Free Vibration Analysis of Symmetrically Laminated Fully Clamped Skew Plates Using Extended Kantorovich Method

Abstract:

Article Preview

In this paper, free vibration analysis of thin symmetrically laminated skew plates with fully clamped edges is investigated. The governing differential equation for skew plate which is a fourth order partial differential equation (PDE) is obtained by transforming the differential equation in Cartesian coordinates into skew coordinates. Based on the multi-term extended Kantorovich method (MTEKM) an efficient and accurate approximate closed-form solution is presented for the governing PDE. Application of the MTEKM reduces the governing PDE to a dual set of ordinary differential equations. These sets of equations are then solved with infinite power series solution, in an iterative manner until convergence was achieved. Results of this study show the fast rate of convergence of the MTEKM. Usually two or three iterations are enough to obtain reasonably accurate results. The frequency parameters of laminated composite plates are obtained for different skew angles and lay-up configuration for different composites laminates skew plates. Comparisons have been made with the available results in the literature which show the accuracy and efficiency of the method.

Info:

Periodical:

Key Engineering Materials (Volumes 471-472)

Edited by:

S.M. Sapuan, F. Mustapha, D.L. Majid, Z. Leman, A.H.M. Ariff, M.K.A. Ariffin, M.Y.M. Zuhri, M.R. Ishak and J. Sahari

Pages:

739-744

DOI:

10.4028/www.scientific.net/KEM.471-472.739

Citation:

A. Fallah et al., "Free Vibration Analysis of Symmetrically Laminated Fully Clamped Skew Plates Using Extended Kantorovich Method", Key Engineering Materials, Vols. 471-472, pp. 739-744, 2011

Online since:

February 2011

Export:

Price:

$38.00

[1] K.M. Liew and C.M. Wang: Comp. Struc. Vol. 49 (1993), p.941.

[2] A. Krishnan and J.V. Deshpanda: J Sound Vibration Vol. 153 (1992), p.351.

[3] K. Hosokawa, Y. Terada and T. Sakata: J Sound Vibration Vol. 189 (1996), p.525.

[4] A.R.K. Reddy and R. Palaninathan: Comp. Struc. Vol. 70 (1999), p.415.

[5] G. Anlas and G. Goker: J Sound Vibration Vol. 242 (2001), p.265.

[6] P. Malekzadeh: J Thin Wall Struct. Vol. 45 (2007), p.237.

[7] A.S. Ashour: J Sound Vibration Vol. 323 (2009), p.444.

[8] A.D. Kerr: Int. J Solids Struct. Vol. 5 (1969), p.559.

[9] I. Shufrin and M. Eisenberger: J Sound Vibration Vol. 290 (2006), p.465.

[10] M.M. Aghdam and S.R. Falahatgar: Compos. Struct., vol. 62(2003), p.279–83.

[11] V. Ungbhakorn and P. Singhatanadgid: Comp. Struc. Vol. 73 (2006), p.120.

[12] M.M. Aghdam, M. Mohammadi, andV. Erfanian: J Thin Wall Struct. Vol. 45 (2007), p.990.

[13] F. Alijani, M.M. Aghdam, and M. Abuhamze: Eur. J. Mech. A-Solid, vol. 27(2008), p.378.

[14] S. Yuan and Y. Jin: Comp. Struc. Vol. 66 (1998), p.861.

[15] I. Shufrin, O. Rabinovitch and M. Eisenberger: Int. J Mech. Sci. Vol. 52 (2010).

In order to see related information, you need to Login.