The effects of arbitrary boundary conditions on a laminated composite plate response subjected to large mass & low velocity impact

Reza Paknejad, Faramarz Ashenai Ghasemi^*, Keramat Malekzadeh Fard

Journal of Solid and Fluid Mechanics, Volume 8, Issue 1, 2018(4), Pages 35-49. (ISC) (In Persian)

Abstract

In this research, the effects of arbitrary boundary conditions on a laminated composite plate response subjected to large mass and low-velocity impact has been studied. When the impactor is defined large-mass, its mass ratio to the target mass is greater than 2. For this purpose, the first-order shear deformation theory was considered as the displacement field of the composite laminated plate. Then, using the analytic method based on suitable algebraic polynomials and the Galerkin function, the motion equations for several types of different boundary conditions was solved. Also in this work, the interaction between the impactor and the composite laminated plate were modeled using a two degrees-of-freedom system, consisting of springs-masses. The results indicate that the arbitrary boundary conditions are effective on the natural frequency of the composite plate. These effects are remarkable on contact forces and displacements of the composite plate for clamped to simply support and free boundary conditions. Some of parameters like arbitrary boundary conditions, mass and velocity of the impactor in a constant impact energy level and radius of impactor are important factors affecting the impact process and the design of structures.

Keywords

Impact; Composite Plate; Arbitrary Boundary Conditions; Galerkin’s Method; Springs-Masses Model.

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