Dynamic Analysis of Carbon Nanotube-Reinforced Multilayer Composite Plates
الموضوعات :
Jamshid Ebrahimi
1
(
Department of Mechanical Engineering,
Malek Ashtar University of Technology, Tehran, Iran
)
Jafar Eskandari Jam
2
(
Department of Mechanical Engineering,
Malek Ashtar University of Technology, Tehran, Iran
)
Reza Azarafza
3
(
Department of Mechanical Engineering,
Malek Ashtar University of Technology, Tehran, Iran
)
Mohsen Heydari Beni
4
(
Department of Mechanical Engineering,
Malek Ashtar University of Technology, Tehran, Iran
)
Majid Eskandari Shahraki
5
(
Department of Aerospace Engineering,
Ferdowsi University of Mashhad, Iran
)
الکلمات المفتاحية: FSDT, Finite Element, Composite plates, vibrations, Carbon nanotubes,
ملخص المقالة :
The paper studied the analysis of vibrations of rectangular carbon nanotube-reinforced composite plates. To this end, a three-layer nanocomposite plate - two layers with the targeted distribution of carbon nanotubes as FG-X at the top and bottom and a layer without an amplifier in the middle of the plate - were analyzed. The governing equations for this problem are based on First-order Shear Deformation Theory (FSDT). The distribution of nanotubes on these plates is as targeted FG-X. The effect of various types of SWCNTs distributions in the direction of thickness on the vibrational behavior of nanocomposite plates was examined. The effective properties of nanocomposite materials Functionally Graded Carbon Nanotube-Reinforced Composite (FG-CNTRC) were estimated using the rule of mixtures. Detailed parametric studies were performed to determine the effects of the volume fraction of carbon nanotubes and the thickness-to-length ratio of the plate on the natural frequency responses and the shape of the plate mode. The equations obtained in this problem were coded in MATLAB software, the nanocomposite plate was modelled in ABAQUS software, and the comparison of the results obtained from the numerical solution with ABAQUS software showed relatively right consistency with the results obtained from the analytical solution.
[1] Iijima, S., Helical Microtubules of Graphitic Carbon, Nature, Vol. 354, 1991, pp. 56–58.
[2] Asadi, E., Manufacturing and Experimental Study of Vibration of Laminated Composite Plates Reinforced by Carbon Nano-Tube, MSc Thesis, Malek-Ashtar Uuniversity of Technology, Iran, 2013.
[3] Lei, Z. X., Liew, K. M., and Yu, J. L., Free Vibration Analysis of Functionally Graded Carbon Nanotube-Reinforced Composite Plates Using the Element-Free kp-Ritz Method in Thermal Environment, Compos. Struct., Vol 106, 2013, pp. 128-138.
[4] Rahim. Nami, M., Janghorban, M., Free Vibration of Thick Functionally Graded Carbon Nanotube-Reinforced Rectangular Composite Plates Based On Three-Dimensional Elasticity Theory via Differential Quadrature Method, Advanced composite Materials, 2014, pp. 439-450.
[5] Akbar. Alibeigloo, Ali. Emtehani, Static and Free Vibration Analyses of Carbon Nanotube-Reinforced Composite Plate Using Differential Quadrature Method, Meccanica, Vol. 50, 2015, pp. 61-76.
[6] Amraei, J. Emami, J., and Jam, J. E., Free Vibrations of Laminated Rectangular Plate Reinforced With Carbon Nanotubes, Wiley, DOI 10.1002/pc.23788, Polymer Composites-2015.
[7] Dinh Dat, N., Quoc Quan, T., Mahesh, V., and Dinh Duc, N., Analytical Solutions for Nonlinear Magneto-Electro-Elastic Vibration of Smart Sandwich Plate with Carbon Nanotube Reinforced Nanocomposite Core in Hygrothermal Environment, International Journal of Mechanical Sciences, Vol. 186, 2020, 105906,
[8] Formica, G., Lacarbonara, W., and Alessi, R., Vibrations of Carbon Nanotube-Reinforced Composites, Journal of Sound and Vibration, Vol. 329, No. 10, 2010, pp. 1875-1889.
[9] Esawi, A. M. K., Farag, M. M., Carbon Nanotube Reinforced Composites: Potential and Current Challenges, Mater Des, Vol. 28, 2007, PP. 2394–401.
[10] Fidelus, J. D., Wiesel, E., Gojny, F. H., Schulte, K., and Wagner, H. D., Thermo-Mechanical Properties of Randomly Oriented Carbon/Epoxy Nanocomposites, Compos Part A: Appl Sci Manuf, Vol. 36, 2005, pp. 1555–61.
[11] Shen, S., Nonlinear Bending of Functionally Graded Carbon Nanotube Reinforced Composite Plates in Thermal Environments, Compos Struct, Vol. 91, 2009, pp. 9–19.
[12] Zhu, P., Lei, Z. X., and Liew, K. M., Static and Free Vibration Analyses of Carbon Nanotube Reinforced Composite Plates Using Finite Element Method with First Order Shear Deformation Plate Theory, Compos Struct, Vol. 94, 2012, pp. 1450–60.
[13] Lei, Z. X., Liew, K. M., and Yu, J. L., Free Vibration Analysis of Functionally Graded Carbon Nanotube-Reinforced Composite Plates Using the Element-Free Kp-Ritz Method in Thermal Environment, Compos. Struct., Vol. 106, 2013, pp. 128-138.
[14] Phuc Phung, V., Magd Abdel, W., Liew, K. M., Bordas, S. P. A., and Nguyen-Xuan, H., Isogeometric Analysis of Functionally Graded Carbon Nanotube-Reinforced Composite Plates Using Higher-Order Shear Deformation Theory, Composite structures, vOL. 123, 2015, pp. 137-149.
[15] Reddy, J. N., Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press LLC, The United States of America, 2004.
[16] Zhang, L. W., Lei, Z. X., and Liew, K. M., Vibration Characteristic of Moderately Thick Functionally Graded Carbon Nanotube Reinforced Composite Skew Plates, Composite Structures, Vol. 122, 2015, pp. 172-183.
[17] Moradi.Dastjerdi, R., Stress Distribution in Functionally Graded Nanocomposite Cylinders Reinforced by Wavy Carbon Nanotube, Advanced Design and Manufacturing Technology, Vol. 7, No. 4, 2014, pp. 43-54.
[18] beigloo, A., Emtehani, A., Static and Free Vibration Analyses of Carbon Nanotube-Reinforced Composite Plate Using Differential Quadrature Method, Meccanica, 2015, 50. 10.1007/s11012-014-0050-7.
