, FG-A and FG-V. The first order shear deformation (FOSD) theory is considered in the formulation of a 9-node quadratic finite element with 5 degrees-of-freedom per node, and an additional degree of freedom is provided for the piezoelectric layer. The model developed in this study assesses the free vibration behavior and controls the nanocomposite plate deflection through the electromechanical coupling factor piezoelectric. In addition, it investigates: (i) the effect of the plate configuration, (ii) the CNT volume fraction, (iii) the CNT destruction patterns, (iv) the linear and nonlinear distribution of CNTs, (v) the number of CNTRC ply, (vi) the boundary conditions and (vii) the dimensions with different locations of actuators. The results obtained show the first natural frequencies for all configurations, which are considered to be in good agreement with those available in the literature and illustrate that the effective stiffness of the nanocomposite plates can be improved further when the reinforcement is dispersed according to the FG-X pattern. In addition, for the case of the deflection control analysis, results indicate that the distributed piezoelectric layers (actuators) attenuate the deflection of the CNTRC to the desired tolerance. It is noted that patches with partial coverage compared to the case of total coverage of piezoelectric layers require more electrical power to reach the same level of attenuation. The developed numerical model is intended to be used in a variety of potential advanced engineering applications.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

3-14

Citation:

Online since:

March 2023

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2023 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] I. Khan, C.S. Kamma-Lorger, S.D. Mohan, A. Mateus, G.R. Mitchell, The exploitation of polymer based nanocomposites for additive manufacturing: a prospective review, in: Applied Mechanics and Materials, Trans Tech Publ, 2019: p.113–145.

DOI: 10.4028/www.scientific.net/amm.890.113

Google Scholar

[2] S.D. Mohan, M. Nazhipkyzy, P. Carreira, C. Santos, F.J. Davis, A. Mateus, G.R. Mitchell, Direct digital manufacturing of nanocomposites, in: Applied Mechanics and Materials, Trans Tech Publ, 2019: p.92–97.

DOI: 10.4028/www.scientific.net/amm.890.92

Google Scholar

[3] R. Purohit, K. Purohit, S. Rana, R.S. Rana, V. Patel, Carbon nanotubes and their growth methods, Procedia Materials Science. 6 (2014) 716–728.

DOI: 10.1016/j.mspro.2014.07.088

Google Scholar

[4] Z.-X. Wang, H.-S. Shen, Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets, Composites Part B: Engineering. 43 (2012) 411–421.

DOI: 10.1016/j.compositesb.2011.04.040

Google Scholar

[5] P. Zhu, Z.X. Lei, K.M. Liew, Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory, Composite Structures. 94 (2012) 1450–1460.

DOI: 10.1016/j.compstruct.2011.11.010

Google Scholar

[6] B. Huang, Y. Guo, J. Wang, J. Du, Z. Qian, T. Ma, L. Yi, Bending and free vibration analyses of antisymmetrically laminated carbon nanotube-reinforced functionally graded plates, Journal of Composite Materials. 51 (2017) 3111–3125.

DOI: 10.1177/0021998316685165

Google Scholar

[7] C.-L. Thanh, P. Phung-Van, C.H. Thai, H. Nguyen-Xuan, M.A. Wahab, Isogeometric analysis of functionally graded carbon nanotube reinforced composite nanoplates using modified couple stress theory, Composite Structures. 184 (2018) 633–649.

DOI: 10.1016/j.compstruct.2017.10.025

Google Scholar

[8] R. Ansari, J. Torabi, M.F. Shojaei, Buckling and vibration analysis of embedded functionally graded carbon nanotube-reinforced composite annular sector plates under thermal loading, Composites Part B: Engineering. 109 (2017) 197–213.

DOI: 10.1016/j.compositesb.2016.10.050

Google Scholar

[9] M.I. Ansari, A. Kumar, S. Fic, D. Barnat-Hunek, Flexural and free vibration analysis of CNT-reinforced functionally graded plate, Materials. 11 (2018) 2387.

DOI: 10.3390/ma11122387

Google Scholar

[10] Y. Chiker, M. Bachene, M. Guemana, B. Attaf, S. Rechak, Free vibration analysis of multilayer functionally graded polymer nanocomposite plates reinforced with nonlinearly distributed carbon-based nanofillers using a layer-wise formulation model, Aerospace Science and Technology. 104 (2020) 105913.

DOI: 10.1016/j.ast.2020.105913

Google Scholar

[11] A. Melaibari, A.A. Daikh, M. Basha, A. Wagih, R. Othman, K.H. Almitani, M.A. Hamed, A. Abdelrahman, M.A. Eltaher, A Dynamic Analysis of Randomly Oriented Functionally Graded Carbon Nanotubes/Fiber-Reinforced Composite Laminated Shells with Different Geometries, Mathematics. 10 (2022) 408.

