FREE VIBRATION ANALYSIS OF POROUS NANOPLATES USING NURBS FORMULATIONS

This paper presents free vibration analysis of functionally graded (FG) porous nanoplates based on isogeometric approach. Material properties of the nanoplates are given by using a modified power-law function. The Eringen’s nonlocal elasticity is used to capture the size effects. Based on a combination of the Hamilton’s principle and the higher order shear deformation theory, the governing equations of the porous nanoplates are derived. The obtained results demonstrate the significance of nonlocal parameter, porosity volume fraction, porosity distributions and volume fraction exponent on free vibration analysis of the nanoplates with porosities

Static and free vibration analyses of plates on elastic foundation using a cell-based smoothed three-node mindlin plate element (CS-Min3)

A cell-based smoothed three-node Mindlin plate element (CS-MIN3) was recently proposed to improve the performance of the existing three-node Mindlin plate element (MIN3) for static and free vibration analyses of Mindlin plates. In this paper, the CSMIN3 is incorporated with spring systems for treating more complicated static and free vibration analyses of Mindlin plates on the elastic foundation. The plate-foundation system is modeled as a discretization of triangular plate elements supported by discrete springs at the nodal points representing the elastic foundation. The accuracy and reliability of the proposed method are verified by comparing with those of others available numerical results