Amir Rarzam - Department of Civil Engineering, Ferdowsi University of Mashhad, Iran
Behrooz Hassani - Department of Mechanical Engineering, Ferdowsi University of Mashhad, Iran
Abbas Karamodin - Department of Civil Engineering, Ferdowsi University of Mashhad, Iran

In this paper, quasi three-dimensional (quasi-3D) hyperbolic shear deformation theory is used for the free vibration analysis of functionally graded nanoplates by using the isogeometric analysis (IGA) approach and nonlocal elasticity theory. The quasi-3D theory using five independent unknowns satisfies the free transverse shear stress conditions on the top and bottom surfaces of plate and so a shear correction factor is not needed. The displacement field takes into account both shear deformation and thickness stretching effect and the equations are derived based on physical neutral surface position. The IGA approach can easily formulate C1 continuous elements by using Non-Uniform Rational B-Spline (NURBS) functions. Numerical results are compared with other solutions.

Free vibration analysis, Functionally graded materials, Isogeometric approach, Nonlocal elasticity theory, Quasi-3D hyperbolic refined plate theory