A meshfree radial point interpolation method for free vibration of laminated composite plates analysis based on layerwise theory

A meshfree radial point interpolation method for free vibration analysis of laminated composite plates is presented in this paper. The idea approach bases on integrating a layerwise theory with the RPIM shape function constructed by the modified Gaussian function. In the layerwise theory, proposed by Ferreira A.J.M. [1] in 2005, the displacement field is assumed first-order shear deformation theory (FSDT) with independent rotations in each layer, and imposed displacement continuity at contact position of the layers interfaces. Hereby, that easily improves the accuracy of transverse shear stresses and the using of shear correction factors is not required. The high performances of present method are considered by investigating characteristic properties of laminated composite through numerical examples. The obtained results are discussed and compared with other previous solutions in the literature.