Analysis of laminated plates by trigonometric theory, radial basis, and unified formulation

A study using the radial basis function (RBF) collocation method to analyze static deformations, free vibrations, and buckling loads of square cross-ply laminated plates using a sinus-based shear and normal deformation theory is presented, allowing for through-the-thickness deformations. The principle of virtual displacements is used to obtain the equations of motions and boundary conditions and the governing equations in strong form for the RBF method are observed. A simply supported square laminated plate of side a and thickness h, composed of four equally layers oriented at [0/90/90/0°], is considered. It is found that the present mesh-less results are in very close agreement with the mesh-free results. The laminated plate is supported along the edges parallel to the x axis, while the other two edges may be simply supported (S) or clamped (C). An excellent agreement is achieved for all edge conditions when comparing the results obtained by the present RBF approach with those found earlier