{"title":"Free Vibration Analysis of Carbon Nanotube Reinforced Laminated Composite Panels","authors":"B. Ramgopal Reddy, K. Ramji, B. Satyanarayana","volume":56,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":1616,"pagesEnd":1621,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/14472","abstract":"<p>In this paper, free vibration analysis of carbon nanotube (CNT) reinforced laminated composite panels is presented. Three types of panels such as flat, concave and convex are considered for study. Numerical simulation is carried out using commercially available finite element analysis software ANSYS. Numerical homogenization is employed to calculate the effective elastic properties of randomly distributed carbon nanotube reinforced composites. To verify the accuracy of the finite element method, comparisons are made with existing results available in the literature for conventional laminated composite panels and good agreements are obtained. The results of the CNT reinforced composite materials are compared with conventional composite materials under different boundary conditions.<\/p>\r\n","references":"[1] Iijima, S. Helical microtubules of graphitic carbon, Nature, vol. 354,\r\npp.56-58, 1991.\r\n[2] Frankland, S.J.V., Harik, V.M., Odegard, G.M., Brenner, D.W., Gates,\r\nT.S. The stress-strain behavior of polymer-nanotube composites from\r\nmolecular dynamics simulation, Composites Science and Technology,\r\nvol. 63, pp. 1655-1661, 2003.\r\n[3] Zhu, R., Pan, E., Roy, A.K. Molecular dynamics study of the stressstrain\r\nbehavior of carbon-nanotube reinforced Epon 862 composites,\r\nMaterials Science & Engineering, vol. 447, pp. 51-57, 2007.\r\n[4] Liu, Y.J., Chen, X.L. Evaluations of the effective material properties of\r\ncarbon nanotube-based composites using a nanoscale representative\r\nvolume element, Mechanics of Materials, Vol. 35, pp. 69-81, 2003.\r\n[5] Odegard, G.M., Frankland, S.J.V., Gates, T.S. Effect of nanotube\r\nfunctionalization on the elastic properties of polyethylene nanotube\r\ncomposites, AIAA, vol.43 (8), 2005.\r\n[6] Song, Y.S., Youn, J.R. Modeling of effective elastic properties for\r\npolymer based carbon nanotube composites, Polymer, vol.47, pp.1741-\r\n1748, 2006.\r\n[7] Batra, R.C., and Sears, A. Continuum models of multi-walled carbon\r\nnanotubes, Solids and Structures, vol.44, pp.7577-7596, 2007.\r\n[8] Harald Berger et. al, Evaluation of effective material properties of\r\nrandomly distributed short cylindrical fiber composites using a\r\nnumerical homogenization technique, Mechanics of materials and\r\nstructures, vol.2, No.8, pp.1561-1570, 2007.\r\n[9] Fu, Y.M., Hong, J.W., Wang, X.Q. Analysis of nonlinear vibration for\r\nembedded carbon nanotubes. J. Sound Vib. 296, 746-756, 2006.\r\n[10] Gibson, R.F., Ayorinde, E.O., Wen, Y.F. Vibrations of carbon nanotubes\r\nand their composites: a review. Compos. Sci. Technol. 67, 1-28, 2007.\r\n[11] Ru, C.Q. Effective bending stiffness of carbon nanotubes. Phys. Rev. B\r\n62, 9973-9976, 2000.\r\n[12] Ru, C.Q. Elastic buckling of single-walled carbon nanotubes ropes under\r\nhigh pressure. Phys. Rev. B,62, 10405-10408, 2000.\r\n[13] Tserpes, K.I., Papanikos, P., Finite element modeling of single-walled\r\ncarbon nanotubes. Compos. Part B: Eng. 36, 468-477, 2005.\r\n[14] Thostenson, E.T., Ren, Z., Chou, T.W. Advances in the science and\r\ntechnology of carbon nanotubes and their composites: a review.\r\nCompos. Sci. Tech. 61, 1899-1912, 2001.\r\n[15] Fan, C.W., Lin, C.S., Hwu, C. Numerical estimation of the mechanical\r\nproperties of CNT-reinforcing composites, Proceedings of fifth Taiwan-\r\nJapan work shop on Mechanical and Aerospace Engineering, Oct.21-24,\r\n2009, Nantou, Taiwan.\r\n[16] Agarwal B.D., Broutman, L.J. \"Analysis and performance of fiber\r\ncomposites\", John wiley & sons, inc., Second Edition.\r\n[17] Rikards, R., Chate, A., Ozolinsh, O. Analysis for buckling and\r\nvibrations of composite stiffened shells and plates, Composite\r\nStructures, 51, pp: 361 to 370, 2001.\r\n[18] ANSYS, \"ANSYS Multiphysics user-s manual\", Version release 11.0.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 56, 2011"}