Study of the effect of various material parameters on the free vibration analysis of laminated composite plates

Apurbba Kumar Sharma*, **
* Department of Mechanical Engineering, Madhav Institute of Technology and Science, Gwalior, India.
** Department of Applied Mechanics, Maulana Azad National Institute of Technology, Bhopal, India.
Periodicity:November - January'2012
DOI : https://doi.org/10.26634/jme.2.1.1558

Abstract

A finite element model, based on first-order shear deformation theory, is used in this study for the free vibration analysis of laminated composite plates. In this paper, the free vibration analysis of laminated composite plates are studied for different support conditions, aspect ratio, lamination scheme, material anisotropy, span to thickness ratios and stacking sequences. It is revealed that the first-order shear deformation theory provides reasonably dependable results for natural frequencies of laminated composite plates.  The good agreement with other methods demonstrates the validity and the reliability of the proposed method.

Keywords

free vibration, laminated plate, first-order shear deformation theory, finite element method.

How to Cite this Article?

Avadesh K. Sharma and N.D. Mittal (2012). Study Of The Effect Of Various Material Parameters On The Free Vibration Analysis Of Laminated Composite Plates. i-manager’s Journal on Mechanical Engineering, 2(1), 67-73. https://doi.org/10.26634/jme.2.1.1558

References

[1]. Bert C. W. (1982). Research on dynamics of composite sandwich plates. Shock and Vibration Digest, 14,17–34.
[2]. Mohamad S. Q. (2002). Recent research advances in the dynamic behavior of shell: 1989–2000, Part 1: Laminated composite shells. ASME Applied Mechanics Reviews 2002; 55(4),325–350.
[3]. Yang H. T. Y., Saigal S., Masud A., Kapania R.K. (2000). A survey of recent shell finite elements. International Journal for Numerical Methods in Engineering, 47, 101–127.
[4]. R F Gibson. (1983). 'Recent Research on Dynamic Mechanical Properties of Fibre Reinforced composite Materials and Structures.' Shock and Vibration Digest, vol 15, No 2, pp 3.
[5]. A A Khdeir. (1988). 'Free Vibration and Buckling of Symmetric Crossply Laminated Plates by an Exact Method.' Journal of Sound and Vibration, Vol 126, No 3, 1988, p 447.
[6]. S Latheswary, K. V. Valsarajan,Y. V. K. S Rao., (2004). Free Vibration Analysis of Laminated Plates using Higher-order Shear Deformation Theory. IE(I) Journal-AS, Vol 85, May.
[7]. M. Ganapathi, mit Kalyani., Bhaskar Mondal and T. Prakash. (2009). Free vibration analysis of simply supported composite laminated panels. Composite Structures, 90, pp 100–103.
[8]. M. Rastgaar Aagaah, M. Mahinfalah and G. Nakhaie Jazar,(2003). Linear static analysis and finite element modeling for laminated composite plates using third order shear deformation theory. Composite Structures, 62, pp. 27–39.
[9]. Timothy W. Taylor and Adnan H. Nayfeh, (1996). The vibration characteristics of thick rectangular multilayered plates. Composites Part B, Vol. 27B p.623-631.
[10]. H. R. H. Kabir, (1999). 'On the Frequency Response of Moderately Thick Simply-supported Rectangular Plates with Arbitrary Lamination. International Journal of Solids and Structures, Vol 36, p 22-85.
[11]. Xiang S., Wang K. M. (2009). Free vibration analysis of symmetric laminated composite plates by trigonometric shear deformation theory and inverse multiquadric RBF, Thin-Walled structures, 47, 304-310.
[12]. Liew, K.M.(1996). “Solving the vibation of thick symmetric laminates by reissner/mindlin plate theory and the p-ritz method” Journal of Sound and Vibration, 198(3), 343-360.
[13]. K Kamal and S Durvasula. (1986). 'Some Studies on Free Vibration of Composite Laminates.' Composite Structures, Vol 5, p 177.
[14]. J N Reddy and N D Phan. (1985). 'Stability and Vibration of Isotropic and Laminated Plates According to a Higher-order Shear Deformation Theory. Journal of Sound and Vibration, Vol 98, p 157.
[15]. Zhang, Y.X. and Yang, C.H. (2009). “Recent developments in finite element analysis for laminated composite plates” Composite Structures 88 147–157.
[16]. T Kant and Mallikarjuna. (1989). 'A Higher-order Theory for free Vibration of Unsymmetrically Laminated Composite and Sandwich Plates–Finite Element Evaluations.' Computers and Structures, Vol 32, no 5, p 1125.
[17]. A K Ghosh and S S Dey. (1994). 'Free Vibration of Laminated Composite Plates – A Simple Finite Element Based on Higher- order Theory.' Computers and Structures, Vol .52, No. 3, p 397.
[18]. S. A. Ambartsumyan. (1970). 'Theory of Anisotropic Plates', Technomic, Stanford, CT.
[19]. Reddy J.N. (2004). Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, New York.
[20]. Reddy J.N., Khdeir A.A. (1989). Buckling and vibration of laminated composite plates using various plate theories. AIAA J, 27,1808–17.
[21]. Hadian J, Nayfeh AH.(1993). Free vibration and buckling of shear deformable cross-ply laminated plates using state-space concept. Comp Struct, 4, 677–93.
[22]. Qatu MS.(1991). Free vibration of laminated composite rectangular plates. Int J Solids Struct, 28(8), 941–54.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Online 15 15

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.