DOI: 10.3390/math10030408

Google Scholar

[12] A. Melaibari, A.A. Daikh, M. Basha, A.W. Abdalla, R. Othman, K.H. Almitani, M.A. Hamed, A. Abdelrahman, M.A. Eltaher, Free Vibration of FG-CNTRCs Nano-Plates/Shells with Temperature-Dependent Properties, Mathematics. 10 (2022) 583.

DOI: 10.3390/math10040583

Google Scholar

[13] E.F. Crawley, J. De Luis, Use of piezoelectric actuators as elements of intelligent structures, AIAA Journal. 25 (1987) 1373–1385.

DOI: 10.2514/3.9792

Google Scholar

[14] E.F. Crawley, K.B. Lazarus, Induced strain actuation of isotropic and anisotropic plates, AIAA Journal. 29 (1991) 944–951.

DOI: 10.2514/3.10684

Google Scholar

[15] S.C. Her, C.Y. Liu, The deflection of a simply supported plate induced by piezoelectric actuators, Journal of Mechanical Science and Technology. 21 (2007) 1745.

DOI: 10.1007/bf03177404

Google Scholar

[16] K.Y. Lam, X.Q. Peng, G.R. Liu, J.N. Reddy, A finite-element model for piezoelectric composite laminates, Smart Materials and Structures. 6 (1997) 583.

DOI: 10.1088/0964-1726/6/5/009

Google Scholar

[17] A. Alibeigloo, Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity, Composite Structures. 95 (2013) 612–622.

DOI: 10.1016/j.compstruct.2012.08.018

Google Scholar

[18] S. Natarajan, M. Haboussi, G. Manickam, Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets, Composite Structures. 113 (2014) 197–207.

DOI: 10.1016/j.compstruct.2014.03.007

Google Scholar

[19] D. Wu, L. Huang, B. Pan, Y. Wang, S. Wu, Experimental study and numerical simulation of active vibration control of a highly flexible beam using piezoelectric intelligent material, Aerospace Science and Technology. 37 (2014) 10–19.

DOI: 10.1016/j.ast.2014.04.008

Google Scholar

[20] T. Huu Quoc, T. Minh Tu, V. Van Tham, Free vibration analysis of smart laminated functionally graded CNT reinforced composite plates via new four-variable refined plate theory, Materials. 12 (2019) 3675.

DOI: 10.3390/ma12223675

Google Scholar

[21] A.M.K. Esawi, M.M. Farag, Carbon nanotube reinforced composites: potential and current challenges, Materials & Design. 28 (2007) 2394–2401.

DOI: 10.1016/j.matdes.2006.09.022

Google Scholar

[22] J. Yang, Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An-By RD Mindlin, World Scientific, (2006).

Google Scholar

[23] J.N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis, CRC press, (2003).

Google Scholar

[24] H.F. Tiersten, Linear Piezoelectric Plate Vibrations. Plenum Press, New York (1969)., (n.d.).

Google Scholar

[25] C.-K. Lee, Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: Governing equations and reciprocal relationships, The Journal of the Acoustical Society of America. 87 (1990) 1144–1158.

DOI: 10.1121/1.398788

Google Scholar

[26] H.S. Tzou, Piezoelectric shells, Springer, (1993).

Google Scholar

[27] G. Dhatt, G. Touzot, E. Lefrançois, Méthode des éléments finis, Lavoisier, (2005).

Google Scholar

[28] M. Ezzraimi, R. Tiberkak, A. Melbous, S. Rechak, LQR and PID algorithms for vibration control of piezoelectric composite plates, Mechanics. 24 (2018) 734–740.

DOI: 10.5755/j01.mech.24.5.20645

Google Scholar

[29] G.R. Liu, K.Y. Dai, K.M. Lim, Static and vibration control of composite laminates integrated with piezoelectric sensors and actuators using the radial point interpolation method, Smart Materials and Structures. 13 (2004) 1438.

DOI: 10.1088/0964-1726/13/6/015

Google Scholar

[30] P. Phung-Van, T. Nguyen-Thoi, T. Le-Dinh, H. Nguyen-Xuan, Static and free vibration analyses and dynamic control of composite plates integrated with piezoelectric sensors and actuators by the cell-based smoothed discrete shear gap method (CS-FEM-DSG3), Smart Materials and Structures. 22 (2013) 95026.

DOI: 10.1088/0964-1726/22/9/095026

Google Scholar

[31] P. Phung-Van, L. De Lorenzis, C.H. Thai, M. Abdel-Wahab, H. Nguyen-Xuan, Analysis of laminated composite plates integrated with piezoelectric sensors and actuators using higher-order shear deformation theory and isogeometric finite elements, Computational Materials Science. 96 (2015) 495–505.

DOI: 10.1016/j.commatsci.2014.04.068

Google Scholar