Free Vibration of Functionally Graded Epoxy/Clay Nanocomposite Beams based on the First Order Shear Deformation Theory

Subject Areas : composite materials

Mahdi Karami Khorramabadi ¹

1 - Department of Mechanical Engineering, Khorramabad Branch, Islamic Azad University, Khorramabad, Iran

Received: 2018-12-25 Accepted : 2019-05-08 Published : 2019-06-01

Keywords:

References:

[1]    Kojima, Y., Usuki A., Kawasumi, M., Okada, A., Kurauchi, T., and Kamagatio, O., Synthesis of Nylon 6-Clay Hybrid by Montmorillonite Intercalated with Caprolactam, Journal of Polymer Science Part A, Vol. 8, No. 4, 1993, pp. 983-986, 10.1002/pola.1993.080310418.

[2]    Wang, M. S., Pinnavaia, T. J., Clay-Polymer Nanocomposites Formed from Acidic Derivatives of Montmorillonite and an Epoxy Resin, Chemistry of Materials, Vol. 6, No. 4, 1994, pp. 468-474, 10.1021/cm00040a022.

[3]    Lan, T., Kaviratna, P. D., and Pinnavaia, T. J., On the Nature of Polyimide-Clay Hybrid Composites, Chemistry of Materials, Vol. 6, No. 5, 1994, pp. 573–575, 10.1021/cm00041a002.

[4]    Akelah, A., Moet, A., Polymer-Clay Nanocomposites: Free-Radical Grafting of Polystyrene onto Organophilic Montmorillonite Interlayers, Journal of Materials Science, Vol. 31, No. 13, 1996, pp. 3589–3596, 10.1007/BF00360767.

[5]    Bharadwaj, R. K., Mehrabi, A. R., Hamilton, C., Trujillo, C., Muruga, M., Fan, R., Chavira, A., and Thompson, A. K., Structure–Property Relationship in Cross-Linked Polyester–Clay Nanocomposite, Polymer, Vol. 43, No. 13, 2002, pp. 3699–3705, 10.1016/S0032-3861(02)00187-8.

[6]    Fornes, T. D., Paul, D. R., Modeling Properties of Nylon 6/clay Nanocomposites Using Composite Theories, Polymer, Vol. 44, No. 17, 2002, pp. 4993–5013, 10.1016/S0032-3861(03)00471-3.

[7]    Suprakas, S. R., Masami, O., Polymer/Layered Silicate Nanocomposites: a Review from Preparation to Processing, Progress in Polymer Science, Vol. 28, No. 11, 2003, pp. 1539, 10.1016/j.progpolymsci.2003.08.002.

[8]    Jawahar, P., Kanny, K., and Balasubramanian, M., Influence of Nanoclay  Addition on Properties of Unsaturated-Polyester Nanocomposite Gel Coat System, Journal of Polymer Engineering, Vol. 29, No. 8, 2009, pp. 563–580, 10.1515/POLYENG.2009.29.8-9.563.

[9]    Chandra, R., Singh, S. P., and Gupta, K., Damping Studies in Fiber Reinforced Composites, Composite Structures, Vol. 46, No. 1, 1999, pp. 41–51, 10.1016/S0263-8223(99)00041-0.

[10] Chandradass, J., Rameshkumar, M., and Velmurugan, R., Effect of Nanoclay  Addition on Vibration Properties of Glass Fiber Reinforced Vinyl Ester Composites, Materials Letters, Vol. 61, No. 22, 2007, pp. 4385–4388, 10.1016/j.matlet.2007.02.009.

[11] Chandradass, J., Rameshkumar, M., and Velmurugan, R., Effect of Clay Dispersion on Mechanical, Thermal and Vibration Properties of Glass-Fiber Reinforced Vinyl Ester Composite, Journal of Reinforced Plastics and Composites, Vol. 27, No. 15, 2008, pp. 1585–1601, 10.1177/0731684407081368.

[12] Mohan, T. P., Rameshkumar, M., and Velmurugan, R., Thermal, Mechanical and Vibration Characteristics of Epoxy-Clay Nanocomposites, Journal of Materials Science, Vol. 41, No. 18, 2006, pp. 5915–5925, 10.1007/s10853-006-0278-2.

[13] Holland, J. H., Adaptation in Natural and Artificial Systems, University of Michigan press, Ann Arbor, Michigan, United State of America, 1975, pp. 28-114.

[14] Wang, C. M., Reddy, J. N., Shear Deformable Beams and Plates, Elsevier, Oxford, England, 2000, pp. 223-242.

[15] Reddy, J. N., Mechanics of Laminated Composite Plates and Shells Theory and Analysis, CRC, New York, United State of America, 2004, pp. 187-199.

[16] Thomas, B., Inamdar, P., Roy, T., and Nada, B. K., Finite Element Modeling and Free Vibration Analysis of Functionally Graded Nanocomposite Beams Reinforced by Randomly Oriented Carbon Nanotubes, International Journal on Theoretical and Applied Research in Mechanical Engineering [online journal], Vol. 2, No. 4, 2013, pp. 97-102, URL: http://irdindia.in/journal _ijtarme/volume_2_issue_4.html [cited 1 May 2013].

[17] Kozlov, G., Dzhangurazov, B., Ziakov, G., and Mikitaev, A., The Nanocomposites Polyethylene/organoclay Permeability to Gas Description within the Frameworks of Percolation and Multifractal Models, Chemistry & Chemical Technology [online journal], Vol. 6, No. 2, 2012, pp. 163-166, URL: http://ena.lp.edu.ua:8080/handle/ntb/13482 [cited 7 July 2012].

[18] Lei, Z. X., Liew, K .M., and Yu, J. L., Free Vibration Analysis of Functionally Graded Carbon Nanotube-Reinforced Composite Plates Using the Element-kp-Ritz Method in Thermal Environment, Composite Structures, Vol. 106, No. 1, 2013, pp. 128-138, 10.1016/j.compstruct.2013.06.003.