Nonlocal deformation and free vibration analysis of thick axisymmetric circular plates by using finite element method

Nonlocal deformation and free vibration analysis of thick axisymmetric circular plates by using finite element method

The static deformation and free vibration analysis of axisymmetric and isotropic circular plates based on nonlocal theory of Eringen is presented. The first order shear deformation plate theory is used. The finite element method is used for the solution, and circular and annular plates with various geometry and boundary conditions are considered. The governing equations are derived from Hamilton principle and by setting nonlocal parameter e a 0 equal to zero, all equations reduce to the local form. Numerical results show that nano plate behavior is strongly dependent on boundary conditions, and for the axisymmetric circular and annular nano plate the effect of nonlocal parameter and boundary conditions are similar to nano beams.