Keywords: nonlinear analysis, large deflection, sandwich plate, blast load, damping, finite difference.

Sandwich structures are used in the construction of advanced supersonic-hypersonic flight vehicles, as well as in marine constructions. With the advent of sandwich structures and their increased use in the industry, there is a need to reconsider the problem of the nonlinear dynamic behavior of sandwich plates exposed to time-dependent pulses, such as sonic boom and blast loadings.

Several studies for sandwich constructions are reviewed in the literature [1,2,3]. However, only a few studies in the nonlinear response of laminated sandwich composite plates subjected to blast load are investigated. Hause and Librescu [4] considered the response of anisotropic sandwich flat panels to explosive pressure pulses. Librescu et al. [5] investigated linear and non-linear dynamic response of sandwich panels under blast load. In this paper, parametric studies are conducted on blast loaded sandwich plates. The dynamic response of sandwich flat panels subject to time-dependent loads generated by a shock wave underwater are considered by Librescu et al. [6]. Nonlinear dynamic response of a sandwich plate subjected to a blast load is investigated by Bas et al. [7].

In this paper, the equations of motion of a laminated sandwich composite rectangular plate under blast load are derived in the frame of the von Kármán large deflection theory of thin plates. Damping effects are also included. The clamped boundary conditions are assumed for the all edges of the plate. The equations of motion are derived using the virtual work principle. The displacement field in the space domain is approximated by the functions, which satisfy the certain boundary and symmetry conditions. Then, the Galerkin method is applied to the equations of motion to obtain a set of nonlinear-coupled equations. The resulting equations are solved by writing a FORTRAN code. The effects of aspect ratio, plate thickness and damping on the dynamic response of the plate are examined.

1

A.K. Noor, W.S. Burton, C.W. Bert, "Computational models for sandwich panels and shells", Applied Mechanics Reviews, 4(3), 155-199, 1996. doi:10.1115/1.3101923

2

L. Librescu, T. Hause, "Recent development in the modelling and behavior of advanced sandwich constructions: a survey", Journal of Composite Structures, 48(1-3), 1-17, 2000. doi:10.1016/S0263-8223(99)00068-9

3

J.R. Vinson, "Sandwich structures", Applied Mechanics Reviews, 54(3), 201-214, 2001. doi:10.1115/1.3097295

4

T. Hause, L. Librescu, "Dynamic response of anisotropic sandwich flat panels to explosive pressure pulses", International Journal of Impact Engineering, 31, 607-628, 2005. doi:10.1016/j.ijimpeng.2004.01.002

5

L. Librescu, S.Y. Oh, J. Hohe, "Linear and non-linear dynamic response of sandwich panels to blast loading", Composites: Part B, 35, 673-683, 2004. doi:10.1016/j.compositesb.2003.07.003

6

L. Librescu, S.Y. Oh, J. Hohe, "Dynamic response of anisotropic sandwich flat panels to underwater and in-air explosions", International Journal of Solids and Structures, 43, 3794-3816, 2006. doi:10.1016/j.ijsolstr.2005.03.052

7

A. Bas, Z. Kazanci, Z. Mecitoglu, "Nonlinear response of a sandwich plate subjected to blast load", ASME International Mechanical Engineering Congress and Exposition, 11-15 November 2007, (IMECE 2007), Seattle, Washington, USA, 2007.

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