Abstract
This paper focuses on the free vibration analysis of laminated sectorial and rectangular plates with varying fiber angle by means of the first-order shear deformation theory (FSDT) and the meshfree strong form method. A meshfree Legendre-radial point interpolation method (Legendre-RIPM) shape function using the combined basis of multi-quadrics (MQ) radial function and Legendre polynomials is presented. The equations of motion and boundary conditions are discretized by meshfree strong form method and the displacements are approximated using the Legendre-RIPM shape function. The accuracy and reliability of the current method are validated by comparing the results of the literature and the ABAQUS. The effects of some geometrical parameters on the natural frequencies of laminated sectorial and rectangular plates with varying fiber angles are investigated through numerical examples.
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